Chapter 2  Macromechanical Analysis of a Lamina. Exercise Set. 2.1 The number of independent elastic constants in three dimensions are: 2.


 Kelly Melton
 1 years ago
 Views:
Transcription
1 Chapter  Macromechanical Analysis of a Lamina Exercise Set. The number of independent elastic constants in three dimensions are: Anisotropic Monoclinic 3 Orthotropic 9 Transversely Orthotropic 5 Isotropic C Msi S Msi a) σ 8.69 σ 6.73 σ 3 τ kpa τ 3 τ 9 b) Compliance matrix 
2 S GPa c) E GPa E GPa E GPa ν ν ν G 4 GPa G 3 GPa d) G 3.5 GPa W Pa. S GPa Q GPa ε ε γ µm m
3 . Modifying Equation (.7) for an isotropic lamina under plane stress  G Inverting the compliance matrix gives the reduced stiffness matrix  E E. ν ν ν S Q E ν E. E ν ν E E ν E ν G.3 Compliance matrix for a two dimensional orthotropic material per Equations (.87)  ν E E S ν E E Matrix inversion yields  G. E ν. ν ν. E ν. ν Q ν. E ν. ν. E ν. ν G Compliance matrix for three dimensional orthotropic material per Equation (.7) 
4 E ν E ν 3 E ν E E ν 3 E S ν 3 E 3 ν 3 E 3 E 3 G 3 G 3 G Matrix inversion yields  ν. 3 ν 3 C. E ν. 3 ν. 3 ν ν.. ν ν 3 ν.. 3 ν 3 ν ν. 3 ν 3 ν 3 C 66 G Proving Q C and Q 66 C E Msi, E.99 Msi ν.6 G.66 Msi.6 σ 9.9 σ 5.98 MPa τ ε ε γ µin in.8
5 Q GPa S GPa.9 S S S S S S S 6 S 6 S 66 S 66 The values of c and s are interchanged for and 9 laminas. The values of S and S are interchanged also since the local axes for the lamina are rotated 9.. A) ε x ε y γ xy µm m σ 9.8 σ 6.98 MPa τ 6.34 ε ε γ µm m c) Principal normal stresses produced by applied global stresses  σ max σ x σ y σ x σ y τ xy σ max 6.6 MPa
6 σ min σ x σ y σ x σ y Orientation of maximum principal stress . τ θ. xy. pσ atan 8. σ x σ y π Principal normal strains  τ xy σ min.63 MPa θ pσ ε max ε x ε y ε x ε y γ xy ε max 339. µm m ε min ε x ε y ε x ε y γ xy ε min 6.64 µm m Orientation of maximum principal strain  γ θ. xy. pε atan 8. ε x ε y π θ pε 39.3 d) Maximum shear produced by applied global stresses  τ max σ x σ y Orientation of maximum shear  τ xy σ θ. x σ y. sτ atan 8.. τ xy π τ max 3.6 MPa θ sτ 9. Maximum shear strain  γ. max ε x ε y γ xy Orientation of maximum shear strain  ε θ. x ε y. sγ atan 8. γ xy π γ max µm m θ sγ 5.7
7 . θ E x.7 Msi ν xy.363 m x.853 E y Msi m y G xy.6 Msi.3 The maximum value of G xy occurs at θ 45 G xy θ 3 The minimum value of G xy occurs at θ G xy θ Displayed graphically GPa. GPa 8 Engineering Shear Modulus (GPa) Ply Angle ( ).4 a) Graphite/Epoxy lamina b) Aluminum plate ε a.6 %
8 ε b.36 %.5 Given a) Elastic modulus in x direction per Equation (.)  G. GPa b) Elastic modulus  E x 3.4 GPa.6 E x ( 3. ) 4.73 Msi. ν b) Only can be determined, G and ν cannot be determined individually. G E.7 Yes, for some values of θ, E x < E if E E < E and G <. E ν E.8 Yes, for some values of θ, E x > E if E G >. ν.9 Basing calculations on a Boron/Epoxy lamina The value of ν xy is maximum for a 6 lamina. Displayed graphically
9 .3 Given Tabulation: LWR ζ E x (Msi).54E E E E4.35 Graph of ζ as a function of LengthtoWidth ratio .3. Zeta LengthtoWidth Ratio (L/W) Graph of Engineering modulus for Finite LWR as a function of ζ 
10 3.5 Young's modulus for Finite L/W (Msi) 3.5 E x LengthtoWidth Ratio (L/W).3 G.488 GPa b) From 35 ply data, one can find S and S for the lamina. However, for Equations (.a) and (.b), there are four unknowns: S, S, S, and S 66. Therefore, one cannot find S 66 nor, in turn, the shear modulus, G. Although the same is true in the case of the 45 ply, no manipulation of Equations (.a) and (.b) will allow S 66 to be expressed in terms of S and S for the 35 ply..33 Elastic properties of Boron/Epoxy from Table.  U.7 Msi U 3.5 Msi U Msi U Msi V 3.46 Msi V.695 Msi V 3.4 Msi V 4.9 Msi
11 .35 Given Failure Criterion Magnitude of Maximum Positive Shear Stress Magnitude of Maximum Negative Shear Stress Offaxis Shear Strength Maximum Stress 34 MPa 7.44 MPa 7.44 MPa Maximum Strain: 34 MPa MPa MPa TsaiHill: 6.4 MPa 6.4 MPa 6.4 MPa TsaiWu (Mises Hencky criterion) 39 MPa MPa MPa.36 The maximum stress failure theory gives the mode of failure. The TsaiWu failure theory is a unified theory and gives no indication of the failure mode..37 The TsaiWu failure theory agrees closely with experimentally obtained results. The difference between the maximum stress failure theory and experimental results are quite pronounced..38 Given Maximum Strain: σ Mε MPa TsaiWu (MisesHencky criterion): σ TWMH MPa The maximum biaxial stress that can be applied to a 6 lamina of Graphite/Epoxy is conservatively estimated at MPa..4 Given the strength parameters for an isotropic material σ σ. 6.5 τ... σ σ < σ T.4 Given the strength parameters for a unidirectional Boron/Epoxy system  Since H < H. H the stability criterion is satisfied..4 The units for the coefficient of thermal expansion in the USCS system are in/in/ F. In the SI system the units for the coefficient of thermal expansion are m/m/ C..43 ε C ε C γ C µm m
12 T _Offset 54.3 C.44 α x α y α xy µin in F.45 The units for the coefficient of moisture expansion in the USCS system are in/in/lbm/lbm. In the SI system the units for the coefficient of moisture expansion are m/m/kg/kg..46 β x β y β xy m m kg kg
LAMINATION THEORY FOR THE STRENGTH OF FIBER COMPOSITE MATERIALS
XXII. LAMINATION THEORY FOR THE STRENGTH OF FIBER COMPOSITE MATERIALS Introduction The lamination theory for the elastic stiffness of fiber composite materials is the backbone of the entire field, it holds
More information3D and Planar Constitutive Relations
3D and Planar Constitutive Relations A School on Mechanics of Fibre Reinforced Polymer Composites Knowledge Incubation for TEQIP Indian Institute of Technology Kanpur PM Mohite Department of Aerospace
More informationUnderstand basic stressstrain response of engineering materials.
Module 3 Constitutive quations Learning Objectives Understand basic stressstrain response of engineering materials. Quantify the linear elastic stressstrain response in terms of tensorial quantities
More informationUSE OF FINITE ELEMENT METHOD TO EVALUATE THE STRENGTH RESPONSE OF NOTCHED COMPOSITE LAMINATES UNDER TENSION ARJUN KOTHIDAR
USE OF FINITE ELEMENT METHOD TO EVALUATE THE STRENGTH RESPONSE OF NOTCHED COMPOSITE LAMINATES UNDER TENSION By ARJUN KOTHIDAR A thesis submitted in partial fulfillment of the requirements for the degree
More information2. Mechanics of Materials: Strain. 3. Hookes's Law
Mechanics of Materials Course: WB3413, Dredging Processes 1 Fundamental Theory Required for Sand, Clay and Rock Cutting 1. Mechanics of Materials: Stress 1. Introduction 2. Plane Stress and Coordinate
More information2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)?
IDE 110 S08 Test 1 Name: 1. Determine the internal axial forces in segments (1), (2) and (3). (a) N 1 = kn (b) N 2 = kn (c) N 3 = kn 2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at
More informationVALIDATION of CoDA SOFTWARE for COMPOSITES SYNTHESIS AND PRELIMINARY DESIGN (or GETTING COMPOSITES USED  PART 2 )
VALIDATION of CoDA SOFTWARE for COMPOSITES SYNTHESIS AND PRELIMINARY DESIGN (or GETTING COMPOSITES USED  PART 2 ) Graham D Sims and William R Broughton Composites Design Data and Methods, Centre for Materials
More informationFracture Mechanics of Composites with Residual Thermal Stresses
J. A. Nairn Material Science & Engineering, University of Utah, Salt Lake City, Utah 84 Fracture Mechanics of Composites with Residual Thermal Stresses The problem of calculating the energy release rate
More informationCOMPUTER AIDED DESIGN IN CASE OF THE LAMINATED COMPOSITE MATERIALS
6 th International Conference Computational Mechanics and Virtual Engineering COMEC 15 1516 October 15, Braşov, Romania COMPUER AIDED DESIGN IN CASE OF HE LAMINAED COMPOSIE MAERIALS Camelia Cerbu ransilvania
More informationCOURSE STE6289 Modern Materials and Computations (Moderne materialer og beregninger 7.5 stp.)
Narvik University College (Høgskolen i Narvik) EXAMINATION TASK COURSE STE6289 Modern Materials and Computations (Moderne materialer og beregninger 7.5 stp.) CLASS: Master students in Engineering Design
More informationMATERIAL ELASTIC ANISOTROPIC command
MATERIAL ELASTIC ANISOTROPIC command.. Synopsis The MATERIAL ELASTIC ANISOTROPIC command is used to specify the parameters associated with an anisotropic linear elastic material idealization. Syntax The
More informationFinite Element Analysis of Composite Laminate By Using ABDH Matrix(Stiffness Matrix)
Finite Element Analysis of Composite Laminate By Using ABDH Matrix(Stiffness Matrix) Nikhil J. Chaudhari 1 Post Graduate Student Department of Mechanical Engineering Veermata Jijabai Technological Institute
More informationMechanics of Materials MENG 270 Fall 2003 Exam 3 Time allowed: 90min. Q.1(a) Q.1 (b) Q.2 Q.3 Q.4 Total
Mechanics of Materials MENG 70 Fall 00 Eam Time allowed: 90min Name. Computer No. Q.(a) Q. (b) Q. Q. Q.4 Total Problem No. (a) [5Points] An air vessel is 500 mm average diameter and 0 mm thickness, the
More informationCONSTITUTIVE RELATIONS FOR LINEAR ELASTIC SOLIDS
Chapter 9 CONSTITUTIV RLATIONS FOR LINAR LASTIC SOLIDS Figure 9.1: Hooke memorial window, St. Helen s, Bishopsgate, City of London 211 212 CHAPTR 9. CONSTITUTIV RLATIONS FOR LINAR LASTIC SOLIDS 9.1 Mechanical
More informationBending of Simply Supported Isotropic and Composite Laminate Plates
Bending of Simply Supported Isotropic and Composite Laminate Plates Ernesto GutierrezMiravete 1 Isotropic Plates Consider simply a supported rectangular plate of isotropic material (length a, width b,
More informationEnhancing Prediction Accuracy In Sift Theory
18 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS Enhancing Prediction Accuracy In Sift Theory J. Wang 1 *, W. K. Chiu 1 Defence Science and Technology Organisation, Fishermans Bend, Australia, Department
More informationUnified Quiz M4 May 7, 2008 M  PORTION
9:0010: 00 (last four digits) 32141 Unified Quiz M4 May 7, 2008 M  PORTION Put the last four digits of your MIT ID # on each page of the exam. Read all questions carefully. Do all work on that question
More informationLab Exercise #3: Torsion
Lab Exercise #3: Prelab assignment: Yes No Goals: 1. To evaluate the equations of angular displacement, shear stress, and shear strain for a shaft undergoing torsional stress. Principles: testing of round
More information6.37 Determine the modulus of resilience for each of the following alloys:
6.37 Determine the modulus of resilience for each of the following alloys: Yield Strength Material MPa psi Steel alloy 550 80,000 Brass alloy 350 50,750 Aluminum alloy 50 36,50 Titanium alloy 800 116,000
More informationPressure Vessels Stresses Under Combined Loads Yield Criteria for Ductile Materials and Fracture Criteria for Brittle Materials
Pressure Vessels Stresses Under Combined Loads Yield Criteria for Ductile Materials and Fracture Criteria for Brittle Materials Pressure Vessels: In the previous lectures we have discussed elements subjected
More informationCORRELATING OFFAXIS TENSION TESTS TO SHEAR MODULUS OF WOODBASED PANELS
CORRELATING OFFAXIS TENSION TESTS TO SHEAR MODULUS OF WOODBASED PANELS By Edmond P. Saliklis 1 and Robert H. Falk ABSTRACT: The weakness of existing relationships correlating offaxis modulus of elasticity
More informationQuestion 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H
Question 1 (Problem 2.3 of rora s Introduction to Optimum Design): Design a beer mug, shown in fig, to hold as much beer as possible. The height and radius of the mug should be not more than 20 cm. The
More informationIntroduction to Engineering Materials ENGR2000. Dr. Coates
Introduction to Engineering Materials ENGR2 Chapter 6: Mechanical Properties of Metals Dr. Coates 6.2 Concepts of Stress and Strain tension compression shear torsion Tension Tests The specimen is deformed
More informationSpherical Pressure Vessels
Spherical Pressure Vessels Pressure vessels are closed structures containing liquids or gases under essure. Examples include tanks, pipes, essurized cabins, etc. Shell structures : When essure vessels
More informationFEM Modeling of a 3D Printed Carbon Fiber Pylon
FEM Modeling of a 3D Printed Carbon Fiber Pylon I. López G.*, B. Chiné, and J.L. León S. Costa Rica Institute of Technology, School of Materials Science and Engineering, Cartago, Costa Rica *Corresponding
More informationTHE MECHANICAL BEHAVIOR OF ORIENTED 3D FIBER STRUCTURES
Lappeenranta University of Technology School of Engineering Science Degree Program in Computational Engineering and Technical Physics Master s Thesis Alla Kliuzheva THE MECHANICAL BEHAVIOR OF ORIENTED
More informationAnisotropic modeling of short fibers reinforced thermoplastics materials with LSDYNA
Anisotropic modeling of short fibers reinforced thermoplastics materials with LSDYNA Alexandre Hatt 1 1 Faurecia Automotive Seating, Simplified Limited Liability Company 1 Abstract / Summary Polymer thermoplastics
More informationAn investigation of the mechanical behaviour of carbon epoxy cross ply cruciform specimens under biaxial loading
An investigation of the mechanical behaviour of carbon epoxy cross ply cruciform specimens under biaxial loading A. Makris, C. Ramault, D. Van Hemelrijck Department of Mechanics of Materials and Constructions,
More informationfriction friction ab slow fast increases during sliding
µ increases during sliding faster sliding > stronger fault > slows sliding leads to stable slip: no earthquakes can start velocitystrengthening friction slow fast µ velocitystrengthening friction
More informationUNIT I SIMPLE STRESSES AND STRAINS
Subject with Code : SM1(15A01303) Year & Sem: IIB.Tech & ISem SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) UNIT I SIMPLE STRESSES
More informationLinear plate bending and laminate theory
Linear plate bending and laminate theor 4M: Design Tools Eindhoven Universit of Technolog Linear plate bending A plate is a bod of which the material is located in a small region around a surface in the
More information*MAT_PAPER  a new orthotropic elastoplastic model for paper materials
*MAT_PAPER  a new orthotropic elastoplastic model for paper materials Jesper Karlsson, Dynamore Nordic Mikael Schill, Dynamore Nordic Johan Tryding, Tetra Pak *MAT_PAPER (*MAT_274) A new orthotropic elastoplastic
More information7. STRESS ANALYSIS AND STRESS PATHS
71 7. STRESS ANALYSIS AND STRESS PATHS 7.1 THE MOHR CIRCLE The discussions in Chapters and 5 were largely concerned with vertical stresses. A more detailed examination of soil behaviour requires a knowledge
More informationStress, Strain, Mohr s Circle
Stress, Strain, Mohr s Circle The fundamental quantities in solid mechanics are stresses and strains. In accordance with the continuum mechanics assumption, the molecular structure of materials is neglected
More informationS HEAR S TRENGTH IN P RINCIPAL P LANE OF W OOD
S HEAR S TRENGTH IN P RINCIPAL P LANE OF W OOD By Jen Y. Liu 1 and Lester H. Floeter 2 ABSTRACT: In this study, the writers used Tsai and Wu s tensor polynomial theory to rederive a formula originally
More informationAnd similarly in the other directions, so the overall result is expressed compactly as,
SQEP Tutorial Session 5: T7S0 Relates to Knowledge & Skills.5,.8 Last Update: //3 Force on an element of area; Definition of principal stresses and strains; Definition of Tresca and Mises equivalent stresses;
More informationAnalysis and Optimization of a Hybrid Fan Blade
Analysis and Optimization of a Hybrid Fan Blade Permas Users Conference 27.04.06 28.04.06 Strassbourg DLR German Aerospace Center, Stuttgart Institute of Structures and Design J. Ehrmanntraut, F. Kocian,
More informationSteady Load Failure Theories
tea Loa Failure Theories Ductile Materials Uniaxial tress/train Fiel MaximumNormaltress MaximumNormaltrain Maximumheartress DistortionEnerg hearenerg Von MisesHenck Octaheralheartress InternalFriction
More informationChapter 7. Highlights:
Chapter 7 Highlights: 1. Understand the basic concepts of engineering stress and strain, yield strength, tensile strength, Young's(elastic) modulus, ductility, toughness, resilience, true stress and true
More informationSANDWICH COMPOSITE BEAMS for STRUCTURAL APPLICATIONS
SANDWICH COMPOSITE BEAMS for STRUCTURAL APPLICATIONS de Aguiar, José M., josemaguiar@gmail.com Faculdade de Tecnologia de São Paulo, FATECSP Centro Estadual de Educação Tecnológica Paula Souza. CEETEPS
More informationENGINEERING COUNCIL CERTIFICATE LEVEL ENGINEERING SCIENCE C103 TUTORIAL 4  STRESS AND STRAIN
NGINRING COUNCIL CRTIFICAT LVL NGINRING SCINC C03 TUTORIAL 4  STRSS AND STRAIN This tutorial ma be skipped if ou are alread familiar with the topic You should judge our progress b completing the self
More informationNONLINEAR ELASTIC CONSTITUTIVE RELATIONS FOR CELLULOSIC MATERIALS
In: Perkins, R.W., ed. Mechanics of cellulosic and polymeric materials: Proceedings, 3d Joint ASCE/ASME Mechanics conference; 1989 July 912; San Diego, New York: The American Society of Mechanical Engineers;
More informationTuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE
1 Chapter 3 Load and Stress Analysis 2 Chapter Outline Equilibrium & FreeBody Diagrams Shear Force and Bending Moments in Beams Singularity Functions Stress Cartesian Stress Components Mohr s Circle for
More informationWEEK 10 Soil Behaviour at Medium Strains
WEEK 10 Soil Behaviour at Medium Strains 14. Onset of yielding 141. What is yielding: Remember? We have already studied what yielding means; if you don t remember, refer back to Week 2. It is defined
More informationUniversity of Bristol  Explore Bristol Research. Publisher's PDF, also known as Version of record License (if available): Unspecified
Garza Rodriguez, C., Smith, D., Shterenlikht, A., & Pavier, M. (2015). Advances in the deep hole drilling technique for the residual stress measurement in composite laminates. In Proc 5th Thematic Conf.
More informationStress Analysis Of Riveted Butt Joint
International Journal of Engineering Research & Technology (IJERT) ISSN: 22711 Vol. 2 Issue, August 213 Analysis Of Riveted Butt Joint K. S. Bodadkar *1 * Pg. student of Department of Mechanical Engineering
More informationCombined Stresses and Mohr s Circle. General Case of Combined Stresses. General Case of Combined Stresses con t. Twodimensional stress condition
Combined Stresses and Mohr s Circle Material in this lecture was taken from chapter 4 of General Case of Combined Stresses Twodimensional stress condition General Case of Combined Stresses con t The normal
More informationMECHANICS OF SOLIDS TORSION  TUTORIAL 1. You should judge your progress by completing the self assessment exercises.
MECHANICS OF SOIS TORSION  TUTORIA 1 You should judge your progress by completing the self assessment exercises. On completion of this tutorial you should be able to do the following. erive the torsion
More informationContinuum mechanics V. Constitutive equations. 1. Constitutive equation: definition and basic axioms
Continuum mechanics office Math 0.107 ales.janka@unifr.ch http://perso.unifr.ch/ales.janka/mechanics Mars 16, 2011, Université de Fribourg 1. Constitutive equation: definition and basic axioms Constitutive
More informationFailure Mode Predictions in the Compressive Response of Laminated Composites
Structures, Structural Dynamics, and Materials and Colocated Conferences April 811, 2013, Boston, Massachusetts 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference AIAA
More informationModeling of FiberReinforced Membrane Materials Daniel Balzani. (Acknowledgement: Anna Zahn) Tasks Week 2 Winter term 2014
Institute of echanics and Shell Structures Faculty Civil Engineering Chair of echanics odeling of FiberReinforced embrane aterials OOC@TU9 Daniel Balani (Acknowledgement: Anna Zahn Tasks Week 2 Winter
More informationNumerical investigation on the position of holes for reducing stress concentration in composite plates with bolted and riveted joints
THEORETICAL & APPLIED MECHANICS LETTERS 1, 041005 (2011) Numerical investigation on the position of holes for reducing stress concentration in composite plates with bolted and riveted joints M. R. Khoshravan,
More informationImplications of failure criteria choices on the rapid concept design of composite grillage structures using multiobjective optimisation
Noname manuscript No. (will be inserted by the editor) Implications of failure criteria choices on the rapid concept design of composite grillage structures using multiobjective optimisation A.J.Sobey
More informationEmpirical Prediction of Shear Modulus and Young's Modulus of Plywood Panels
Empirical Prediction of Shear Modulus and Young's Modulus of Plywood Panels By Edmond P. Saliklis Assistant Professor of Civil and Environmental Engineering 3 Alumni Hall of Engineering Lafayette College,
More informationGeneric Strategies to Implement Material Grading in Finite Element Methods for Isotropic and Anisotropic Materials
University of Nebraska  Lincoln DigitalCommons@University of Nebraska  Lincoln Engineering Mechanics Dissertations & Theses Mechanical & Materials Engineering, Department of Winter 1292011 Generic
More informationResidual Stress analysis
Residual Stress analysis Informations: strains Macro elastic strain tensor (I kind) Crystal anisotropic strains (II kind) Fe Cu C Macro and micro stresses Applied macro stresses Residual Stress/Strain
More informationA review on the mechanical behaviour of curvilinear fibre composite laminated panels
A review on the mechanical behaviour of curvilinear fibre composite laminated panels Pedro Ribeiro, Hamed Ahavan IDMEC/DEMec, Faculdade de Engenharia, Universidade do Porto Porto, Portugal Andrzej Teter,
More informationAspect Ratio Requirements for NanotubeReinforced, PolymerMatrix Composites
Aspect Ratio Requirements for NanotubeReinforced, PolymerMatrix Composites J.A.Nairn Wood Science and Engineering, Oregon State University, Corvallis, OR 97330, USA Abstract A fiber s efficiency in a
More informationReflection of SV Waves from the Free Surface of a. MagnetoThermoelastic Isotropic Elastic. HalfSpace under Initial Stress
Mathematica Aeterna, Vol. 4, 4, no. 8, 87793 Reflection of SV Waves from the Free Surface of a MagnetoThermoelastic Isotropic Elastic HalfSpace under Initial Stress Rajneesh Kakar Faculty of Engineering
More informationDruckerPrager yield criterion application to study the behavior of CFRP confined concrete under compression
XXXVII IAHS World ongress on Housing October 6 9, 00, Santander, Spain DruckerPrager yield criterion application to study the behavior of FRP confined concrete under compression Salvador Ivorra, Ramón
More informationApplication of Maximum Principal Strain Theory for Study of Coal Particle Disintegration when Subjected to Detonation Wave
Application of Maximum Principal Strain Theory for Study of Coal Particle Disintegration when Subjected to Detonation Wave Patadiya D. M. 1,1, Sheshadri T. S. 1,, Jaishankar S 1,3. 1,1 Department of Aerospace
More informationMain Means of Rock Stress Measurement
Real Stress Distributions through Sedimentary Strata and Implications for Reservoir Development and Potential Gas and Coal Development Strategies Ian Gray Sigra Pty Ltd 93 Colebard St West, Acacia Ridge,
More informationBME 207 Introduction to Biomechanics Spring 2017
April 7, 2017 UNIVERSITY OF RHODE ISAND Department of Electrical, Computer and Biomedical Engineering BE 207 Introduction to Biomechanics Spring 2017 Homework 7 Problem 14.3 in the textbook. In addition
More informationFINITE ELEMENT MODELING OF DELAMINATION DAMAGE IN CARBON FIBER LAMINATES SUBJECT TO LOWVELOCITY IMPACT AND
FINITE ELEMENT MODELING OF DELAMINATION DAMAGE IN CARBON FIBER LAMINATES SUBJECT TO LOWVELOCITY IMPACT AND COMPARISON WITH EXPERIMENTAL IMPACT TESTS USING NONDESTRUCTIVE VIBROTHERMOGRAPHY EVALUATION A
More informationChapter kn m/kg Ans kn m/kg Ans. 187 kn m/kg Ans.
Chapter 1 From Tables A0, A1, A, and A4c, (a) UNS G1000 HR: S ut = 80 (55) MPa (kpsi), S yt = 10 (0) MPa (kpsi) Ans. (b) SAE 1050 CD: S ut = 690 (100) MPa (kpsi), S yt = 580 (84) MPa (kpsi) Ans. (c)
More informationDamping of materials and members in structures
Journal of Physics: Conference Series Damping of materials and members in structures To cite this article: F Orban 0 J. Phys.: Conf. Ser. 68 00 View the article online for updates and enhancements. Related
More informationOne and twoparticle microrheology in solutions of actin, fdvirus and inorganic rods
Microrheology of Biopolymers (ITP Complex Fluids Program 3/05/02) One and twoparticle microrheology in solutions of actin, fdvirus and inorganic rods Christoph Schmidt Vrije Universiteit Amsterdam Collaborators:
More informationROCK MASS PROPERTIES FOR TUNNELLING
ROCK MASS PROPERTIES FOR TUNNELLING Robert Bertuzzi 2 nd November 2017 1 Driver Estimating the strength and deformation characteristics of a rock mass for tunnel design is generally based on empiricism
More informationApplications of the Incremental HoleDrilling Method for Measurement of NonUniform Residual Stresses in Fiber Metal Laminates
345335 6 5394 mme.modares.ac.ir  *2  2 ghasemi@kashanu.ac.ir 8737567 * (FML) . FML FML FML... [AL/ /9 ] FML.. FML. FML. FML 393 7 : 394 2 : 394 4 :  ApplicationsoftheIncrementalHoleDrillingMethodforMeasurementof
More informationProf. B V S Viswanadham, Department of Civil Engineering, IIT Bombay
56 Module 4: Lecture 7 on Stressstrain relationship and Shear strength of soils Contents Stress state, Mohr s circle analysis and Pole, Principal stressspace, Stress pathsin pq space; MohrCoulomb failure
More informationComposite Materials 261 and 262
Composite Materials 261 and 262 Stefan Hartmann 1 David Moncayo 2 1 DYNAmore GmbH, Stuttgart, Germany 2 Daimler AG, Sindelfingen, Germany 11. LSDYNA Forum 2012, 9.  10. Oktober 2012, Ulm 1 Outline Introduction
More informationElements of Polymer Structure and Viscoelasticity. David M. Parks Mechanics and Materials II February 18, 2004
Elements of Polymer Structure and Viscoelasticity David M. Parks Mechanics and Materials II 2.002 February 18, 2004 Outline Elements of polymer structure Linear vs. branched; Vinyl polymers and substitutions
More informationParametric analysis and torsion design charts for axially restrained RC beams
Structural Engineering and Mechanics, Vol. 55, No. 1 (2015) 127 DOI: http://dx.doi.org/10.12989/sem.2015.55.1.001 1 Parametric analysis and torsion design charts for axially restrained RC beams Luís F.A.
More informationAnalysis of the geometrical dependence of auxetic behavior in reentrant structures by finite elements
Acta Mech. Sin. (2016) 32(2):295 300 DOI 10.1007/s1040901505342 RESEARCH PAPER Analysis of the geometrical dependence of auxetic behavior in reentrant structures by finite elements V. H. Carneiro 1
More informationUniversity of Bristol  Explore Bristol Research. Early version, also known as preprint
Hallett, S. R., & Wisnom, M. R. (2006). Numerical investigation of progressive damage and the effect of layup in notched tensile tests. Journal of Composite Materials, 40 (14), 12291245. DOI: 10.1177/0021998305057432
More informationUnified Constitutive Model for Engineering Pavement Materials and Computer Applications. University of Illinois 12 February 2009
Unified Constitutive Model for Engineering Pavement Materials and Computer Applications Chandrakant S. Desai Kent Distinguished i Lecture University of Illinois 12 February 2009 Participation in Pavements.
More informationMohr's Circle for 2D Stress Analysis
Mohr's Circle for 2D Stress Analysis If you want to know the principal stresses and maximum shear stresses, you can simply make it through 2D or 3D Mohr's cirlcles! You can know about the theory of
More informationAN IMPORTANT PITFALL OF PSEUDOSTATIC FINITE ELEMENT ANALYSIS
AN IMPORTANT PITFALL OF PSEUDOSTATIC FINITE ELEMENT ANALYSIS S. Kontoe, L. Pelecanos & D.M. Potts ABSTRACT: Finite Element (FE) pseudostatic analysis can provide a good compromise between simplified
More informationINVERSE METHOD FOR FLOW STRESS PARAMETERS IDENTIFICATION OF TUBE BULGE HYDROFORMING CONSIDERING ANISOTROPY
7 th EUROMECH Solid Mechanics Conference J. Ambrósio et.al. (eds.) Lisbon, Portugal, September 711, 2009 INVERSE METHOD FOR FLOW STRESS PARAMETERS IDENTIFICATION OF TUBE BULGE HYDROFORMING CONSIDERING
More informationInternational Journal of Advanced Engineering Technology EISSN
Research Article INTEGRATED FORCE METHOD FOR FIBER REINFORCED COMPOSITE PLATE BENDING PROBLEMS Doiphode G. S., Patodi S. C.* Address for Correspondence Assistant Professor, Applied Mechanics Department,
More informationThe Effects of Holesize and Environment on the Mechanical Behaviour of a Quasiisotropic AS4/ Laminate in Tension, Compression and Bending
The Effects of Holesize and Environment on the Mechanical Behaviour of a Quasiisotropic AS4/3506 Laminate in Tension, Compression and Bending Paul J. Callus Air Vehicles Division Defence Science and
More informationFinite Element Modeling of an Aluminum Tricycle Frame
Finite Element Modeling of an Aluminum Tricycle Frame A. Rodríguez, B. Chiné*, and J. A. Ramírez Costa Rica Institute of Technology, School of Materials Science and Engineering, Cartago, Costa Rica *Corresponding
More informationARC 341 Structural Analysis II. Lecture 10: MM1.3 MM1.13
ARC241 Structural Analysis I Lecture 10: MM1.3 MM1.13 MM1.4) Analysis and Design MM1.5) Axial Loading; Normal Stress MM1.6) Shearing Stress MM1.7) Bearing Stress in Connections MM1.9) Method of Problem
More informationMidterm 2 PROBLEM POINTS MAX
Midterm 2 PROBLEM POINTS MAX 1 30 2 24 3 15 4 45 5 36 1 Personally, I liked the University; they gave us money and facilities, we didn't have to produce anything. You've never been out of college. You
More informationFinite Element Analysis of Wood and Composite Structured Hockey sticks
Finite Element Analysis of Wood and Composite Structured Hockey sticks 605 Finite Element Analysis Professor Ian Grosse May 15, 2003 By: Michael O Brien Project Statement The direction of this project
More informationThe Frictional Regime
The Frictional Regime Processes in Structural Geology & Tectonics Ben van der Pluijm WW Norton+Authors, unless noted otherwise 1/25/2016 10:08 AM We Discuss The Frictional Regime Processes of Brittle Deformation
More informationDesign of reinforced concrete sections according to EN and EN
Design of reinforced concrete sections according to EN 199211 and EN 19922 Validation Examples Brno, 21.10.2010 IDEA RS s.r.o. South Moravian Innovation Centre, U Vodarny 2a, 616 00 BRNO tel.: +420511
More informationChapter 13 ELASTIC PROPERTIES OF MATERIALS
Physics Including Human Applications 280 Chapter 13 ELASTIC PROPERTIES OF MATERIALS GOALS When you have mastered the contents of this chapter, you will be able to achieve the following goals: Definitions
More informationKirchhoff Plates: Field Equations
20 Kirchhoff Plates: Field Equations AFEM Ch 20 Slide 1 Plate Structures A plate is a three dimensional bod characterized b Thinness: one of the plate dimensions, the thickness, is much smaller than the
More informationNANOINDENTATION STUDIES OF PAPER
Progress in Paper Physics Seminar 2008  June 25, Otaniemi Finland NANOINDENTATION STUDIES OF PAPER B. F. West 1, B. T. Hotle 2, J. E. Jakes 3,4, J. M. Considine 3, R. E. Rowlands 1 and K. T. Turner 1,4
More informationThe hitch in all of this is figuring out the two principal angles and which principal stress goes with which principal angle.
Mohr s Circle The stress basic transformation equations that we developed allowed us to determine the stresses acting on an element regardless of its orientation as long as we know the basic stresses σx,
More informationApplication of nanoindentation technique to extract properties of thin films through experimental and numerical analysis
Materials SciencePoland, Vol. 28, No. 3, 2010 Application of nanoindentation technique to extract properties of thin films through experimental and numerical analysis A. WYMYSŁOWSKI 1*, Ł. DOWHAŃ 1, O.
More informationMaterials and Design 29 (2008) Delamination in FRP laminates with holes under transverse impact. Tarapada Roy, Debabrata Chakraborty *
Materials and Design 9 (8) 14 13 Materials & Design www.elsevier.com/locate/matdes Delamination in FRP laminates with holes under transverse impact Tarapada Roy, Debabrata Chakraborty * Mechanical Engineering
More informationMulti physics design and optimization of flexible matrix composite (FMC) driveshafts
Research Collection Master Thesis Multi physics design and optimization of flexible matrix composite (FMC) driveshafts Author(s): Roos, Christoph Publication Date: 2010 Permanent Link: https://doi.org/10.3929/ethza010076645
More informationSupplementary Figure 1 Extracting process of wetting ridge profiles. a14, An extraction example of a ridge profile for E 16 kpa.
Supplementary Figure 1 Extracting process of wetting ridge profiles. a14, An extraction example of a ridge profile for E 16 kpa. An original image (a1) was binarized, as shown in a2, by Canny edge detector
More informationTHEME A. Analysis of the elastic behaviour of La Aceña archgravity dam
THEME A Analysis of the elastic behaviour of La Aceña archgravity dam Gjorgi KOKALANOV, Professor, Faculty of Civil Eng., Skopje, Republic of Macedonia Ljubomir TANČEV, Professor, Faculty of Civil Eng.,
More informationStress and Wear Analysis of the Disc Cutter of Rock Tunnel Boring Machine
Send Orders for Reprints to reprints@benthamscience.ae The Open Mechanical Engineering Journal, 2015, 9, 721725 721 Open Access Stress and Wear Analysis of the Disc Cutter of Rock Tunnel Boring Machine
More informationChapter 6: Mechanical Properties of Metals. Dr. Feras Fraige
Chapter 6: Mechanical Properties of Metals Dr. Feras Fraige Stress and Strain Tension Compression Shear Torsion Elastic deformation Plastic Deformation Yield Strength Tensile Strength Ductility Toughness
More information= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200
Notes for Strength of Materials, ET 00 Steel Six Easy Steps Steel beam design is about selecting the lightest steel beam that will support the load without exceeding the bending strength or shear strength
More informationPullout Tests of Geogrids Embedded in Noncohesive Soil
Archives of HydroEngineering and Environmental Mechanics Vol. 51 (2004), No. 2, pp. 135 147 Pullout Tests of Geogrids Embedded in Noncohesive Soil Angelika Duszyńska, Adam F. Bolt Gdansk University of
More information