Development, implementation and Validation of 3-D Failure Model for Aluminium 2024 for High Speed Impact Applications
|
|
- Maximilian Murphy
- 6 years ago
- Views:
Transcription
1 Development, implementation and Validation of -D Failure Model for Aluminium 2024 for High Speed Impact Applications Paul Du Bois, Murat Buyuk, Jeanne He, Steve Kan NCAC-GWU th International LS-DYNA Users Conference June Dearborn, Michigan, USA Introduction FAA William J Hughes Technical Center (NJ) conducts a research project to simulate failure in aeroengines and fuselages, main purpose is blade-out containment studies material testing performed by OSU ballistic testing performed by NASA/GRC numerical simulations performed by GWU-NCAC involved the implementation in LS-DYNA of a tabulated generalisation of the Johnson-Cook material law with regularisation to accommodate simulation of ductile materials previously published results in : A Generalized, Three Dimensional Definition, Description and Derived Limits of the Triaxial Failure of Metals, Carney, DuBois, Buyuk, Kan, Earth&Sky, march 2008
2 FAA engine safety working group NASA Glenn Cleveland OH GWU-NCAC Sterling VA FAA Seattle W FAA Atlantic City NJ LSTC Livermore CA OSU Columbus OH penetration failure modes /6 05. ft/s /8 42 ft/s / ft/s Petaling Bending ecking Plugging Shearing Spaling
3 Part : OVERVIEW OF MAT_224 Development of MAT_224 in LS-DYNA The Johnson-Cook material law is based on a multiplicative decomposition of strain hardening, strain rate hardening and thermal softening : σ y m n εɺ T TR = ( a+ bεp) cln + εɺ T T A similar formulation is used for the plastic failure strain in function of state of stress (triaxiality), temperature and strain rate ε pf p D εɺ T T = σ ( + ) + + A damage variable with scalar accumulation is used as failure criterion : Exactly the same approach is followed in MAT_224 analytical formulations are replaced by tabulated generalisation 0 R D De vm D ln D εɺ 0 T m T R d dε ε p = pf m R
4 Development of MAT_224 in LS-DYNA regularisation of the displacement at failure is added to account for the inevitable mesh-dependency of the simulations after necking in ductile materials started development in november 2006 production version available in ls97-r4.2 current presentation is based on implementation in ls97-r5.0 developed on the basis of MAT_024 with VP= available for fully and underintegrated shell and solid elements full keyword code : *MAT_TABULATED_JOHNSON_COOK MAT_224 : material law k : table of rate dependent isothermal hardening curves or load curve defining quasistatic hardening curve kt : table of temperature dependent quasistatic hardening curves σ = k ( ε, εɺ ) kt( ε, T) y p p p ε = εɺ p β T= TR+ Cρ p p σεɺ y p
5 MAT_224 : failure model f : table of load curves giving failure plastic strain in function of triaxiality at constant Lode angle g : scaling function for rate effects h : scaling function for temperature i : regularisation curve ε pf p = f g( εp) h( T) i( lc) σ ɺ vm MAT_224 : material law : basic example σ = k ( ε, εɺ ) kt( ε, T) y p p p 000 Yield Stress (MPa) Plastic Strain T ε σ TR σy= k ( εp, εɺ p) TM 0 TR = 00 K TM = 775 K
6 MAT_224 : failure law : basic example E q. P l a s ti c S tr a i n Triaxiality E q. P l a s ti c S tra i n εɺ εf TR 0 TM Triaxiality ε d TR = 00 K TM = 775 K 0 l max p = f g( ε ) h( T)( i l ) σ ɺ vm dεp = ε pf p c pf MAT_224 : Verification Process extensive verification needs to be performed some elementary single solid element tests are shown next resuls must be compared to reliably implemented material laws in LS-DYNA : natural choices are MAT_024 and MAT_05 in particular verify the influence of thermal softening and stress triaxiality
7 A B C D Ζ/ Τ E F A B C D Ζ/ Τ E F
8 A B C D Ζ/ Τ E F A B C D Ζ/ Τ E F
9 Once and for all : the history variables : HV Shell Solid Plastic strain rate 5 Plastic strain rate 7 Plastic work 8 Plastic strain/failure strain Plastic failure strain 9 Element size triaxiality 0 temperature Lode angle Plastic failure strain Plastic work 2 Triaxiality Plastic strain/failure strain Element size 4 temperature Part 2 : FAILURE MODEL DESCRIPTION THE PLANE STRESS CASE
10 Characterisation of the state-of-stress general state of stress : σ 0 0 σ < 2 0 σ 0 σ 0 2 = σ < 0 0 σ State-of-stress is compression only unless the first principal stress is strictly positive σ σ > 0 0 σ 0 σ 0 a 0 = σ 0 0 b parameters are needed to characterize the state-of-stress up to a multiplicative constant, one valid choice is : σ σ a= b= σ σ 2 Plane stress general state of plane stress : σ aσ 0 a σ σ σ 0 0 σ σ σ 0 0 σ σ a invariants : 0 0 aσ σ+ σ2 p σ + a + a p= = = 2 2 σvm σ + a a + a a p σ + a + a σ = σ + σ σσ = = + + a a vm σvm σ a a
11 Important cases of plane stress overview of plane states of stress : p σ vm σ 0 0 σ 0 0 σ 0 0 σ 0 0 σ σ σ σ 0 0 σ 0 0 σ a= a= /2 a= 0 a = a σ = 0 Example of a minimal test program for metal sheet : notched sample smooth sample? shear sample FKP GP SZP η Courtesy Adam Opel AG0
12 f Failure model : step sdehnung ε pl [ - ] plastische Dehnung ε pl [ - ] bzw. Versagens Triaxialität [ - ] FKP_R FKP_R8 FKP_R0 GP DSP_ DSP_7 DSP_0 SZP Versagen Courtesy Adam Opel AG0 Failure model : step 2 ε pl Failure strain? average triaxiality Failure curve Iterative improvement η f η mittel η First estimate : Courtesy Adam Opel AG0
13 f Failure model : step : regularisation Sollwerte (Versuchs-Versagensmesslänge erreicht) Simulation.2 7,5 mm 5 mm 4 mm mm 2 mm mm 0,5 mm - ] Versagensdehnung ε pl [ Elementkantenlänge l ele [mm] Courtesy Adam Opel AG0 Plane stress Failure criterion for Aluminium 2024
14 Plane stress Failure criterion for Aluminium 2024 Comparison to JC failure criteria In fact the JC criterion usually cannot handle petaling ( tensile) and plugging (shear) failure simultaneously Example of AL2024, the physical failure criterion is more complex then JC
15 Part 2 : FAILURE MODEL DESCRIPTION THE D CASE dependency upon the state of stress : D case in a D state of stress ( solid elements ) it cannot be assumed that the third invariant of the stress tensor is zero, 2 invariant parameters are needed to characterize the state of stress : p σ vm σ + a+ b = σ + + I σσσ σ σ σ 2 2 a b ab a b 2 = = vm vm σ 2 2 ab ( + a + b ab a b) Lode angle is often used since it varies between - and /2 J I p p = + σvm σvm σvm σvm 27J 27sss = 2σ 2 2 vm σvm
16 material tests for failure criterion I σ vm failure criteria for solid elements 27J 2σ = vm 27J σ = 2 vm 27J 0 σ = 2 vm t p = σ vm
17 Dynamic punch testing on the SHB Controlled dynamic testing is performed on a SHB to examine failure of Aluminium 2024 before assessing the ballistic testing by NASA SHB at OSU is used for dynamic punch testing at 20 m/s using different punch shapes and a circular sample with D=4.56 mm and t=.456 mm (0%) different punch shapes were selected these tests allow validation of the failure criteria determined from quasistatic testing on samples with different shapes also failure criterion can be extended to states of stress lying on the compressive meridian crack patterns corresponding to different failure modes ( petaling, plugging and combined ) can be examined stop collars were used to arrest the impactor bar at predetermined values of the displacement allowing to study the crack growth in the samples dynamic punch testing on the SHB Punch Punch 4 Punch 6
18 what happens during a punch test? I σ vm top side of sample biaxial compression bottom side of sample biaxial tension σ σ 2 σ 00 0σ p t= σ vm extension meridian : a=b cilinder gets longer Lode= compression meridian : a= cilinder gets shorter Lode=- ~Lode ~Triaxiali ty -0.8 Cylinder G6 Grooved Plate G Cylinder G5 Grooved Plate G2 Punch Cylinder G4 Dogbone G4 Grooved Plate G 0.49 Cylinder G Dogbone G -0.4 Cylinder G2 Dogbone G2-0. Cylinder G Dogbone G Tension/Torsi on Tension/Torsi on 0 Torsion Punch 6 Spline-4 Punch 4 0. Compression Spline- Free Points Spline-2 Spline-
19 Basic splines for the D failure model -D Failure criterion for Aluminium 2024
20 preliminary simulation results : punch
21 preliminary simulation results : punch bottom view top view preliminary simulation results : punch 4-0.6
22 preliminary simulation results : punch 4 preliminary simulation results : punch 6
23 preliminary simulation results : punch 6 Comparison to SHB test results : mm displacement bottom no cracks yet top
24 Comparison to SHB test results :.7mm displacement circumferential crack at bottom side Comparison to SHB test results : 2.4mm displacement radial cracks also appear at the bottom side
25 animated simulation results Comparison to SHB test results : 2.4mm displacement radial cracks also appear at the bottom side
26 Part : CONCLUSION Continuation further iterations using the material and punch test results to refine the failure model simulation of the ballistic tests performed at GRC to assess the current model
27 Limitations of the current method material may not yield according to the von Mises yield surface : σt σc > σt σs < material may be anisotropic damage accumulation may need to be tensorial if cyclic loading is considered regularisation may not be uncoupled from the state of stress, the current approach will fail to correctly simulate failure induced by plastic instability some of these considerations will need to be assessed when titanium is investigated next Mesh dependent orientation of the localized neck Equivalent Plastc strain Messlängen- Dehnung 0,000 l =,6 mm 0,056 0, 0,67 0,222 0,278 0, 0,89 l =,68 mm 0,444 0,500 Courtesy Adam Opel AG0
28 Conclusions predictive analysis of failure is desribale for materials used in aeronautical structures to achieve maximum flexibility in the numerical models a tabulated and regularized generalisation of the Johnson-Cook material law was implemented in LS-DYNA a comprehensive testing program was used to create a material data card for aluminium 2024 it proved possible to predict the complicate crack pattern in a dynamic punch test the results of the punch tests can be used for further fine tuning of the material dataset
INCREASING RUPTURE PREDICTABILITY FOR ALUMINUM
1 INCREASING RUPTURE PREDICTABILITY FOR ALUMINUM Influence of anisotropy Daniel Riemensperger, Adam Opel AG Paul Du Bois, PDB 2 www.opel.com CONTENT Introduction/motivation Isotropic & anisotropic material
More informationRecent Developments in Damage and Failure Modeling with LS-DYNA
Recent evelopments in amage and Failure Modeling with LS-YNA r. André Haufe ynamore GmbH Frieder Neukamm, r. Markus Feucht aimler AG Paul ubois Consultant r. Thomas Borvall ERAB 1 Technological challenges
More informationA Semianalytical Model for the Simulation of Polymers
A Semianalytical Model for the Simulation of Polymers Paul Du Bois 3, Stefan Kolling 1, Markus Feucht 1 & André Haufe 2 1 DaimlerChrysler AG, Sindelfingen, Germany 2 Dynamore GmbH, Stuttgart, Germany 3
More informationLecture #8: Ductile Fracture (Theory & Experiments)
Lecture #8: Ductile Fracture (Theory & Experiments) by Dirk Mohr ETH Zurich, Department of Mechanical and Process Engineering, Chair of Computational Modeling of Materials in Manufacturing 2015 1 1 1 Ductile
More informationLecture #7: Basic Notions of Fracture Mechanics Ductile Fracture
Lecture #7: Basic Notions of Fracture Mechanics Ductile Fracture by Dirk Mohr ETH Zurich, Department of Mechanical and Process Engineering, Chair of Computational Modeling of Materials in Manufacturing
More informationModelling of ductile failure in metal forming
Modelling of ductile failure in metal forming H.H. Wisselink, J. Huetink Materials Innovation Institute (M2i) / University of Twente, Enschede, The Netherlands Summary: Damage and fracture are important
More informationGISSMO Material Modeling with a sophisticated Failure Criteria
GISSMO Material Modeling with a sophisticated Failure Criteria André Haufe, Paul DuBois, Frieder Neukamm, Markus Feucht Dynamore GmbH Industriestraße 2 70565 Stuttgart http://www.dynamore.de Motivation
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 informationPlasticity R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur
Plasticity R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur-613 401 Joint Initiative of IITs and IISc Funded by MHRD Page 1 of 9 Table of Contents 1. Plasticity:... 3 1.1 Plastic Deformation,
More informationPlastic Instability of Rate-Dependent Materials - A Theoretical Approach in Comparison to FE-Analyses -
Plastic Instability of Rate-Dependent Materials - A Theoretical Approach in Comparison to FE-Analyses - Christian Keller 1, Uwe Herbrich 1 1 Bundesanstalt für Materialforschung und -prüfung 12200 Berlin,
More informationAnisotropic modeling of short fibers reinforced thermoplastics materials with LS-DYNA
Anisotropic modeling of short fibers reinforced thermoplastics materials with LS-DYNA Alexandre Hatt 1 1 Faurecia Automotive Seating, Simplified Limited Liability Company 1 Abstract / Summary Polymer thermoplastics
More informationUniversity of Sheffield The development of finite elements for 3D structural analysis in fire
The development of finite elements for 3D structural analysis in fire Chaoming Yu, I. W. Burgess, Z. Huang, R. J. Plank Department of Civil and Structural Engineering StiFF 05/09/2006 3D composite structures
More informationMultiaxial Fatigue. Professor Darrell F. Socie. Department of Mechanical Science and Engineering University of Illinois at Urbana-Champaign
Multiaxial Fatigue Professor Darrell F. Socie Department of Mechanical Science and Engineering University of Illinois at Urbana-Champaign 2001-2011 Darrell Socie, All Rights Reserved Contact Information
More information5. STRESS CONCENTRATIONS. and strains in shafts apply only to solid and hollow circular shafts while they are in the
5. STRESS CONCENTRATIONS So far in this thesis, most of the formulas we have seen to calculate the stresses and strains in shafts apply only to solid and hollow circular shafts while they are in the elastic
More informationCrash and Vibration Analysis of rotors in a Roots Vacuum Booster
Crash and Vibration Analysis of rotors in a Roots Vacuum Booster Manuel Roth 1, Stefan Kolling 2 1 Pfeiffer Vacuum GmbH, R&D Backing Pumps, Asslar, Germany 2 Giessen University of Applied Sciences, Laboratory
More informationAnisotropic plasticity, anisotropic failure and their application to the simulation of aluminium extrusions under crash loads
Anisotropic plasticity, anisotropic failure and their application to the simulation of aluminium extrusions under crash loads Paul Du Bois, Consulting engineer Oasys LS-DYNA Users Meeting 28th January
More informationMMJ1133 FATIGUE AND FRACTURE MECHANICS A - INTRODUCTION INTRODUCTION
A - INTRODUCTION INTRODUCTION M.N.Tamin, CSMLab, UTM Course Content: A - INTRODUCTION Mechanical failure modes; Review of load and stress analysis equilibrium equations, complex stresses, stress transformation,
More informationA Simple and Accurate Elastoplastic Model Dependent on the Third Invariant and Applied to a Wide Range of Stress Triaxiality
A Simple and Accurate Elastoplastic Model Dependent on the Third Invariant and Applied to a Wide Range of Stress Triaxiality Lucival Malcher Department of Mechanical Engineering Faculty of Tecnology, University
More informationA rate-dependent Hosford-Coulomb model for predicting ductile fracture at high strain rates
EPJ Web of Conferences 94, 01080 (2015) DOI: 10.1051/epjconf/20159401080 c Owned by the authors, published by EDP Sciences, 2015 A rate-dependent Hosford-Coulomb model for predicting ductile fracture at
More informationFatigue and Fracture
Fatigue and Fracture Multiaxial Fatigue Professor Darrell F. Socie Mechanical Science and Engineering University of Illinois 2004-2013 Darrell Socie, All Rights Reserved When is Multiaxial Fatigue Important?
More informationAn orthotropic damage model for crash simulation of composites
High Performance Structures and Materials III 511 An orthotropic damage model for crash simulation of composites W. Wang 1, F. H. M. Swartjes 1 & M. D. Gan 1 BU Automotive Centre of Lightweight Structures
More informationStress concentrations, fracture and fatigue
Stress concentrations, fracture and fatigue Piet Schreurs Department of Mechanical Engineering Eindhoven University of Technology http://www.mate.tue.nl/ piet December 1, 2016 Overview Stress concentrations
More informationStrength and Damage Tolerance of Adhesively Bonded Joints: Stress-Based and Fracture-Based Approaches
Strength and Damage Tolerance of Adhesively Bonded Joints: Stress-Based and Fracture-Based Approaches Hyonny Kim Assistant Professor School of Aeronautics and Astronautics, Purdue University presented
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 informationVolume 2 Fatigue Theory Reference Manual
Volume Fatigue Theory Reference Manual Contents 1 Introduction to fatigue 1.1 Introduction... 1-1 1. Description of the applied loading... 1-1.3 Endurance curves... 1-3 1.4 Generalising fatigue data...
More informationRatcheting and Rolling Contact Fatigue Crack Initiation Life of Rails under Service Loading. Wenyi YAN Monash University, Australia
Ratcheting and Rolling Contact Fatigue Crack Initiation Life of Rails under Service Loading Wenyi YAN Monash University, Australia Chung Lun PUN Peter Mutton Qianhua Kan Guozheng Kang Contents Introduction
More informationModeling Hailstone Impact onto Composite Material Panel Under a Multi-axial State of Stress
Modeling Hailstone Impact onto Composite Material Panel Under a Multi-axial State of Stress Authors Marco ANGHILERI * Luigi-M L CASTELLETTI * Andrea MILANESE * and Andrea SEMBOLONI * Affiliation * Politecnico
More informationNUMERICAL AND EXPERIMENTAL STUDY OF FAILURE IN STEEL BEAMS UNDER IMPACT CONDITIONS
Blucher Mechanical Engineering Proceedings May 2014, vol. 1, num. 1 www.proceedings.blucher.com.br/evento/10wccm NUMERICAL AND EXPERIMENTAL STUDY OF FAILURE IN STEEL BEAMS UNDER IMPACT CONDITIONS E. D.
More informationThe objective of this experiment is to investigate the behavior of steel specimen under a tensile test and to determine it's properties.
Objective: The objective of this experiment is to investigate the behavior of steel specimen under a tensile test and to determine it's properties. Introduction: Mechanical testing plays an important role
More informationA PAPER ON DESIGN AND ANALYSIS OF PRESSURE VESSEL
A PAPER ON DESIGN AND ANALYSIS OF PRESSURE VESSEL P.Palanivelu 1, R.Siva Prasad 2, 1 PG Scholar, Department of Mechanical Engineering, Gojan School of Business and Technology, Redhills, Chennai, India.
More informationExperiments and Numerical Simulations on Stress-State-Dependence of Ductile Damage Criteria
Experiments and Numerical Simulations on Stress-State-Dependence of Ductile Damage Criteria Michael Brünig, Steffen Gerke and Daniel Brenner Abstract The paper deals with a series of new experiments and
More information1. Background. is usually significantly lower than it is in uniaxial tension
NOTES ON QUANTIFYING MODES OF A SECOND- ORDER TENSOR. The mechanical behavior of rocks and rock-like materials (concrete, ceramics, etc.) strongly depends on the loading mode, defined by the values and
More informationFailure from static loading
Failure from static loading Topics Quiz /1/07 Failures from static loading Reading Chapter 5 Homework HW 3 due /1 HW 4 due /8 What is Failure? Failure any change in a machine part which makes it unable
More informationCard Variable MID RO E PR ECC QH0 FT FC. Type A8 F F F F F F F. Default none none none 0.2 AUTO 0.3 none none
Note: This is an extended description of MAT_273 input provided by Peter Grassl It contains additional guidance on the choice of input parameters beyond the description in the official LS-DYNA manual Last
More informationCHAPTER 2 Failure/Fracture Criterion
(11) CHAPTER 2 Failure/Fracture Criterion (12) Failure (Yield) Criteria for Ductile Materials under Plane Stress Designer engineer: 1- Analysis of loading (for simple geometry using what you learn here
More information*MAT_PAPER and *MAT_COHESIVE_PAPER: Two New Models for Paperboard Materials
14 th International LS-DYNA Users Conference Session: Constitutive Modeling *MAT_PAPER and *MAT_COHESIVE_PAPER: Two New Models for Paperboard Materials Jesper Karlsson 1, Mikael Schill 1, Johan Tryding
More informationSIMPLIFIED CONCRETE MODELING WITH *MAT_CONCRET_DAMAGE_REL3
SIMPLIFIED CONCRETE MODELING WITH *MAT_CONCRET_DAMAGE_REL3 Leonard E Schwer Schwer Engineering & Consulting Services, Windsor CA, USA and L. Javier Malvar Karagozian & Case Structural Engineers, Burbank
More informationStatic Failure (pg 206)
Static Failure (pg 06) All material followed Hookeʹs law which states that strain is proportional to stress applied, until it exceed the proportional limits. It will reach and exceed the elastic limit
More informationME 2570 MECHANICS OF MATERIALS
ME 2570 MECHANICS OF MATERIALS Chapter III. Mechanical Properties of Materials 1 Tension and Compression Test The strength of a material depends on its ability to sustain a load without undue deformation
More informationEQUIVALENT FRACTURE ENERGY CONCEPT FOR DYNAMIC RESPONSE ANALYSIS OF PROTOTYPE RC GIRDERS
EQUIVALENT FRACTURE ENERGY CONCEPT FOR DYNAMIC RESPONSE ANALYSIS OF PROTOTYPE RC GIRDERS Abdul Qadir Bhatti 1, Norimitsu Kishi 2 and Khaliq U Rehman Shad 3 1 Assistant Professor, Dept. of Structural Engineering,
More informationTorsion of Solid Sections. Introduction
Introduction Torque is a common load in aircraft structures In torsion of circular sections, shear strain is a linear function of radial distance Plane sections are assumed to rotate as rigid bodies These
More informationImpact and Crash Modeling of Composite Structures: A Challenge for Damage Mechanics
Impact and Crash Modeling of Composite Structures: A Challenge for Damage Mechanics Dr. A. Johnson DLR Dr. A. K. Pickett ESI GmbH EURO-PAM 99 Impact and Crash Modelling of Composite Structures: A Challenge
More informationAN ABSTRACT OF A THESIS HYDROSTATIC STRESS EFFECTS IN METAL PLASTICITY
AN ABSTRACT OF A THESIS HYDROSTATIC STRESS EFFECTS IN METAL PLASTICITY Phillip A. Allen Master of Science in Mechanical Engineering Classical metal plasticity theory assumes that hydrostatic pressure has
More informationPredicting Fatigue Life with ANSYS Workbench
Predicting Fatigue Life with ANSYS Workbench How To Design Products That Meet Their Intended Design Life Requirements Raymond L. Browell, P. E. Product Manager New Technologies ANSYS, Inc. Al Hancq Development
More informationMathematical Relations Related to the Lode. Parameter for Studies of Ductility
Advanced Studies in Theoretical Physics Vol. 0, 06, no., - 4 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/0.988/astp.06.50 Mathematical Relations Related to the Lode Parameter for Studies of Ductility
More informationNUMERICAL SIMULATION OF DAMAGE IN THERMOPLASTIC COMPOSITE MATERIALS
5 th European LS-DYNA Users Conference Composites NUMERICAL SIMULATION OF DAMAGE IN THERMOPLASTIC COMPOSITE MATERIALS Kevin Brown 1, Richard Brooks, Nicholas Warrior School of Mechanical, Materials and
More information14. LS-DYNA Forum 2016
14. LS-DYNA Forum 2016 A Novel Approach to Model Laminated Glass R. Böhm, A. Haufe, A. Erhart DYNAmore GmbH Stuttgart 1 Content Introduction and Motivation Common approach to model laminated glass New
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 informationMATERIAL MECHANICS, SE2126 COMPUTER LAB 2 PLASTICITY
MATERIAL MECHANICS, SE2126 COMPUTER LAB 2 PLASTICITY PART A INTEGRATED CIRCUIT An integrated circuit can be thought of as a very complex maze of electronic components and metallic connectors. These connectors
More informationDamage modeling for Taylor impact simulations
J. Phys. IV France 134 (2006) 331 337 C EDP Sciences, Les Ulis DOI: 10.1051/jp4:2006134051 Damage modeling for Taylor impact simulations C.E. Anderson Jr. 1, I.S. Chocron 1 and A.E. Nicholls 1 1 Engineering
More informationFailure surface according to maximum principal stress theory
Maximum Principal Stress Theory (W. Rankin s Theory- 1850) Brittle Material The maximum principal stress criterion: Rankin stated max principal stress theory as follows- a material fails by fracturing
More informationChapter 6: Plastic Theory
OHP Mechanical Properties of Materials Chapter 6: Plastic Theory Prof. Wenjea J. Tseng 曾文甲 Department of Materials Engineering National Chung Hsing University wenjea@dragon.nchu.edu.tw Reference: W. F.
More informationEvaluation of Material Models to Predict Material Failure in LS-DYNA
Department of Construction Sciences Solid Mechanics ISRN LUTFD2/TFHF-16/5209-SE(1-55) Evaluation of Material Models to Predict Material Failure in LS-DYNA Master s Dissertation by Hjalmar Sandberg Oscar
More informationPredicting Failure of Multiangle Composite Laminates
Predicting Failure of Multiangle Composite Laminates Preliminary discussion (not in textbook): Micromechanics failure analyses vs Macromechanics failure analyses Fiber Architecture of Some Common Composite
More informationLiu Fu 1,2, Zhang Jiazhen 1, Hu Zhongmin 1, and Zhang Mingyi 1 1
Liu Fu 1,2, Zhang Jiazhen 1, Hu Zhongmin 1, and Zhang Mingyi 1 1 Beijing Aeronautical Science & Technology Research Institute of COMAC, Beijing 102211, PR China 2 Nanjing University of Aeronautics and
More informationAbstract. 1 Introduction
Contact analysis for the modelling of anchors in concrete structures H. Walter*, L. Baillet** & M. Brunet* *Laboratoire de Mecanique des Solides **Laboratoire de Mecanique des Contacts-CNRS UMR 5514 Institut
More informationThis guide is made for non-experienced FEA users. It provides basic knowledge needed to start your fatigue calculations quickly.
Quick Fatigue Analysis Guide This guide is made for non-experienced FEA users. It provides basic knowledge needed to start your fatigue calculations quickly. Experienced FEA analysts can also use this
More informationModelling Localisation and Spatial Scaling of Constitutive Behaviour: a Kinematically Enriched Continuum Approach
Modelling Localisation and Spatial Scaling of Constitutive Behaviour: a Kinematically Enriched Continuum Approach Giang Dinh Nguyen, Chi Thanh Nguyen, Vinh Phu Nguyen School of Civil, Environmental and
More informationBulk Metal Forming II
Bulk Metal Forming II Simulation Techniques in Manufacturing Technology Lecture 2 Laboratory for Machine Tools and Production Engineering Chair of Manufacturing Technology Prof. Dr.-Ing. Dr.-Ing. E.h.
More informationANSYS Mechanical Basic Structural Nonlinearities
Lecture 4 Rate Independent Plasticity ANSYS Mechanical Basic Structural Nonlinearities 1 Chapter Overview The following will be covered in this Chapter: A. Background Elasticity/Plasticity B. Yield Criteria
More informationClassical fracture and failure hypotheses
: Chapter 2 Classical fracture and failure hypotheses In this chapter, a brief outline on classical fracture and failure hypotheses for materials under static loading will be given. The word classical
More informationIntroduction to Aerospace Engineering
Introduction to Aerospace Engineering Lecture slides Challenge the future 1 Aircraft & spacecraft loads Translating loads to stresses Faculty of Aerospace Engineering 29-11-2011 Delft University of Technology
More informationME111 Instructor: Peter Pinsky Class #21 November 13, 2000
Toda s Topics ME Instructor: Peter Pinsk Class # November,. Consider two designs of a lug wrench for an automobile: (a) single ended, (b) double ended. The distance between points A and B is in. and the
More informationChapter 2 A Continuum Damage Model Based on Experiments and Numerical Simulations A Review
Chapter 2 A Continuum Damage Model Based on Experiments and Numerical Simulations A Review Michael Brünig Abstract The paper summarizes the author s activities in the field of damage mechanics. In this
More informationIMECE CRACK TUNNELING: EFFECT OF STRESS CONSTRAINT
Proceedings of IMECE04 2004 ASME International Mechanical Engineering Congress November 13-20, 2004, Anaheim, California USA IMECE2004-60700 CRACK TUNNELING: EFFECT OF STRESS CONSTRAINT Jianzheng Zuo Department
More informationModelling of bird strike on the engine fan blades using FE-SPH
Modelling of bird strike on the engine fan blades using FE-SPH Dr Nenad Djordjevic* Prof Rade Vignjevic Dr Tom De Vuyst Dr James Campbell Dr Kevin Hughes *nenad.djordjevic@brunel.ac.uk MAFELAP 2016, 17
More informationA Standardized Mechanism to Validate Crash Models for Ductile Plastics
A Standardized Mechanism to Validate Crash Models for Ductile Plastics Megan Lobdell, Brian Croop Hubert Lobo DatapointLabs Technical Center for Materials expert material testing CAE material parameters
More informationBallistic behavior of steel sheets subjected to impact and perforation
Ballistic behavior of steel sheets subjected to impact and perforation *T. Jankowiak 1), K.M. Kpenyigba 2), R. Pesci 3), A. Rusinek 4) 1) Institute of Structural Engineering, PUT, Poznan, Poland 2), 4)
More informationCONSIDERATIONS CONCERNING YIELD CRITERIA INSENSITIVE TO HYDROSTATIC PRESSURE
CONSIDERATIONS CONCERNING YIELD CRITERIA INSENSITIVE TO HYDROSTATIC PRESSURE ADRIAN SANDOVICI, PAUL-DORU BARSANESCU Abstract. For distinguishing between pressure insensitive and pressure sensitive criteria,
More informationFCP Short Course. Ductile and Brittle Fracture. Stephen D. Downing. Mechanical Science and Engineering
FCP Short Course Ductile and Brittle Fracture Stephen D. Downing Mechanical Science and Engineering 001-015 University of Illinois Board of Trustees, All Rights Reserved Agenda Limit theorems Plane Stress
More informationNonlinear Analysis of Reinforced Concrete Shells Subjected to Impact Loads
Transactions of the 7 th International Conference on Structural Mechanics in Reactor Technology (SMiRT 7) Prague, Czech Republic, August 7, 00 Paper # J0- Nonlinear Analysis of Reinforced Concrete Shells
More informationNumerical Simulation of Fatigue Crack Growth: Cohesive Zone Models vs. XFEM
Numerical Simulation of Fatigue Crack Growth: Cohesive Zone Models vs. XFEM Thomas Siegmund Purdue University 1 Funding JOINT CENTER OF EXCELLENCE for ADVANCED MATERIALS, FAA Cooperative Agreement 04-C-AM-PU.
More informationA FAILURE CRITERION FOR POLYMERS AND SOFT BIOLOGICAL MATERIALS
Material Technology A FALURE CRTERON FOR POLYMERS AND SOFT BOLOGCAL MATERALS Authors: William W. Feng John O. Hallquist Livermore Software Technology Corp. 7374 Las Positas Road Livermore, CA 94550 USA
More informationModule-4. Mechanical Properties of Metals
Module-4 Mechanical Properties of Metals Contents ) Elastic deformation and Plastic deformation ) Interpretation of tensile stress-strain curves 3) Yielding under multi-axial stress, Yield criteria, Macroscopic
More informationNUMERICAL SIMULATION OF SPIRAL-STRAND CABLES SUBJECTED TO HIGH VELOCITY FRAGMENT IMPACT
8 th European LS-DYNA Users Conference, Strasbourg, May 2011 NUMERICAL SIMULATION OF SPIRAL-STRAND CABLES SUBJECTED TO HIGH VELOCITY FRAGMENT IMPACT *R. Judge 1,2, Z. Yang 1, S.W. Jones 1 & G. Beattie
More informationDurability of bonded aircraft structure. AMTAS Fall 2016 meeting October 27 th 2016 Seattle, WA
Durability of bonded aircraft structure AMTAS Fall 216 meeting October 27 th 216 Seattle, WA Durability of Bonded Aircraft Structure Motivation and Key Issues: Adhesive bonding is a key path towards reduced
More informationLecture Triaxial Stress and Yield Criteria. When does yielding occurs in multi-axial stress states?
Lecture 5.11 Triaial Stress and Yield Criteria When does ielding occurs in multi-aial stress states? Representing stress as a tensor operational stress sstem Compressive stress sstems Triaial stresses:
More informationWORKSHOP Introduction to material characterization
WORKSHOP Introduction to material characterization Martin Helbig, David Koch DYNAmore GmbH, Germany 15 th German LS-DYNA Forum 2018 Bamberg, October 15, 2018 1 Motivation Example of material usage in a
More informationSimulation of Impact and Fragmentation with the Material Point Method
Simulation of Impact and Fragmentation with the Material Point Method Biswajit Banerjee J. Guilkey, T. Harman, J. Schmidt, P. McMurtry Center for the Simulation of Accidental Fires and xplosions University
More informationMAE 322 Machine Design. Dr. Hodge Jenkins Mercer University
MAE 322 Machine Design Dr. Hodge Jenkins Mercer University What is this Machine Design course really about? What you will learn: How to design machine elements 1) Design so they won t break under varying
More informationTABLE OF CONTENTS CHAPTER TITLE PAGE DECLARATION DEDICATION ACKNOWLEDGEMENT ABSTRACT ABSTRAK
vii TABLE OF CONTENTS CHAPTER TITLE PAGE DECLARATION DEDICATION ACKNOWLEDGEMENT ABSTRACT ABSTRAK TABLE OF CONTENTS LIST OF TABLES LIST OF FIGURES LIST OF ABBREVIATIONS LIST OF SYMBOLS ii iii iv v vi vii
More informationSTRUCTURAL ANALYSIS OF THE LIFTING DEVICE DETECTOR SUPPORTS FOR THE LHCb VERTEX LOCATOR (VELO)
National Institute for Nuclear Physics and High Energy Physics Kruislaan 409 1098 SJ Amsterdam The Netherlands NIKHEF Reference no.: MT-VELO 04-2 EDMS no: 466608 OF THE LIFTING DEVICE DETECTOR SUPPORTS
More information2 Constitutive Models of Creep
2 Constitutive Models of Creep Analysis of creep in engineering structures requires the formulation and the solution of an initial-boundary value problem including the balance equations and the constitutive
More informationAn overview of Carbon Fiber modeling in LS-DYNA. John Zhao October 23 th 2017
An overview of Carbon Fiber modeling in LS-DYNA John Zhao zhao@lstc.com October 23 th 2017 Outline Manufacturing of Carbon Fiber Compression molding *MAT_277 & 278 *MAT_293 *MAT_249 Resin transform molding
More informationAnisotropy and Failure Modeling for Nonlinear Strain. Paths and Its Application to Rigid Packaging. Robert Earl Dick (B.S.C.E, M.S.C.
Anisotropy and Failure Modeling for Nonlinear Strain Paths and Its Application to Rigid Packaging by Robert Earl Dick (B.S.C.E, M.S.C.E) Advisor: Jeong Whan Yoon Submitted in fulfillment of the requirements
More informationPractice Final Examination. Please initial the statement below to show that you have read it
EN175: Advanced Mechanics of Solids Practice Final Examination School of Engineering Brown University NAME: General Instructions No collaboration of any kind is permitted on this examination. You may use
More informationModule 5: Theories of Failure
Module 5: Theories of Failure Objectives: The objectives/outcomes of this lecture on Theories of Failure is to enable students for 1. Recognize loading on Structural Members/Machine elements and allowable
More informationMicroplane Model formulation ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary
Microplane Model formulation 2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary Table of Content Engineering relevance Theory Material model input in ANSYS Difference with current concrete
More informationExperimental and theoretical characterization of Li 2 TiO 3 and Li 4 SiO 4 pebbles
Experimental and theoretical characterization of Li 2 TiO 3 and Li 4 SiO 4 s D. Aquaro 1 N. Zaccari ABSTRACT Dipartimento di Ingegneria Meccanica Nucleare e della Produzione University of Pisa (Italy)
More informationAfter lecture 16 you should be able to
Lecture 16: Design of paper and board packaging Advanced concepts: FEM, Fracture Mechanics After lecture 16 you should be able to describe the finite element method and its use for paper- based industry
More informationBone Tissue Mechanics
Bone Tissue Mechanics João Folgado Paulo R. Fernandes Instituto Superior Técnico, 2016 PART 1 and 2 Introduction The objective of this course is to study basic concepts on hard tissue mechanics. Hard tissue
More informationTHE BEHAVIOUR OF REINFORCED CONCRETE AS DEPICTED IN FINITE ELEMENT ANALYSIS.
THE BEHAVIOUR OF REINFORCED CONCRETE AS DEPICTED IN FINITE ELEMENT ANALYSIS. THE CASE OF A TERRACE UNIT. John N Karadelis 1. INTRODUCTION. Aim to replicate the behaviour of reinforced concrete in a multi-scale
More informationFor ASME Committee use only.
ð15þ KD-232 PROTECTION AGAINST LOCAL FAILURE In addition to demonstrating protection against plastic collapse as defined in KD-231, the local failure criteria below shall be satisfied. KD-232.1 Elastic
More informationModelling the nonlinear shear stress-strain response of glass fibrereinforced composites. Part II: Model development and finite element simulations
Modelling the nonlinear shear stress-strain response of glass fibrereinforced composites. Part II: Model development and finite element simulations W. Van Paepegem *, I. De Baere and J. Degrieck Ghent
More informationSimulations of necking during plane strain tensile tests
J. Phys. IV France 134 (2006) 429 434 C EDP Sciences, Les Ulis DOI: 10.1051/jp4:2006134066 Simulations of necking during plane strain tensile tests F. Dalle 1 1 CEA/DAM Île de France, BP. 12, 91680 Bruyères-le-Châtel,
More informationMultiaxial Fatigue Life Prediction Methods for Notched Bars of Ti-6Al-4V ABSTRACT
Multiaxial Fatigue Life Prediction Methods for Notched Bars of Ti-6Al-4V Dr. Alan Kallmeyer 1, Mr. Ahmo Krgo 1, and Dr. Peter Kurath 2 1 Department of Mechanical Engineering, North Dakota State University,
More informationShort Introduction of a New Generalized Damage Model
Short Introduction of a New Generalized Damage Model Tobias Erhart 1, Paul Du Bois 2, Filipe Andrade 1 1 Dynamore GmbH, Stuttgart 2 Consulting Engineer, Offenbach 1 Introduction Sound numerical models
More informationTensor Transformations and the Maximum Shear Stress. (Draft 1, 1/28/07)
Tensor Transformations and the Maximum Shear Stress (Draft 1, 1/28/07) Introduction The order of a tensor is the number of subscripts it has. For each subscript it is multiplied by a direction cosine array
More informationLecture #6: 3D Rate-independent Plasticity (cont.) Pressure-dependent plasticity
Lecture #6: 3D Rate-independent Plasticity (cont.) Pressure-dependent plasticity by Borja Erice and Dirk Mohr ETH Zurich, Department of Mechanical and Process Engineering, Chair of Computational Modeling
More informationLS-DYNA Turbine Blade-Out (Disk Burst) Containment Analysis
Title: LS-DYNA FEA Turbine Blade-Out (Disk Burst) Containment Simulation Keywords: LS-DYNA, burst, burst containment, nonlinear analysis, transient, dynamic, element erosion, damage prediction, contact
More information