This is an author-deposited version published in : Eprints ID : 11904

Size: px
Start display at page:

Download "This is an author-deposited version published in : Eprints ID : 11904"

Transcription

1 Open Archive TOULOUSE Archive Ouverte (OATAO) OATAO is an open access repository that collects the work o Toulouse researchers and makes it reely available over the web where possible. This is an author-deposited version published in : Eprints ID : To cite this version : Dehmous, Hocine and Karama, Moussa and Welemane, Hélène Contribution o a micromechanics-based approach or reliability assessment. (2014) In: International Conerence on Accelerated Lie Testing and Degradation Models ALT 2014, 11 June June 2014 (Pau, rance). Any correspondance concerning this service should be sent to the repository administrator: sta-oatao@listes-di.inp-toulouse.r

2 Contribution o a micromechanics-based approach or reliability assessment Hocine Dehmous 1, Moussa Karama 2 and Hélène Welemane 2 1 Université Mouloud Mammeri, Campus Hasnaoua, Tizi-Ouzou CP , Algérie, dehmous hocine@yahoo.r 2 Université de Toulouse; INP/ENIT; LGP; 47, avenue d Azereix, Tarbes cedex, rance, Moussa.Karama@enit.r, Helene.Welemane@enit.r The paper intends to widely develop the use o a new methodology or the design and optimization o composite materials and structures. Based on the coupling o reliability methods and homogenization techniques, such approach allows the integration o uncertainties at dierent scales in the problem analysis (i.e. rom the microscopic scale o the composite material components up to the macroscopic scale o the structure) and the investigation o their consequences in the ailure prediction. The principles and implementation steps o such original method have already been described in details (Int. J. Mech. Sci. 53 (2011) ; Eng. ail. Analysis 18 (2011) ). This work ocuses on its application and signiicant progress allowed in the design phase or engineering composite materials. Illustrations are presented on the case o a civil engineering structure, namely the Laroin ootbridge (rance) with carbon epoxy stay cables, and highlight reliability-based innovations and exploitations regarding the structure optimization. Keywords: Reliability, composite materials, multi-scale analysis, design, optimization 1 Introduction Uncertainties on constituent properties, ibre distribution, structural geometry, manuacturing process parameters or loading conditions clearly aect the design and optimization o composites structures. The related variability o their mechanical perormances requires large saety actors in deterministic structural calculations and induces a signiicant loss in the weight/resistance ratio. In this context, reliability-based analyses have been developed or a ew years to provide a consistent and rational estimation o the risk by introducing the random character o design parameters (materials properties, loads, geometry,..). The quantitative evaluation o reliability indicators (such as the ailure probability) obtained by these methods leads then to an enriched representation o the composites behaviour that signiicantly helps or both the design and maintenance o structures, and more generally or the development o composite materials [5, 10]. Most o reliability-based approaches are primarily designed to establish the reliability o a structure as unction o the applied load and macroscopic parameters such as geometry and material strengths (or instance [1, 6, 11, 13, 14]). An original approach that simultaneously considers reliability and micromechanics has been recently proposed by the authors to improve this representation [4, 16]. or heterogeneous materials such as composites, homogenization techniques allow indeed the derivation o their overall behaviour rom microscopic eatures (components behavior and morphology). At the same time, local stress or strain within components can also be obtained, which is particularly relevant or the consideration o a local ailure criteria (see [8, 17]). The association o reliability methods with micromechanics oers then a better insight into the modelling o uncertainties aecting composites, including especially the luctuations at various scales (microscopic to macroscopic) and also a physical motivation or the deinition o the material reliability. These two points are important issues to understand the propagation o variability rom micro to larger scales [15] but, above all, to derive a robust ramework or reliability evaluation [3]. Interest o the coupled approach has been previously illustrated or material engineering through the identiication and validation o micromechanical models [16]. The ability to derive multi-scale analyses has also been

3 Hocine Dehmous, Moussa Karama and Hélène Welemane demonstrated [4]. The present work intends to ocus on the question o design and optimization, through an application case in civil engineering. The objective is here to highlight the innovative tools provided by the methodology in the context o reliability based design, or instance to get the best structure under a reliability constraint or to improve the manuacturing process. Ater a general recall o the methodology and description o the case study, we present in what ollows the design interest or an engineering material optimization, based on the integration o uncertainties related to the components properties and composite morphology. 2 General background and case study The originality o the approach suggested by the authors lies in the association o two classical approaches or the study o composite materials: Reliability methods that introduce in the mechanical modelling the uncertain character o design variables and allow the study o the related consequences on the structure response, Homogenization techniques which aim at determining rom the microstructure o a Representative Volume Element (RVE) o the material its overall (eective) mechanical behaviour and the local response within components or a given macroscopic load. Theoretical developments and implementation details can be ound in [4, 16]. We intend here to recall the key points o such coupling and assumptions used or the case study. 2.1 Coupling o reliability methods and micromechanics In the coupled approach, major stages encountered during any reliability study take into account the speciic aspects o micromechanics: 1. irst the selection o random variables {X i } i=1,n in order to capture most o inherent luctuations involved in the problem, and at the same time to oer at this starting point a broad analysis o design parameters; or heterogeneous materials such as composites, microstructural parameters clearly inluence the material eective behaviour and should thereore be considered as random variables; important requirements are the availability o the statistical representation o these random parameters and the limit size o the problem (number N) that should be compatible with reasonable calculation time; 2. The choice o the ailure scenario deined by a mathematical unction G: this step includes both an adequate representation o the structure mechanical behaviour and a physical deinition o the limit state (according either to strength achievement or serviceability); the ability provided by micromechanics to derive local stresses or strains induced by a macroscopic load is a major asset or a consistent deinition o G in relation with the physical mechanisms involved ; 3. The estimation o probabilistic indicators (e.g. probability o ailure P or reliability index β): in the context o composite structures investigation, one oten resorts to numerical approximation methods in view o their suitability with inite element simulations and their design interest through sensitivity analyses on random variables. Generally speaking, note that this approach should be conducted several times in order to select the signiicant random parameters o the problem considered and to ensure thereore the computational eiciency o reliability calculations. 2.2 Application to the Laroin ootbridge The demonstration o the potential o such approach or composites design and optimization is practically supported by a case study in civil engineering. The considered structure is a pedestrian ootbridge located in Laroin (Pyrénées Atlantiques, rance, ig. 1(a)). Built in 2002, this is the irst structure in this country conceived with composite stay cables [7]. It is composed o a steel deck, two steel reversed V-shaped pylons o m height,

4 Contribution o a micromechanics-based approach or reliability assessment composite stay cables steel stending stay cable deck pylon anchorage (a) (b) ig. 1: Laroin ootbridge: Picture (a) and structure (b). one high-strength steel stending cable or each pylon and its single span o 110 m length is maintained at each side by eight composite stay cables. Each stay cable is composed o two or three strands o seven unidirectional cylindrical composite rods (ig. 1(b)). Composite rods are made o Torayca high-strength carbon ibres T700SC-12K and Bostik indley epoxy resin Eponal 401. They have been manuactured by pultrusion by the Toray Carbon ibers Europe company (mean ibre volume raction o 67%). The mechanical behaviour o the composite material is described by means o the Mori-Tanaka ormulation [2, 12] with a slight adjustment to relect more eectively the manuacturing process. Based on the experience o Toray Carbon ibers Europe, it seems indeed that only a raction o ibres in the composite actually contributes to the composite response (due or instance to ibres misalignment, impregnation deects, etc.). Accordingly, the ibre volume raction appearing in the classical expressions o the Mori-Tanaka constitutive law has been changed in this way: = pact (1) with pact 100% the amount o ibres really active rom the mechanical point o view. This parameter, which characterizes the quality o the manuacturing process, has been identiied on the pultrusion production line. In this study, reliability assessment corresponds to the mechanical strength achievement o these rods under monotonic tensile load. The ailure scenario is deined to account or the microstructural origin o the ailure, namely by the ibres brittle behaviour through the ollowing limit state unction: G = σ (n) σi ( ) (2) where σ (n) denotes the ibre axial ailure strength (axial direction denoted by unit vector n) and σi ( ) the maximum principal value o the average local stress over the ibre phase. I the irst term is a material data provided by manuacturers, the second is derived through the micromechanical model. Reliability calculations have been carried out with the probabilistic code ERUM (inite Element Reliability Using Matlab [9]) by means o a direct coupling with the micromechanical model. ORM (irst-order Reliability Method [5, 10]) approximation method has been used since it exhibits a remarkable computational eiciency and provides valuable data or design issues (such as elasticities, see section 3.1). 3 Micromechanical-based reliability analysis The present work aims at studying the reliability-based design o composite rods used or the stay cables o the Laroin ootbridge, subjected to monotonic longitudinal tension. 3.1 Reerence point Based on the micromechanical model developed in [4, 16], the ive random variables {Xi }i=1,5 taken into account in this study concerns both micro and macro scale data o the problem:

5 Hocine Dehmous, Moussa Karama and Hélène Welemane components mechanical properties : ibre yield strength σ (n), manuacturing process parameters : ibre volume raction, active ibre raction p act, rod diameter ϕ, load condition : axial load, since their variability clearly aects the composite reliability. It has been shown in [16] that components elastic properties (ibre and resin) could be chosen as deterministic due to their weak inluence. Regarding the considered case study, manuacturers (o ibre materials and composite materials) have provided the statistical distribution o the irst our parameters that ollow a Normal law (mean value and standard deviation are respectively denoted by X i and S X. We assume also a Normal distribution or the load and the study is centred around the operating point = 76 kn that corresponds to reliability index β = (such security level is approved in civil engineering structures or which β should be greater than 3 or, equivalently, ailure probability P should be greater than 10 3 ). All these data are detailed in Table 1 and will be considered as the reerence point in what ollows. Random variables re. mean value X re i re. standard deviation SX re i ibre yield strength (MPa) σ (n) ibre volume raction (%) Active ibre raction (%) p act Rod diameter (mm) ϕ Axial load (kn) Tab. 1: Random variables Reerence point. The sensitivity analysis o the ORM method provides elasticities {e ri } i=1,n according to the distribution parameters o each random variable (here the mean value r i = X i or the standard deviation r i = S X deined by: e ri = r i β (P ), i [1..N] (3) β r i with P the design point (most probable ailure point) [10]. Such analysis gives the global tendency regarding the origin o the scatter in the material response. This helps to discriminate variables that could be considered as deterministic (such as components elastic properties [16]) and to compare variables between them. As an illustration, igure 2 gives the reliability elasticities or the composite rod regarding respectively the variables mean value (ig. 2(a)) and their standard deviation (ig. 2(b)). We can distinguish strength variables with e ri 0 (respectively loading variables with e ri 0) or which an increase in their mean value improves (resp. alters) the structure reliability. Whatever the variable, an increase o the standard deviation obviously leads to an increase in the ailure probability. Here, we note that the mean value o the geometric parameter ϕ and the deviation scatter on the ibre yield strength σ (n) play the most crucial role in the structure reliability. Yet, such analysis does not provide practical arguments or designers to take quantitative decisions regarding the composite structure. Our aim is then to develop in what ollows the micromechanics-based analysis rom another point o view in order to really quantiy the inluences detected beore and help or design choices. 3.2 Evolution range In this way, we need irst to consider allowable evolutions o the distribution parameters o the dierent variables. In particular, these evolutions have to be chosen according to the potentialities o materials and manuacturing machines and should also be compatible with assumptions o the mechanical model. To illustrate the approach, we have considered in table 2 an acceptable evolution range or the mean value X i o each random variable (range ratio relative to their reerence value is indicated or clearness). Without speciic data, an extended and uniorm range ratio has been taken or the standard deviation S Xi (S Xi = 0 corresponding to the deterministic case). Several simulations have then been carried out in which one distribution parameter o each random variable evolves independently within its interval deined in table 2, the other being ixed to their value given in table 1. or each calculation coniguration, explicit ormulation provided by the Mori-Tanaka scheme and the small number

6 Contribution o a micromechanics-based approach or reliability assessment e ri σ (n) p act φ e ri p act φ σ (n) (a) (b) ig. 2: Elasticities e ri according to the distribution parameters o random variables at the reerence point: mean value r i = X i (a) and standard deviation r i = S Xi (b). standard deviation S Xi Random variables mean value X i ([0, 150%] o SX re i ) ibre yield strength (MPa) σ (n) [4384, 5356] [0, 243.5] (±10% o X re [64, 70] ibre volume raction (%) (±5% o X re [90, 100] Active ibre raction (%) p act (±5.2% o X re Rod diameter (mm) Axial load (kn) ϕ [5.8, 6.2] (±3% o X re [64.6, 87.4] (±15% o X re [0, 0.5] [0, 1] [0, 0.05] [0, 3.8] Tab. 2: Evolution range o the distribution parameters o random variables around the reerence point. o variables allow to derive a precise value o reliability index β with a reasonable number o calls to unction G (around 50). 4 Results and discussion igure 3 shows the evolution o index β according to the mean value o each random variable. An increase (respectively decrease) o β with X i is obviously obtained or strength variables (resp. loading variables). or the present model and application case, we obtain a quasi linear evolution o β regarding mean values X i o random variables. In agreement with the model correction (1) and elasticities described on igure 2(a), we ind a similar behaviour or and p act variables and a major inluence o ϕ through the steepest slope. or designers, such result allows to deine either changes o parameters or the maximum load amplitude to respect a given reliability level. or instance, the reliability index β = at the reerence point can be raised to β = 3.5 (corresponding to an increase o 15%) either by an increase o 2% o the ibre yield strength (that is with σ (n) = 4970 MPa) or with an increase o 1% o the rod diameter (that is with ϕ = 6.07 mm). On the other hand, we note that a reliability level o β = 2 remains satisied with an increase o 6% o the mean load (that is with = 80.6 kn).

7 Hocine Dehmous, Moussa Karama and Hélène Welemane β σ (n) p act φ X i (%) re X i ig. 3: Evolution o reliability index β with respect to the mean value X i/x re i or each random variable X i. Regarding the eect o the standard deviation, igure 4 quantitatively highlights the inluence on the reliability o the uncertainties on variables. As expected, more (resp. less) the variables are reproducible, more reliability increases (resp. decreases). The tendency observed on igure 2(b) is also reinorced with a weak inluence o the scatter on manuacturing process parameters (, p act and ϕ). This indicates where to put the eort to get better reliable structures, namely on the ibre strength σ (n). or the same mean value as the reerence point, an highly reproducible σ (n) (with S X i 0) can increase the reliability index up to β = 4.4 (increase o 44%). The variability o the load plays also an important role on reliability, but the control over it is much more diicult, especially or civil engineering cases. Moreover, the evolution o β regarding the standard deviation o these two variables is o polynomial orm with a crossing o the curves at the reerence point: a better (resp. worse) reproducibility o σ (n) induces a greater increase (decrease) in β than the load. This conirms the main importance o the ibre strength in the composite perormance. β σ p act φ (n) S S X i re X i (%) ig. 4: Evolution o reliability index β with respect to the standard deviation S Xi /S re X i or each random variable X i.

8 Contribution o a micromechanics-based approach or reliability assessment (a) (b) ig. 5: Cross-analyses o the evolution o reliability index β with respect to the mean values o couple o parameters: (, p act) (a) and (σ (n), ) (b). The micromechanical-based study allows also to implement quantitative cross-analyses between random variables. This provides to engineers various combined solutions or design changes. We illustrate on the igure 5 the coupled study o manuacturing process parameters (namely the ibre content and active ibre raction) and material parameters (namely the ibre yield strength and ibre content). As shown o igure 5(a), the reliability index β can be improved to 3.5 either: by enhancing the ibre content (with = 68.5%) while keeping the present manuacturing process, or by keeping the ibre content and improving the manuacturing process (with p act = 100%). Regarding material eatures investigated on igure 5(b), same reliability improvement can be obtained either : with higher strength ibre (σ (n) = 5180 MPa) and a reduced ibre content ( = 64%), or with higher ibre content ( = 70%) and lower strength ibre (σ (n) = 4770 MPa). Obviously, such kind o cross-analysis can be done also on standard deviations o variables or even between mean value and deviation o dierent parameters according to the needs and possible actions o designers. 5 Conclusion The development o composite materials and composite structures requires a convenient consideration o the stochastic variability o the data entering their mechanical behaviour. The combination o reliability analysis and micromechanics allows to adress such issue. The use o classical and well-known rameworks (reliability methods and homogenization techniques) associated with the broad integration o uncertainties at dierent scales (micro to macro) and on various eatures (constituents properties, microstructural morphology, geometry, load) leads to a relevant tool or structural applications. This paper has illustrated some innovations provided by this approach or the reliability assessment o composite materials. Through various examples, we have investigated the consequences o design choices or composites in a probabilistic context. The quantitative description o dierent solutions at dierent scale or regarding dierent parameters such as manuacturing process, geometry, materials properties indicates which designs are qualiied to achieve a given reliability level and helps or the optimization o mechanical systems. rom this basic results, urther work will now be conducted in order to show others design applications provided by the approach, and especially to extend it at a structure scale through the global study o the Laroin ootbridge.

9 Hocine Dehmous, Moussa Karama and Hélène Welemane Acknowledgments Authors ully acknowledge the Toray Carbon ibers Europe company (ex Soicar, based in Abidos, rance) and reyssinet company (based in Vélizy Villacoublay, rance) or technical data and support regarding composite materials and Laroin ootbrige structure. Reerences [1] C. Baxevanakis, D. Jeulin, B. Lebon, and Renard J. racture statistics modeling o laminate composites. Int. J. Solids Structures, 35: , [2] Y. Benveniste. A new approach to the application o Mori-Tanaka s theory in composite materials. Mech. Mater., 6: , [3] M. Chiachio, J. Chiachio, and G. Rus. Reliability in composites - A selective review and survey o current development. Comp.: Part B, 43: , [4] H. Dehmous and H. Welemane. Multi-scale reliability analysis o composite structures - Application to the Laroin ootbridge. Eng. ail. Anal., 18: , [5] O. Ditlevsen and H. Madsen. Structural reliability analyses. Wiley & Sons, Chichester, [6] D.M. rangopol and S. Recek. Reliability o iber reinorced composite laminate plates. Prob. Eng Mech., 18: , [7] R.L. Geroy. La passerelle de Laroin. reyssinet Mag, 214, [8] P. Gilormini and Y. Bréchet. Syntheses: Mechanical properties o heterogeneous media: Which material or which model? Which model or which material? Model. Simul. Mater. Sci. Eng, 7: , [9] T. Haukaas and A. Der Kiureghian. ERUM user s guide. University o Caliornia, [10] M. Lemaire, A. Chateauneu, and J.-C. Mitteau. Structural reliability. ISTE Ltd, London, [11] P.. Liu and J.Y. Zheng. Strength reliability analysis o aluminium-carbon iber/epoxy composite laminates. Loss Prev. Proc. Ind., 23: , [12] T. Mori and K. Tanaka. Average stress in matrix and average elastic energy o materials with misitting inclusions. Acta Metal., 21: , [13] M.R. Motley and Y.L. Young. Inluence o uncertainties on the response and reliability o sel-adaptative composite rotors. Comp. Struct., 94: , [14] T.P. Philippidis and D.J. Lekou. Probabilistic ailure prediction or the RP composites. Comp. Sci. Tech., 58: , [15] A. Shaw, S. Sriramula, P.D. Gosling, and M.K. Chryssanthopoulos. A critical reliability evaluation o ibre reinorced composite materials based on probabilistic micro and macro-mechanical analysis. Comp.: Part B, 41: , [16] H. Welemane and H. Dehmous. Reliability analysis and micromechanics : a coupled approach or composite ailure prediction. Int. J. Mech. Sci., 53: , [17] A. Zaoui. Continuum micromechanics : survey. J. Eng Mech., 128: , 2002.

Finite Element Modeling of Residual Thermal Stresses in Fiber-Reinforced Composites Using Different Representative Volume Elements

Finite Element Modeling of Residual Thermal Stresses in Fiber-Reinforced Composites Using Different Representative Volume Elements Proceedings o the World Congress on Engineering 21 Vol II WCE 21, June 3 - July 2, 21, London, U.K. Finite Element Modeling o Residual Thermal Stresses in Fiber-Reinorced Composites Using Dierent Representative

More information

S. Srinivasan, Technip Offshore, Inc., Houston, TX

S. Srinivasan, Technip Offshore, Inc., Houston, TX 9 th ASCE Specialty Conerence on Probabilistic Mechanics and Structural Reliability PROBABILISTIC FAILURE PREDICTION OF FILAMENT-WOUND GLASS-FIBER Abstract REINFORCED COMPOSITE TUBES UNDER BIAXIAL LOADING

More information

Chapter 6 Reliability-based design and code developments

Chapter 6 Reliability-based design and code developments Chapter 6 Reliability-based design and code developments 6. General Reliability technology has become a powerul tool or the design engineer and is widely employed in practice. Structural reliability analysis

More information

Reliability of Axially Loaded Fiber-Reinforced-Polymer Confined Reinforced Concrete Circular Columns

Reliability of Axially Loaded Fiber-Reinforced-Polymer Confined Reinforced Concrete Circular Columns American J. o Engineering and Applied Sciences (1): 31-38, 009 ISSN 1941-700 009 Science Publications Reliability o Axially Loaded Fiber-Reinorced-Polymer Conined Reinorced Concrete Circular Columns Venkatarman

More information

MICROMECHANICAL FAILURE ANALYSIS OF UNIDIRECTIONAL FIBER-REINFORCED COMPOSITES UNDER IN-PLANE AND TRANSVERSE SHEAR

MICROMECHANICAL FAILURE ANALYSIS OF UNIDIRECTIONAL FIBER-REINFORCED COMPOSITES UNDER IN-PLANE AND TRANSVERSE SHEAR THE 19 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS MICROMECHANICAL FAILURE ANALYSIS OF UNIDIRECTIONAL FIBER-REINFORCED COMPOSITES UNDER IN-PLANE AND TRANSVERSE SHEAR Lei Yang*, Ying Yan, Zhiguo

More information

The achievable limits of operational modal analysis. * Siu-Kui Au 1)

The achievable limits of operational modal analysis. * Siu-Kui Au 1) The achievable limits o operational modal analysis * Siu-Kui Au 1) 1) Center or Engineering Dynamics and Institute or Risk and Uncertainty, University o Liverpool, Liverpool L69 3GH, United Kingdom 1)

More information

Bayesian Technique for Reducing Uncertainty in Fatigue Failure Model

Bayesian Technique for Reducing Uncertainty in Fatigue Failure Model 9IDM- Bayesian Technique or Reducing Uncertainty in Fatigue Failure Model Sriram Pattabhiraman and Nam H. Kim University o Florida, Gainesville, FL, 36 Copyright 8 SAE International ABSTRACT In this paper,

More information

The Application of Reliability Methods in the Design of Tophat Stiffened

The Application of Reliability Methods in the Design of Tophat Stiffened The Application o Reliability Methods in the Design o Tophat Stiened Composite Panels under In-plane Loading Yang N. (1)() & Das P. K., () (1) Harbin Engineering University, China ()University o Strathclyde,

More information

3.5 Analysis of Members under Flexure (Part IV)

3.5 Analysis of Members under Flexure (Part IV) 3.5 Analysis o Members under Flexure (Part IV) This section covers the ollowing topics. Analysis o a Flanged Section 3.5.1 Analysis o a Flanged Section Introduction A beam can have langes or lexural eiciency.

More information

A STUDY OF 0 -FIBRE MICROBUCKLING IN MULTIDIRECTIONAL COMPOSITE LAMINATES

A STUDY OF 0 -FIBRE MICROBUCKLING IN MULTIDIRECTIONAL COMPOSITE LAMINATES A STUDY OF -FIBRE MICROBUCKLING IN MULTIDIRECTIONAL COMPOSITE LAMINATES P. Berbinau and C. Soutis Department o Aeronautics, Imperial College o Science, Technology & Medicine Prince Consort Rd, London SW7

More information

Bond strength model for interfaces between nearsurface mounted (NSM) CFRP strips and concrete

Bond strength model for interfaces between nearsurface mounted (NSM) CFRP strips and concrete University o Wollongong Research Online Faculty o Engineering and Inormation Sciences - Papers: Part A Faculty o Engineering and Inormation Sciences 2014 Bond strength model or interaces between nearsurace

More information

BIOT COEFFICIENTS OF UNIDIRECTIONAL FIBRE PACKED ASSEMBLIES: EXPERIMENTAL AND THEORETICAL

BIOT COEFFICIENTS OF UNIDIRECTIONAL FIBRE PACKED ASSEMBLIES: EXPERIMENTAL AND THEORETICAL BIOT COEFFICIENTS OF UNIDIRECTIONAL FIBRE PACKED ASSEMBLIES: EXPERIMENTAL AND THEORETICAL Thang Tran, Sébastien Comas-Cardona,*, Nor-Edine Abria 2, Christophe Binétruy Polymers and Composites Technology

More information

Approximate probabilistic optimization using exact-capacity-approximate-response-distribution (ECARD)

Approximate probabilistic optimization using exact-capacity-approximate-response-distribution (ECARD) Struct Multidisc Optim (009 38:613 66 DOI 10.1007/s00158-008-0310-z RESEARCH PAPER Approximate probabilistic optimization using exact-capacity-approximate-response-distribution (ECARD Sunil Kumar Richard

More information

Characterization of Internal State Variable for fiber fracture in UD Composite

Characterization of Internal State Variable for fiber fracture in UD Composite Characterization o Internal State ariable or iber racture in UD Composite Modris Megnis,, Povl Brondsted 3, Sai A. Rehman 4, Tanveer Ahmad 5 Summary The continuum damage mechanics is used to describe the

More information

Fatigue verification of high loaded bolts of a rocket combustion chamber.

Fatigue verification of high loaded bolts of a rocket combustion chamber. Fatigue veriication o high loaded bolts o a rocket combustion chamber. Marcus Lehmann 1 & Dieter Hummel 1 1 Airbus Deence and Space, Munich Zusammenassung Rocket engines withstand intense thermal and structural

More information

Life Prediction Under Multiaxial Fatigue

Life Prediction Under Multiaxial Fatigue Lie Prediction Under Multiaxial Fatigue D. Ramesh and M.M. Mayuram Department o Mechanical Engineering Indian Institute o Technology, Madras Chennai-600 036 (India) e-mail: mayuram@iitm.ac.in ABSTRACT

More information

Design criteria for Fiber Reinforced Rubber Bearings

Design criteria for Fiber Reinforced Rubber Bearings Design criteria or Fiber Reinorced Rubber Bearings J. M. Kelly Earthquake Engineering Research Center University o Caliornia, Berkeley A. Calabrese & G. Serino Department o Structural Engineering University

More information

A study on the Accelerated Life Test Coupled with Computation for Life Prediction of Product According to Wear and Damage

A study on the Accelerated Life Test Coupled with Computation for Life Prediction of Product According to Wear and Damage International Journal o Mechanical & Mechatronics Engineering IJMME-IJENS Vol:15 No:03 106 A study on the Accelerated Lie Test Coupled with Computation or Lie Prediction o Product According to Wear and

More information

FATIGUE DURABILITY OF CONCRETE EXTERNALLY STRENGTHENED WITH FRP SHEETS

FATIGUE DURABILITY OF CONCRETE EXTERNALLY STRENGTHENED WITH FRP SHEETS FATIGUE DURABILITY OF CONCRETE EXTERNALLY STRENGTHENED WITH FRP SHEETS H. Diab () and Zhishen Wu () () Department o Urban and Civil Engineering, Ibaraki University, Japan Abstract A primary concern o the

More information

ON AN ESTIMATION OF THE DAMPING PROPERTIES OF WOVEN FABRIC COMPOSITES

ON AN ESTIMATION OF THE DAMPING PROPERTIES OF WOVEN FABRIC COMPOSITES ON AN ESTIMATION OF THE DAMPING PROPERTIES OF WOVEN FABRIC COMPOSITES Masaru Zao 1, Tetsusei Kurashii 1, Yasumasa Naanishi 2 and Kin ya Matsumoto 2 1 Department o Management o Industry and Technology,

More information

HYDROELASTIC TAILORING AND OPTIMIZATION OF A COMPOSITE MARINE PROPELLER

HYDROELASTIC TAILORING AND OPTIMIZATION OF A COMPOSITE MARINE PROPELLER HYDROELASTIC TAILORING AND OPTIMIZATION OF A COMPOSITE MARINE PROPELLER José P. Blasques, Christian Berggreen and Poul Andersen Department o Mechanical Engineering, Technical University o Denmark Nils

More information

INPUT GROUND MOTION SELECTION FOR XIAOWAN HIGH ARCH DAM

INPUT GROUND MOTION SELECTION FOR XIAOWAN HIGH ARCH DAM 3 th World Conerence on Earthquake Engineering Vancouver, B.C., Canada August -6, 24 Paper No. 2633 INPUT GROUND MOTION LECTION FOR XIAOWAN HIGH ARCH DAM CHEN HOUQUN, LI MIN 2, ZHANG BAIYAN 3 SUMMARY In

More information

Manufacturing Remaining Stresses in Truck Frame Rail's Fatigue Life Prediction

Manufacturing Remaining Stresses in Truck Frame Rail's Fatigue Life Prediction Manuacturing Remaining Stresses in Truck Frame Rail's Fatigue Lie Prediction Claudiomar C. Cunha & Carlos A. N. Dias MSX International & Department o Naval Engineering EPUSP/USP/Brazil Department o Mechanical

More information

RELIABILITY OF BURIED PIPELINES WITH CORROSION DEFECTS UNDER VARYING BOUNDARY CONDITIONS

RELIABILITY OF BURIED PIPELINES WITH CORROSION DEFECTS UNDER VARYING BOUNDARY CONDITIONS REIABIITY OF BURIE PIPEIES WITH CORROSIO EFECTS UER VARYIG BOUARY COITIOS Ouk-Sub ee 1 and ong-hyeok Kim 1. School o Mechanical Engineering, InHa University #53, Yonghyun-ong, am-ku, Incheon, 40-751, Korea

More information

This is an author-deposited version published in: Eprints ID: 8849

This is an author-deposited version published in:   Eprints ID: 8849 Open Archive Toulouse Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited

More information

Size Effect on Strength of Bimaterial Joints: Computational Approach versus Analysis and Experiment

Size Effect on Strength of Bimaterial Joints: Computational Approach versus Analysis and Experiment Proc. (CD), 12th Intern. Con. on Fracture (ICF-12) (held in Ottawa, Canada, July 2009), Robert Bell, ed., Carleton University, pp. 1 10. Size Eect on Strength o Bimaterial Joints: Computational Approach

More information

Fluctuationlessness Theorem and its Application to Boundary Value Problems of ODEs

Fluctuationlessness Theorem and its Application to Boundary Value Problems of ODEs Fluctuationlessness Theorem and its Application to Boundary Value Problems o ODEs NEJLA ALTAY İstanbul Technical University Inormatics Institute Maslak, 34469, İstanbul TÜRKİYE TURKEY) nejla@be.itu.edu.tr

More information

AN EXPERIMENTAL AND NUMERICAL STUDY OF THE INFLUENCE OF LOCAL EFFECTS ON THE APPLICATION OF THE FIBRE PUSH-IN TESTS.

AN EXPERIMENTAL AND NUMERICAL STUDY OF THE INFLUENCE OF LOCAL EFFECTS ON THE APPLICATION OF THE FIBRE PUSH-IN TESTS. AN EXPERIMENTAL AND NUMERICAL STUDY OF THE INFLUENCE OF LOCAL EFFECTS ON THE APPLICATION OF THE FIBRE PUSH-IN TESTS. Jon M. Molina-Aldareguía 1, M. Rodríguez 1, C. González 1, and J.LLorca 1, 1 Madrid

More information

NUMERICAL ASSESSMENT OF REINFORCED CONCRETE MEMBERS RETROFITTED WITH FIBER REINFORCED POLYMER FOR RESISTING BLAST LOADING

NUMERICAL ASSESSMENT OF REINFORCED CONCRETE MEMBERS RETROFITTED WITH FIBER REINFORCED POLYMER FOR RESISTING BLAST LOADING NUMERICAL ASSESSMENT OF REINFORCED CONCRETE MEMBERS RETROFITTED WITH FIBER REINFORCED POLYMER FOR RESISTING BLAST LOADING By GRAHAM LONG A THESIS PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA

More information

Studies on effective fiber and matrix poling characteristics of 1-3 piezoelectric composites

Studies on effective fiber and matrix poling characteristics of 1-3 piezoelectric composites INTERNATIONAL JOURNAL OF STRUCTURAL CHANGES IN SOLIDS Mechanics and Applications Volume 3, Number 3, 211, pp. 1-19 Studies on eective iber and matrix poling characteristics o 1-3 piezoelectric composites

More information

SOME RESEARCH ON FINITE ELEMENT ANALYSIS OF COMPOSITE MATERIALS

SOME RESEARCH ON FINITE ELEMENT ANALYSIS OF COMPOSITE MATERIALS The 3 rd International Conerence on DIAGNOSIS AND PREDICTION IN MECHANICAL ENGINEERING SYSTEMS DIPRE 12 SOME RESEARCH ON FINITE ELEMENT ANALYSIS OF Valeriu DULGHERU, Viorel BOSTAN, Marin GUŢU Technical

More information

Calibration of Bond Coefficient for Deflection Control of FRP RC Members

Calibration of Bond Coefficient for Deflection Control of FRP RC Members Fourth International Conerence on FRP Composites in Civil Engineering (CICE008) -4July 008, Zurich, Switzerland Calibration o Bond Coeicient or Delection Control o FRP RC Members R. Fico, A. Prota & G.

More information

Behavior of RC Columns Confined with CFRP Sheets and Subjected to Eccentric Loading

Behavior of RC Columns Confined with CFRP Sheets and Subjected to Eccentric Loading Lie Science Journal 2018;15(6) http:www.liesciencesite.com Behavior o RC Columns Conined with CFRP Sheets and Subjected to Eentric Loading Omar A. Farghal 1 and Mamdouh A. Kenawi 2 1 Civil Engineering

More information

WELDED ALUMINUM ALLOY PLATE GIRDERS SUBJECTED TO SHEAR FORCE

WELDED ALUMINUM ALLOY PLATE GIRDERS SUBJECTED TO SHEAR FORCE Advanced Steel Construction Vol. 8, No. 1, pp. 71-94 (2012) 71 WELDED ALUMINUM ALLOY PLATE GIRDERS SUBJECTED TO SHEAR FORCE Feng Zhou 1a, 1b, Ben Young 2,* and Hin-Chung Lam 3 1a Department o Building

More information

Reliability assessment on maximum crack width of GFRPreinforced

Reliability assessment on maximum crack width of GFRPreinforced Fourth International Conerence on FRP Composites in Civil Engineering (CICE2008) 22-24July 2008, Zurich, Switzerland Reliability assessment on maximum crack width o GFRPreinorced concrete beams Z. He and

More information

AXIALLY LOADED FRP CONFINED REINFORCED CONCRETE CROSS-SECTIONS

AXIALLY LOADED FRP CONFINED REINFORCED CONCRETE CROSS-SECTIONS AXIALLY LOADED FRP CONFINED REINFORCED CONCRETE CROSS-SECTIONS Bernát Csuka Budapest University o Technology and Economics Department o Mechanics Materials and Structures Supervisor: László P. Kollár 1.

More information

Reliability-Based Load and Resistance Factor Design (LRFD) Guidelines for Stiffened Panels and Grillages of Ship Structures

Reliability-Based Load and Resistance Factor Design (LRFD) Guidelines for Stiffened Panels and Grillages of Ship Structures Reliability-Based Load and Resistance actor Design (LRD) Guidelines or Stiened Panels and Grillages o Ship Structures Ibrahim A. Assakka 1, Bilal M. Ayyub 2, Paul E. Hess, III, 3 and Khaled Atua 4 ABSTRACT

More information

ROBUST STABILITY AND PERFORMANCE ANALYSIS OF UNSTABLE PROCESS WITH DEAD TIME USING Mu SYNTHESIS

ROBUST STABILITY AND PERFORMANCE ANALYSIS OF UNSTABLE PROCESS WITH DEAD TIME USING Mu SYNTHESIS ROBUST STABILITY AND PERFORMANCE ANALYSIS OF UNSTABLE PROCESS WITH DEAD TIME USING Mu SYNTHESIS I. Thirunavukkarasu 1, V. I. George 1, G. Saravana Kumar 1 and A. Ramakalyan 2 1 Department o Instrumentation

More information

Keywords: creep, damage, finite element analysis, FSRF, low-cycle fatigue, type 316 steel, weldment

Keywords: creep, damage, finite element analysis, FSRF, low-cycle fatigue, type 316 steel, weldment --- 1 --- Application o the linear matching method to eep-atigue ailure analysis o uciorm weldment manuactured o the austenitic steel AISI type 316N(L) Yevgen Gorash and Haoeng Chen Department o Mechanical

More information

PLY LEVEL UNCERTAINTY EFFECTS ON FAILURE OF COMPOSITE

PLY LEVEL UNCERTAINTY EFFECTS ON FAILURE OF COMPOSITE 7th European Workshop on Structural Health Monitoring July 8-11, 2014. La Cité, Nantes, France More Info at Open Access Database www.ndt.net/?id=17206 PLY LEVEL UNCERTAINTY EFFECTS ON FAILURE OF COMPOSITE

More information

Objectives. By the time the student is finished with this section of the workbook, he/she should be able

Objectives. By the time the student is finished with this section of the workbook, he/she should be able FUNCTIONS Quadratic Functions......8 Absolute Value Functions.....48 Translations o Functions..57 Radical Functions...61 Eponential Functions...7 Logarithmic Functions......8 Cubic Functions......91 Piece-Wise

More information

Analysis of Friction-Induced Vibration Leading to Eek Noise in a Dry Friction Clutch. Abstract

Analysis of Friction-Induced Vibration Leading to Eek Noise in a Dry Friction Clutch. Abstract The 22 International Congress and Exposition on Noise Control Engineering Dearborn, MI, USA. August 19-21, 22 Analysis o Friction-Induced Vibration Leading to Eek Noise in a Dry Friction Clutch P. Wickramarachi

More information

MICROMECHANICS OF COMPOSITES WITH INTEGRATED SHEAR THICKENING FLUIDS

MICROMECHANICS OF COMPOSITES WITH INTEGRATED SHEAR THICKENING FLUIDS MICROMECHANICS OF COMPOSITES WITH INTEGRATED SHEAR THICKENING FLUIDS R. Cristian Neagu, Christian Fischer, Pierre-Etienne Bourban, and Jan-Anders E. Månson Laboratoire de Technologie des Composites et

More information

Numerical Simulation of the Behavior of Cracked Reinforced Concrete Members

Numerical Simulation of the Behavior of Cracked Reinforced Concrete Members Materials Sciences and Applications, 2014, 5, 883-894 Published Online October 2014 in SciRes. http://www.scirp.org/journal/msa http://dx.doi.org/10.4236/msa.2014.512090 Numerical Simulation o the Behavior

More information

AH 2700A. Attenuator Pair Ratio for C vs Frequency. Option-E 50 Hz-20 khz Ultra-precision Capacitance/Loss Bridge

AH 2700A. Attenuator Pair Ratio for C vs Frequency. Option-E 50 Hz-20 khz Ultra-precision Capacitance/Loss Bridge 0 E ttenuator Pair Ratio or vs requency NEEN-ERLN 700 Option-E 0-0 k Ultra-precision apacitance/loss ridge ttenuator Ratio Pair Uncertainty o in ppm or ll Usable Pairs o Taps 0 0 0. 0. 0. 07/08/0 E E E

More information

Gecko and many insects (Fig. 1) have evolved fibrillar structures

Gecko and many insects (Fig. 1) have evolved fibrillar structures Shape insensitive optimal adhesion o nanoscale ibrillar structures Huajian Gao* and Haimin Yao Max Planck Institute or Metals Research, Heisenbergstrasse 3, D-70569 Stuttgart, Germany Edited by Jan D.

More information

CHAPTER 8 ANALYSIS OF AVERAGE SQUARED DIFFERENCE SURFACES

CHAPTER 8 ANALYSIS OF AVERAGE SQUARED DIFFERENCE SURFACES CAPTER 8 ANALYSS O AVERAGE SQUARED DERENCE SURACES n Chapters 5, 6, and 7, the Spectral it algorithm was used to estimate both scatterer size and total attenuation rom the backscattered waveorms by minimizing

More information

FILM STACKING IMPREGNATION MODEL FOR THERMOPLASTIC COMPOSITES APPLIED TO A NOVEL NET-SHAPE PREFORMING PROCESS

FILM STACKING IMPREGNATION MODEL FOR THERMOPLASTIC COMPOSITES APPLIED TO A NOVEL NET-SHAPE PREFORMING PROCESS The 8 th International Conerence on Flow Processes in Composite Materials (FPCM8) FILM STACKING IMPREGNATION MODEL FOR THERMOPLASTIC COMPOSITES APPLIED TO A NOVEL NET-SHAPE PREFORMING PROCESS S.T.Jespersen

More information

APPLICATION OF A CONDITIONAL EXPECTATION RESPONSE SURFACE APPROACH TO PROBABILISTIC FATIGUE

APPLICATION OF A CONDITIONAL EXPECTATION RESPONSE SURFACE APPROACH TO PROBABILISTIC FATIGUE 9 th ASCE Specialty Conerence on Probabilistic Mechanics and Structural Reliability APPLICATION OF A CONDITIONAL EXPECTATION RESPONSE SURFACE APPROACH TO PROBABILISTIC FATIGUE Abstract F.N. Momin, H.R.

More information

The concept of limit

The concept of limit Roberto s Notes on Dierential Calculus Chapter 1: Limits and continuity Section 1 The concept o limit What you need to know already: All basic concepts about unctions. What you can learn here: What limits

More information

OBSERVER/KALMAN AND SUBSPACE IDENTIFICATION OF THE UBC BENCHMARK STRUCTURAL MODEL

OBSERVER/KALMAN AND SUBSPACE IDENTIFICATION OF THE UBC BENCHMARK STRUCTURAL MODEL OBSERVER/KALMAN AND SUBSPACE IDENTIFICATION OF THE UBC BENCHMARK STRUCTURAL MODEL Dionisio Bernal, Burcu Gunes Associate Proessor, Graduate Student Department o Civil and Environmental Engineering, 7 Snell

More information

RESOLUTION MSC.362(92) (Adopted on 14 June 2013) REVISED RECOMMENDATION ON A STANDARD METHOD FOR EVALUATING CROSS-FLOODING ARRANGEMENTS

RESOLUTION MSC.362(92) (Adopted on 14 June 2013) REVISED RECOMMENDATION ON A STANDARD METHOD FOR EVALUATING CROSS-FLOODING ARRANGEMENTS (Adopted on 4 June 203) (Adopted on 4 June 203) ANNEX 8 (Adopted on 4 June 203) MSC 92/26/Add. Annex 8, page THE MARITIME SAFETY COMMITTEE, RECALLING Article 28(b) o the Convention on the International

More information

Application of Mathematica Software for Estimate the Fatigue Life Time Duration of Mechanical System

Application of Mathematica Software for Estimate the Fatigue Life Time Duration of Mechanical System ANALELE UNIVERSITĂłII EFTIMIE MURGU REŞIłA ANUL XVII, NR. 2, 2010, ISSN 1453-7397 Petru Florin Minda, Ana Maria Budai Application o Mathematica Sotware or Estimate the Fatigue Lie Time Duration o Mechanical

More information

Micro-canonical ensemble model of particles obeying Bose-Einstein and Fermi-Dirac statistics

Micro-canonical ensemble model of particles obeying Bose-Einstein and Fermi-Dirac statistics Indian Journal o Pure & Applied Physics Vol. 4, October 004, pp. 749-757 Micro-canonical ensemble model o particles obeying Bose-Einstein and Fermi-Dirac statistics Y K Ayodo, K M Khanna & T W Sakwa Department

More information

Using ABAQUS for reliability analysis by directional simulation

Using ABAQUS for reliability analysis by directional simulation Visit the SIMULIA Resource Center or more customer examples. Using ABAQUS or reliability analysis by directional simulation I. R. Iversen and R. C. Bell Prospect, www.prospect-s.com Abstract: Monte Carlo

More information

( x) f = where P and Q are polynomials.

( x) f = where P and Q are polynomials. 9.8 Graphing Rational Functions Lets begin with a deinition. Deinition: Rational Function A rational unction is a unction o the orm ( ) ( ) ( ) P where P and Q are polynomials. Q An eample o a simple rational

More information

9.1 The Square Root Function

9.1 The Square Root Function Section 9.1 The Square Root Function 869 9.1 The Square Root Function In this section we turn our attention to the square root unction, the unction deined b the equation () =. (1) We begin the section

More information

Scattering of Solitons of Modified KdV Equation with Self-consistent Sources

Scattering of Solitons of Modified KdV Equation with Self-consistent Sources Commun. Theor. Phys. Beijing, China 49 8 pp. 89 84 c Chinese Physical Society Vol. 49, No. 4, April 5, 8 Scattering o Solitons o Modiied KdV Equation with Sel-consistent Sources ZHANG Da-Jun and WU Hua

More information

2. ETA EVALUATIONS USING WEBER FUNCTIONS. Introduction

2. ETA EVALUATIONS USING WEBER FUNCTIONS. Introduction . ETA EVALUATIONS USING WEBER FUNCTIONS Introduction So ar we have seen some o the methods or providing eta evaluations that appear in the literature and we have seen some o the interesting properties

More information

Robust Residual Selection for Fault Detection

Robust Residual Selection for Fault Detection Robust Residual Selection or Fault Detection Hamed Khorasgani*, Daniel E Jung**, Gautam Biswas*, Erik Frisk**, and Mattias Krysander** Abstract A number o residual generation methods have been developed

More information

Autoclave Cure Simulation of Composite Structures Applying Implicit and Explicit FE

Autoclave Cure Simulation of Composite Structures Applying Implicit and Explicit FE Autoclave Cure Simulation o Composite Structures Applying Implicit and Explicit FE Abdelal, G. F., Robotham, A., & Cantwell, W. (2013). Autoclave Cure Simulation o Composite Structures Applying Implicit

More information

SEPARATED AND PROPER MORPHISMS

SEPARATED AND PROPER MORPHISMS SEPARATED AND PROPER MORPHISMS BRIAN OSSERMAN The notions o separatedness and properness are the algebraic geometry analogues o the Hausdor condition and compactness in topology. For varieties over the

More information

Scattered Data Approximation of Noisy Data via Iterated Moving Least Squares

Scattered Data Approximation of Noisy Data via Iterated Moving Least Squares Scattered Data Approximation o Noisy Data via Iterated Moving Least Squares Gregory E. Fasshauer and Jack G. Zhang Abstract. In this paper we ocus on two methods or multivariate approximation problems

More information

Analysis of aircraft trajectory uncertainty using Ensemble Weather Forecasts

Analysis of aircraft trajectory uncertainty using Ensemble Weather Forecasts DOI: 10.13009/EUCASS017-59 7 TH EUROPEAN CONERENCE OR AERONAUTICS AND SPACE SCIENCES (EUCASS Analysis o aircrat traectory uncertainty using Ensemble Weather orecasts Damián Rivas, Antonio ranco, and Alonso

More information

CHAPTER 1: INTRODUCTION. 1.1 Inverse Theory: What It Is and What It Does

CHAPTER 1: INTRODUCTION. 1.1 Inverse Theory: What It Is and What It Does Geosciences 567: CHAPTER (RR/GZ) CHAPTER : INTRODUCTION Inverse Theory: What It Is and What It Does Inverse theory, at least as I choose to deine it, is the ine art o estimating model parameters rom data

More information

Behavior and Design of Angle Column

Behavior and Design of Angle Column Behavior and Design o Angle Column Ricardo Junqueira Justiniano Instituo Superior Técnico, Universidade de Lisboa Abstract This thesis presents a study on the behavior and design o short to medium single

More information

Educational Procedure for Designing and Teaching Reflector Antennas in Electrical Engineering Programs. Abstract. Introduction

Educational Procedure for Designing and Teaching Reflector Antennas in Electrical Engineering Programs. Abstract. Introduction Educational Procedure or Designing and Teaching Relector Antennas in Electrical Engineering Programs Marco A.B. Terada Klipsch School o Electrical and Computer Engineering New Mexico State University Las

More information

A fatigue driving energy approach to high-cycle fatigue life estimation under variable amplitude loading

A fatigue driving energy approach to high-cycle fatigue life estimation under variable amplitude loading ORIGINL CONTRIBUTION doi: 0./e.2347 atigue driving energy approach to high-cycle atigue lie estimation under variable amplitude loading Z. PENG, H-Z. HUNG, S-P. ZHU, H. GO and Z. LV Institute o Reliability

More information

Available online at ScienceDirect. Transportation Research Procedia 14 (2016 )

Available online at   ScienceDirect. Transportation Research Procedia 14 (2016 ) Available online at www.sciencedirect.com ScienceDirect Transportation Research Procedia 14 (016 ) 411 40 6th Transport Research Arena April 18-1, 016 Resistance o reinorced concrete columns subjected

More information

NONPARAMETRIC PREDICTIVE INFERENCE FOR REPRODUCIBILITY OF TWO BASIC TESTS BASED ON ORDER STATISTICS

NONPARAMETRIC PREDICTIVE INFERENCE FOR REPRODUCIBILITY OF TWO BASIC TESTS BASED ON ORDER STATISTICS REVSTAT Statistical Journal Volume 16, Number 2, April 2018, 167 185 NONPARAMETRIC PREDICTIVE INFERENCE FOR REPRODUCIBILITY OF TWO BASIC TESTS BASED ON ORDER STATISTICS Authors: Frank P.A. Coolen Department

More information

MESO-STRUCTURAL BEHAVIOUR OF COMPOSITE FABRIC FOR THE SIMULATION OF MANUFACTURING OF THIN COMPOSITE BY SHAPING PROCESS

MESO-STRUCTURAL BEHAVIOUR OF COMPOSITE FABRIC FOR THE SIMULATION OF MANUFACTURING OF THIN COMPOSITE BY SHAPING PROCESS MESO-STRUCTURA BEHAVIOUR OF COMPOSITE FABRIC FOR THE SIMUATION OF MANUFACTURING OF THIN COMPOSITE BY SHAPING PROCESS J.. BIOËT 1 and A. CHEROUAT 1,2 1 M2S secteur ENSAM o Paris 151 Boulevard de l'hôpital

More information

VALUATIVE CRITERIA BRIAN OSSERMAN

VALUATIVE CRITERIA BRIAN OSSERMAN VALUATIVE CRITERIA BRIAN OSSERMAN Intuitively, one can think o separatedness as (a relative version o) uniqueness o limits, and properness as (a relative version o) existence o (unique) limits. It is not

More information

Professor, Institute of Engineering Mechanics, Harbin. China 2. Ph.D Student, Institute of Engineering Mechanics, Harbin. China 3

Professor, Institute of Engineering Mechanics, Harbin. China 2. Ph.D Student, Institute of Engineering Mechanics, Harbin. China 3 The 14 th World Conerence on Earthquake Engineering COMPARISON OF FRP-RETROFITTING STRATEGIES IN CHINESE AND ITALIAN CODES J. W. DAI 1, Y.R. WANG 2, B. JIN 1, 3, D.F.ZU 4, Silvia Alessandri 5, Giorgio

More information

An Alternative Poincaré Section for Steady-State Responses and Bifurcations of a Duffing-Van der Pol Oscillator

An Alternative Poincaré Section for Steady-State Responses and Bifurcations of a Duffing-Van der Pol Oscillator An Alternative Poincaré Section or Steady-State Responses and Biurcations o a Duing-Van der Pol Oscillator Jang-Der Jeng, Yuan Kang *, Yeon-Pun Chang Department o Mechanical Engineering, National United

More information

Module 2 Selection of Materials and Shapes. IIT, Bombay

Module 2 Selection of Materials and Shapes. IIT, Bombay Module Selection o Materials and Shapes Lecture Selection o Materials - I Instructional objectives By the end o this lecture, the student will learn (a) what is a material index and how does it help in

More information

OPTIMAL PLACEMENT AND UTILIZATION OF PHASOR MEASUREMENTS FOR STATE ESTIMATION

OPTIMAL PLACEMENT AND UTILIZATION OF PHASOR MEASUREMENTS FOR STATE ESTIMATION OPTIMAL PLACEMENT AND UTILIZATION OF PHASOR MEASUREMENTS FOR STATE ESTIMATION Xu Bei, Yeo Jun Yoon and Ali Abur Teas A&M University College Station, Teas, U.S.A. abur@ee.tamu.edu Abstract This paper presents

More information

Probabilistic Model of Error in Fixed-Point Arithmetic Gaussian Pyramid

Probabilistic Model of Error in Fixed-Point Arithmetic Gaussian Pyramid Probabilistic Model o Error in Fixed-Point Arithmetic Gaussian Pyramid Antoine Méler John A. Ruiz-Hernandez James L. Crowley INRIA Grenoble - Rhône-Alpes 655 avenue de l Europe 38 334 Saint Ismier Cedex

More information

Interatomic potentials for monoatomic metals from experimental data and ab initio calculations

Interatomic potentials for monoatomic metals from experimental data and ab initio calculations PHYSICAL REVIEW B VOLUME 59, NUMBER 5 1 FEBRUARY 1999-I Interatomic potentials or monoatomic metals rom experimental data and ab initio calculations Y. Mishin and D. Farkas Department o Materials Science

More information

Notched Strength Estimation of Graphite/Epoxy Laminated Composite with Central Crack under Uniaxial Tensile Loading

Notched Strength Estimation of Graphite/Epoxy Laminated Composite with Central Crack under Uniaxial Tensile Loading International Journal o Composite Materials 5, 5(6): 77-8 DOI:.593/j.cmaterials.556.6 Notched Strength Estimation o Graphite/Epoxy Laminated Composite with Central Crack under Uniaxial Tensile Loading

More information

Fiber / Toughened Epoxy Composites under

Fiber / Toughened Epoxy Composites under Fatigue Behavior o Impact-Damaged Carbon Fiber / Toughened Epoxy Composites under Compressive loading Toshio Ogasawara, Hisaya Katoh, unao ugimoto, and Takashi Ishikawa Advanced d Composite Technology

More information

Reliability assessment using probabilistic support vector machines. Anirban Basudhar and Samy Missoum*

Reliability assessment using probabilistic support vector machines. Anirban Basudhar and Samy Missoum* 156 Int. J. Reliability and Saety, Vol. 7, o. 2, 2013 Reliability assessment using probabilistic support vector machines Anirban Basudhar and Samy Missoum* Aerospace and Mechanical Engineering Department,

More information

Probabilistic Engineering Mechanics

Probabilistic Engineering Mechanics Probabilistic Engineering Mechanics 6 (11) 174 181 Contents lists available at ScienceDirect Probabilistic Engineering Mechanics journal homepage: www.elsevier.com/locate/probengmech Variability response

More information

arxiv:quant-ph/ v2 12 Jan 2006

arxiv:quant-ph/ v2 12 Jan 2006 Quantum Inormation and Computation, Vol., No. (25) c Rinton Press A low-map model or analyzing pseudothresholds in ault-tolerant quantum computing arxiv:quant-ph/58176v2 12 Jan 26 Krysta M. Svore Columbia

More information

Roberto s Notes on Differential Calculus Chapter 8: Graphical analysis Section 1. Extreme points

Roberto s Notes on Differential Calculus Chapter 8: Graphical analysis Section 1. Extreme points Roberto s Notes on Dierential Calculus Chapter 8: Graphical analysis Section 1 Extreme points What you need to know already: How to solve basic algebraic and trigonometric equations. All basic techniques

More information

VALUATIVE CRITERIA FOR SEPARATED AND PROPER MORPHISMS

VALUATIVE CRITERIA FOR SEPARATED AND PROPER MORPHISMS VALUATIVE CRITERIA FOR SEPARATED AND PROPER MORPHISMS BRIAN OSSERMAN Recall that or prevarieties, we had criteria or being a variety or or being complete in terms o existence and uniqueness o limits, where

More information

Complexity and Algorithms for Two-Stage Flexible Flowshop Scheduling with Availability Constraints

Complexity and Algorithms for Two-Stage Flexible Flowshop Scheduling with Availability Constraints Complexity and Algorithms or Two-Stage Flexible Flowshop Scheduling with Availability Constraints Jinxing Xie, Xijun Wang Department o Mathematical Sciences, Tsinghua University, Beijing 100084, China

More information

AXIALLY LOADED FRP CONFINED REINFORCED CONCRETE CROSS-SECTIONS

AXIALLY LOADED FRP CONFINED REINFORCED CONCRETE CROSS-SECTIONS AXIALLY LOADED FRP CONFINED REINFORCED CONCRETE CROSS-SECTIONS PhD Thesis by Bernát Csuka Budapest University o Technology and Economics Department o Mechanics Materials and Structures Supervisor: László

More information

Bolted Joints Analysis Methods and Evaluation

Bolted Joints Analysis Methods and Evaluation International OPEN ACCESS Journal O Modern Engineering Research (IJMER) Bolted Joints Analysis Methods and Evaluation G. Chaitanya 1, M. Kumara Swamy 2 1 Mechanical engineering, UCEK (A)/Jawaharlal Nehru

More information

Supplementary Information Reconstructing propagation networks with temporal similarity

Supplementary Information Reconstructing propagation networks with temporal similarity Supplementary Inormation Reconstructing propagation networks with temporal similarity Hao Liao and An Zeng I. SI NOTES A. Special range. The special range is actually due to two reasons: the similarity

More information

CONVECTIVE HEAT TRANSFER CHARACTERISTICS OF NANOFLUIDS. Convective heat transfer analysis of nanofluid flowing inside a

CONVECTIVE HEAT TRANSFER CHARACTERISTICS OF NANOFLUIDS. Convective heat transfer analysis of nanofluid flowing inside a Chapter 4 CONVECTIVE HEAT TRANSFER CHARACTERISTICS OF NANOFLUIDS Convective heat transer analysis o nanoluid lowing inside a straight tube o circular cross-section under laminar and turbulent conditions

More information

Internal thermal noise in the LIGO test masses: A direct approach

Internal thermal noise in the LIGO test masses: A direct approach PHYSICAL EVIEW D VOLUME 57, NUMBE 2 15 JANUAY 1998 Internal thermal noise in the LIGO test masses: A direct approach Yu. Levin Theoretical Astrophysics, Caliornia Institute o Technology, Pasadena, Caliornia

More information

SEPARATED AND PROPER MORPHISMS

SEPARATED AND PROPER MORPHISMS SEPARATED AND PROPER MORPHISMS BRIAN OSSERMAN Last quarter, we introduced the closed diagonal condition or a prevariety to be a prevariety, and the universally closed condition or a variety to be complete.

More information

The Ascent Trajectory Optimization of Two-Stage-To-Orbit Aerospace Plane Based on Pseudospectral Method

The Ascent Trajectory Optimization of Two-Stage-To-Orbit Aerospace Plane Based on Pseudospectral Method Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 00 (014) 000 000 www.elsevier.com/locate/procedia APISAT014, 014 Asia-Paciic International Symposium on Aerospace Technology,

More information

Plastic mechanism analysis of CHS stub columns strengthened using CFRP

Plastic mechanism analysis of CHS stub columns strengthened using CFRP Plastic mechanism analis o CHS stub columns strengthened using CFRP M. Elchalakani School o rchitectural, Civil and Mechanical Engineering, Victoria University, Melbourne, ustralia M.R. Bambach Department

More information

Math 754 Chapter III: Fiber bundles. Classifying spaces. Applications

Math 754 Chapter III: Fiber bundles. Classifying spaces. Applications Math 754 Chapter III: Fiber bundles. Classiying spaces. Applications Laurențiu Maxim Department o Mathematics University o Wisconsin maxim@math.wisc.edu April 18, 2018 Contents 1 Fiber bundles 2 2 Principle

More information

Finite element modeling incorporating nonlinearity of material behavior based on the fib Model Code 2010

Finite element modeling incorporating nonlinearity of material behavior based on the fib Model Code 2010 Peer-reviewed & Open access journal www.academicpublishingplatorms.com Finite element modeling incorporating non-linearity o material behavior ATI - Applied Technologies & Innovations Volume 5 Issue November

More information

A Method for Assimilating Lagrangian Data into a Shallow-Water-Equation Ocean Model

A Method for Assimilating Lagrangian Data into a Shallow-Water-Equation Ocean Model APRIL 2006 S A L M A N E T A L. 1081 A Method or Assimilating Lagrangian Data into a Shallow-Water-Equation Ocean Model H. SALMAN, L.KUZNETSOV, AND C. K. R. T. JONES Department o Mathematics, University

More information

Reliability Assessment with Correlated Variables using Support Vector Machines

Reliability Assessment with Correlated Variables using Support Vector Machines Reliability Assessment with Correlated Variables using Support Vector Machines Peng Jiang, Anirban Basudhar, and Samy Missoum Aerospace and Mechanical Engineering Department, University o Arizona, Tucson,

More information

Failure Diagrams of FRP Strengthened RC Beams

Failure Diagrams of FRP Strengthened RC Beams Failure Diagrams o FRP Strengthened RC Beams Abstract Bo GAO a, Christopher K. Y. LEUNG b and Jang-Kyo KIM a* a Department o Mechanical Engineering and b Department o Civil Engineering Hong Kong University

More information

Burst strength behaviour of an aging subsea gas pipeline elbow in different external and internal corrosion-damaged positions

Burst strength behaviour of an aging subsea gas pipeline elbow in different external and internal corrosion-damaged positions csnak, 2015 Int. J. Nav. Archit. Ocean Eng. (2015) 7:435~451 http://dx.doi.org/10.1515/ijnaoe-2015-0031 pissn: 2092-6782, eissn: 2092-6790 Burst strength behaviour o an aging subsea gas pipeline elbow

More information