Holdings: Extended finite element method for fracture analysis of structures

$Extended finite element method for fracture analysis of structures$

Extended finite element method for fracture analysis of structures:

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Bibliographic Details
Main Author:	Mohammadi, Soheil (Author)
Format:	Book
Language:	English
Published:	Oxford [u.a.] Blackwell Publ. 2008
Edition:	1. publ.
Subjects:	Fracture mechanics Finite element method Finite-Elemente-Methode Bruchmechanik
Online Access:	Table of contents only Inhaltsverzeichnis
Physical Description:	XVII, 261 S. graph. Darst.
ISBN:	1405170603 9781405170604

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adam_text	EXTENDED FINITE ELEMENT METHOD FOR FRACTURE ANALYSIS OF STRUCTURES SOHEIL MOHAMMADI SCHOOL OF CIVIL ENGINEERING UNIVERSITY OF TEHRAN TEHRAN, IRAN BLACKWELL PUBLISHING CONTENTS DEDICATION VIII PREFACE IX NOMENCLATURE XI CHAPTER 1 INTRODUCTION 1.1 ANALYSIS OF STRUCTURES 1 1.2 ANALYSIS OF DISCONTINUITIES 2 1.3 FRACTURE MECHANICS 3 1.4 CRACK MODELLING 3 1.4.1 LOCAL AND NON-LOCAL MODEIS 4 1.4.2 SMEARED CRACK MODEL 4 1.4.3 DISCRETE INTER-ELEMENT CRACK 6 1.4.4 DISCRETE CRACKED ELEMENT 6 1.4.5 SINGULAR ELEMENTS 6 1.4.6 ENRICHED ELEMENTS 7 1.5 ALTERNATIVE TECHNIQUES 7 1.6 A REVIEW OF XFEM APPLICATIONS 7 1.6.1 GENERAL ASPECTS OF XFEM 7 1.6.2 LOCALISATION AND FRACTURE 8 1.6.3 COMPOSITES _ 9 1.6.4 CONTACT 9 1.6.5 DYNAMICS 9 1.6.6 LARGE DEFORMATION/SHELLS 10 1.6.7 MULTISCALE 10 1.6.8 MULTIPHASE/SOLIDIFICATION 10 1.7 SCOPE OF THE BOOK 11 CHAPTER 2 FRACTURE MECHANICS, A REVIEW 2.1 INTRODUCTION 13 2.2 BASICS OF ELASTICITY 14 2.2.1 STRESS-STRAIN RELATIONS 14 2.2.2 AIRY STRESS FUNCTION 17 2.2.3 COMPLEX STRESS FUNCTIONS 18 2.3 BASICS OF LEFM 19 2.3.1 FRACTURE MECHANICS 19 2.3.2 CIRCULAR HOLE 20 2.3.3 ELLIPTICAL HOLE 21 2.3.4 WESTERGAARD ANALYSIS OF A SHARP CRACK 22 CONTENTS 2.4 STRESS INTENSITY FACTOR, K 24 2.4.1 DEFINITION OF THE STRESS INTENSITY FACTOR 24 2.4.2 EXAMPLES OF STRESS INTENSITY FACTORS FOR LEFM 28 2.4.3 GRIFFITH THEORIES OF STRENGTH AND ENERGY 29 2.4.4 BRITTLE MATERIAL 30 2.4.5 QUASI-BRITTLE MATERIAL 32 2.4.6 CRACK STABILITY 32 2.4.7 FIXED GRIP VERSUS FIXED LOAD 33 2.4.8 MIXED MODE CRACK PROPAGATION 34 2.5 SOLUTION PROCEDURES FOR K AND G 38 2.5.1 DISPLACEMENT EXTRAPOLATION/CORRELATION METHOD 38 2.5.2 MODE I ENERGY RELEASE RATE 39 2.5.3 MODE I STIFFNESS DERIVATIVE/VIRTUAL CRACK MODEL 40 2.5.4 TWO VIRTUAL CRACK EXTENSIONS FOR MIXED MODE CASES 41 2.5.5 SINGLE VIRTUAL CRACK EXTENSION BASED ON DISPLACEMENT DECOMPOSITION 42 2.5.6 QUARTER POINT SINGULAR ELEMENTS 43 2.6 ELASTOPLASTIC FRACTURE MECHANICS (EPFM) 47 2.6.1 PLASTIC ZONE 47 2.6.2 CRACK TIP OPENING DISPLACEMENTS (CTOD) 50 2.6.3 /INTEGRAL 51 2.6.4 PLASTIC CRACK TIP FIELDS 54 2.6.5 GENERALISATION OF J 55 2.7 NUMERICAL METHODS BASED ON THE J INTEGRAL 56 2.7.1 NODAL SOLUTION 56 2.7.2 GENERAL FINITE DEMENT SOLUTION 57 2.7.3 EQUIVALENT DOMAIN INTEGRAL (EDI) METHOD 59 2.7.4 INTERACTION INTEGRAL METHOD 59 CHAPTER 3 EXTENDED FINITE ELEMENT METHOD FOR ISOTROPIE PROBLEMS 3.1 INTRODUCTION 61 3.2 A REVIEW OF XFEM DEVELOPMENT 61 3.3 BASICS OF FEM 65 3.3.1 ISOPARAMETRIC FINITE ELEMENTS, A SHORT REVIEW 65 3.3.2 FINITE DEMENT SOLUTIONS FOR FRACTURE MECHANICS 67 3.4 PARTITION OF UNITY 68 3.5 ENRICHMENT 69 3.5.1 INTRINSIC ENRICHMENT 70 3.5.2 EXTRINSIC ENRICHMENT 71 3.5.3 PARTITION OF UNITY FINITE DEMENT METHOD 72 3.5.4 GENERALISED FINITE DEMENT METHOD 73 3.5.5 EXTENDED FINITE ELEMENT METHOD 73 3.5.6 HP-CLOUDS ENRICHMENT 73 3.5.7 GENERALISATION OF THE PU ENRICHMENT 74 3.5.8 TRANSITION FROM STANDARD TO ENRICHED APPROXIMATION 74 3.6 ISOTROPIC XFEM 76 3.6.1 BASIC XFEM APPROXIMATION 76 3.6.2 SIGNED DISTANCE FUNCTION 78 3.6.3 MODELLING STRONG DISCONTINUOUS FIELDS 78 3.6.4 MODELLING WEAK DISCONTINUOUS FIELDS 85 CONTENTS V 3.6.5 PLASTIC ENRICHMENT 86 3.6.6 SELECTION OF NODES FOR DISCONTINUITY ENRICHMENT 87 3.6.7 MODELLING THE CRACK 90 3.7 DISCRETIZATION AND INTEGRATION 90 3.7.1 GOVERNING EQUATION 90 3.7.2 XFEM DISCRETIZATION 91 3.7.3 ELEMENT PARTITIONING AND NUMERICAL INTEGRATION 95 3.7.4 CRACK INTERSECTION 96 3.8 TRACKING MOVING BOUNDARIES 97 3.8.1 LEVEL SETMETHOD 98 3.8.2 FAST MARCHING METHOD 105 3.8.3 ORDERED UPWIND METHOD 108 3.9 NUMERICAL SIMULATIONS 109 3.9.1 A TENSILE PLATE WITH A CENTRAL CRACK 109 3.9.2 DOUBLE EDGE CRACKS 111 3.9.3 DOUBLE INTERNAL COLLINEAR CRACKS 112 3.9.4 A CENTRAL CRACK IN AN INFINITE PLATE 114 3.9.5 AN EDGE CRACK IN A FINITE PLATE 115 CHAPTER 4 XFEM FOR ORTHOTROPIC PROBLEMS 4.1 INTRODUCTION 117 4.2 ANISOTROPIC ELASTICITY 118 4.2.1 ELASTICITY SOLUTION 118 4.2.2 ANISOTROPIE STRESS FUNETIONS 120 4.2.3 ORTHOTROPIC MIXED MODE PROBLEMS 121 4.2.4 ENERGY RELEASE RATE AND STRESS INTENSITY FACTOR FOR ANISOTROPIC MATERIALS 122 4.2.5 ANISOTROPIC SINGULAR ELEMENTS 123 4.3 ANALYTICAL SOLUTIONS FOR NEAR CRACK TIP 124 4.3.1 NEAR CRACK TIP DISPLACEMENT FIELD (CLASS I) 124 4.3.2 NEAR CRACK TIP DISPLACEMENT FIELD (CLASS II) 128 4.3.3 UNIFIED NEAR CRACK TIP DISPLACEMENT FIELD (BOTH CLASSES) 131 4.4 ANISOTROPIC XFEM 134 4.4.1 GOVERNING EQUATION 134 4.4.2 XFEM DISCRETIZATION 135 4.4.3 SIF CALCULATIONS 137 4.5 NUMERICAL SIMULATIONS 140 4.5.1 PLATE WITH A CRACK PARALLEL TO MATERIAL AXIS OF ORTHOTROPY 142 4.5.2 EDGE CRACK WITH SEVERAL ORIENTATIONS OF THE AXES OF ORTHOTROPY 144 4.5.3 SINGLE EDGE NOTEHED TENSILE SPEEIMEN WITH CRACK INCLINATION 147 4.5.4 CENTRAL SLANTED CRACK 150 4.5.5 AN INCLINED CENTRE CRACK IN A DISK SUBJECTED TO POINT LOADS 156 4.5.6 A CRACK BETWEEN ORTHOTROPIC AND ISOTROPIC MATERIALS SUBJECTED TO TENSILE TRACTIONS 160 CHAPTER 5 XFEM FOR COHESIVE CRACKS 5.1 INTRODUCTION 163 5.2 COHESIVE CRACKS 164 5.2.1 COHESIVE CRACK MODEIS 166 CONTENTS 5.2.2 NUMERICAL MODEIS FOR COHESIVE CRACKS 168 5.2.3 CRACK PROPAGATION CRITERIA 172 5.2.4 SNAP-BACK BEHAVIOUR 173 5.2.5 GRIFFITH CRITERION FOR COHESIVE CRACK 174 5.2.6 COHESIVE CRACK MODEL 175 5.3 XFEM FOR COHESIVE CRACKS 176 5.3.1 ENRICHMENT FUNCTIONS 176 5.3.2 GOVERNING EQUATIONS 179 5.3.3 XFEM DISCRETIZATION 181 5.4 NUMERICAL SIMULATIONS 183 5.4.1 MIXED MODE BENDING BEAM 183 5.4.2 FOUR POINT BENDING BEAM 184 5.4.3 DOUBLE CANTILEVER BEAM 187 CHAPTER 6 NEW FRONTIERS 6.1 INTRODUCTION 189 6.2 INTERFACE CRACKS 190 6.2.1 ELASTICITY SOLUTION FOR ISOTROPIC BIMATERIAL INTERFACE 190 6.2.2 STABILITYOF INTERFACE CRACKS 191 6.2.3 XFEM APPROXIMATION FOR INTERFACE CRACKS 193 6.3 CONTACT 194 6.3.1 NUMERICAL MODEIS FOR A CONTACT PROBLEM 194 6.3.2 XFEM MODELLING OF A CONTACT PROBLEM 195 6.4 DYNAMIC FRACTURE 198 6.4.1 DYNAMIC CRACK PROPAGATION BY XFEM 198 6.4.2 DYNAMIC LEFM 199 6.4.3 DYNAMIC ORTHOTROPIC LEFM 200 6.4.4 BASIC FORMULATION OF DYNAMIC XFEM 202 6.4.5 XFEM DISCRETIZATION 203 6.4.6 TIME INTEGRATION 205 6.4.7 TIME FINITE ELEMENT METHOD 206 6.4.8 TIME EXTENDED FINITE ELEMENT METHOD 207 6.5 MULTISCALE XFEM 207 6.5.1 BASIC FORMULATION 207 6.5.2 THE ZOOM TECHNIQUE 208 6.5.3 HOMOGENISATION BASED TECHNIQUES 209 6.5.4 XFEM DISCRETIZATION 210 6.6 MULTIPHASE XFEM 211 6.6.1 BASIC FORMULATION 211 6.6.2 XFEM APPROXIMATION 212 6.6.3 TWO-PHASE FLUID FLOW 214 6.6.4 XFEM APPROXIMATION 215 CHAPTER 7 XFEM FLOW 7.1 INTRODUCTION 219 7.2 AVAILABLE OPEN-SOURCE XFEM 220 7.3. FINITE ELEMENT ANALYSIS 220 7.3.1 DEFINING THE MODEL 220 CONTENTS VU 7.3.2 CREATING THE FINITE DEMENT MESH 7.3.3 LINEAR ELASTIC ANALYSIS 7.3.4 LARGE DEFORMATION 7.3.5 NONLINEAR (ELASTOPLASTIC) ANALYSIS 7.3.6 MATERIAL CONSTITUTIVE MATRIX XFEM 7.4.1 FRONT TRACKING 7.4.2 ENRICHMENT DETECTION 7.4.3 ENRICHMENT FUNCTIONS 7.4.4 RAMP (TRANSITION) FUNCTIONS 7.4.5 EVALUATION OF THE B MATRIX NUMERICAL INTEGRATION 7.5.1 SUB-QUADS 7.5.2 SUB-TRIANGLES SOLVER 7.6.1 XFEM DEGREES OF FREEDOM 7.6.2 TIME INTEGRATION 7.6.3 SIMULTANEOUS EQUATIONS SOLVER 7.6.4 CRACK LENGTH CONTROL POST-PROCESSING 7.7.1 STRESS INTENSITY FACTOR 7.7.2 CRACK GROWTH 7.7.3 OTHER APPLICATIONS CONFIGURATION UPDATE 220 221 221 222 223 223 223 225 226 229 229 229 230 230 231 231 231 232 232 233 233 233 234 234 REFERENCES INDEX 235 249
adam_txt	EXTENDED FINITE ELEMENT METHOD FOR FRACTURE ANALYSIS OF STRUCTURES SOHEIL MOHAMMADI SCHOOL OF CIVIL ENGINEERING UNIVERSITY OF TEHRAN TEHRAN, IRAN BLACKWELL PUBLISHING CONTENTS DEDICATION VIII PREFACE IX NOMENCLATURE XI CHAPTER 1 INTRODUCTION 1.1 ANALYSIS OF STRUCTURES 1 1.2 ANALYSIS OF DISCONTINUITIES 2 1.3 FRACTURE MECHANICS 3 1.4 CRACK MODELLING 3 1.4.1 LOCAL AND NON-LOCAL MODEIS 4 1.4.2 SMEARED CRACK MODEL 4 1.4.3 DISCRETE INTER-ELEMENT CRACK 6 1.4.4 DISCRETE CRACKED ELEMENT 6 1.4.5 SINGULAR ELEMENTS 6 1.4.6 ENRICHED ELEMENTS 7 1.5 ALTERNATIVE TECHNIQUES 7 1.6 A REVIEW OF XFEM APPLICATIONS 7 1.6.1 GENERAL ASPECTS OF XFEM 7 1.6.2 LOCALISATION AND FRACTURE 8 1.6.3 COMPOSITES _ 9 1.6.4 CONTACT 9 1.6.5 DYNAMICS 9 1.6.6 LARGE DEFORMATION/SHELLS 10 1.6.7 MULTISCALE 10 1.6.8 MULTIPHASE/SOLIDIFICATION 10 1.7 SCOPE OF THE BOOK 11 CHAPTER 2 FRACTURE MECHANICS, A REVIEW 2.1 INTRODUCTION 13 2.2 BASICS OF ELASTICITY 14 2.2.1 STRESS-STRAIN RELATIONS 14 2.2.2 AIRY STRESS FUNCTION 17 2.2.3 COMPLEX STRESS FUNCTIONS 18 2.3 BASICS OF LEFM 19 2.3.1 FRACTURE MECHANICS 19 2.3.2 CIRCULAR HOLE 20 2.3.3 ELLIPTICAL HOLE 21 2.3.4 WESTERGAARD ANALYSIS OF A SHARP CRACK 22 CONTENTS 2.4 STRESS INTENSITY FACTOR, K 24 2.4.1 DEFINITION OF THE STRESS INTENSITY FACTOR 24 2.4.2 EXAMPLES OF STRESS INTENSITY FACTORS FOR LEFM 28 2.4.3 GRIFFITH THEORIES OF STRENGTH AND ENERGY 29 2.4.4 BRITTLE MATERIAL 30 2.4.5 QUASI-BRITTLE MATERIAL 32 2.4.6 CRACK STABILITY 32 2.4.7 FIXED GRIP VERSUS FIXED LOAD 33 2.4.8 MIXED MODE CRACK PROPAGATION 34 2.5 SOLUTION PROCEDURES FOR K AND G 38 2.5.1 DISPLACEMENT EXTRAPOLATION/CORRELATION METHOD 38 2.5.2 MODE I ENERGY RELEASE RATE 39 2.5.3 MODE I STIFFNESS DERIVATIVE/VIRTUAL CRACK MODEL 40 2.5.4 TWO VIRTUAL CRACK EXTENSIONS FOR MIXED MODE CASES 41 2.5.5 SINGLE VIRTUAL CRACK EXTENSION BASED ON DISPLACEMENT DECOMPOSITION 42 2.5.6 QUARTER POINT SINGULAR ELEMENTS 43 2.6 ELASTOPLASTIC FRACTURE MECHANICS (EPFM) 47 2.6.1 PLASTIC ZONE 47 2.6.2 CRACK TIP OPENING DISPLACEMENTS (CTOD) 50 2.6.3 /INTEGRAL 51 2.6.4 PLASTIC CRACK TIP FIELDS 54 2.6.5 GENERALISATION OF J 55 2.7 NUMERICAL METHODS BASED ON THE J INTEGRAL 56 2.7.1 NODAL SOLUTION 56 2.7.2 GENERAL FINITE DEMENT SOLUTION 57 2.7.3 EQUIVALENT DOMAIN INTEGRAL (EDI) METHOD 59 2.7.4 INTERACTION INTEGRAL METHOD 59 CHAPTER 3 EXTENDED FINITE ELEMENT METHOD FOR ISOTROPIE PROBLEMS 3.1 INTRODUCTION 61 3.2 A REVIEW OF XFEM DEVELOPMENT 61 3.3 BASICS OF FEM 65 3.3.1 ISOPARAMETRIC FINITE ELEMENTS, A SHORT REVIEW 65 3.3.2 FINITE DEMENT SOLUTIONS FOR FRACTURE MECHANICS 67 3.4 PARTITION OF UNITY 68 3.5 ENRICHMENT 69 3.5.1 INTRINSIC ENRICHMENT 70 3.5.2 EXTRINSIC ENRICHMENT 71 3.5.3 PARTITION OF UNITY FINITE DEMENT METHOD 72 3.5.4 GENERALISED FINITE DEMENT METHOD 73 3.5.5 EXTENDED FINITE ELEMENT METHOD 73 3.5.6 HP-CLOUDS ENRICHMENT 73 3.5.7 GENERALISATION OF THE PU ENRICHMENT 74 3.5.8 TRANSITION FROM STANDARD TO ENRICHED APPROXIMATION 74 3.6 ISOTROPIC XFEM 76 3.6.1 BASIC XFEM APPROXIMATION 76 3.6.2 SIGNED DISTANCE FUNCTION 78 3.6.3 MODELLING STRONG DISCONTINUOUS FIELDS 78 3.6.4 MODELLING WEAK DISCONTINUOUS FIELDS 85 CONTENTS V 3.6.5 PLASTIC ENRICHMENT 86 3.6.6 SELECTION OF NODES FOR DISCONTINUITY ENRICHMENT 87 3.6.7 MODELLING THE CRACK 90 3.7 DISCRETIZATION AND INTEGRATION 90 3.7.1 GOVERNING EQUATION 90 3.7.2 XFEM DISCRETIZATION 91 3.7.3 ELEMENT PARTITIONING AND NUMERICAL INTEGRATION 95 3.7.4 CRACK INTERSECTION 96 3.8 TRACKING MOVING BOUNDARIES 97 3.8.1 LEVEL SETMETHOD 98 3.8.2 FAST MARCHING METHOD 105 3.8.3 ORDERED UPWIND METHOD 108 3.9 NUMERICAL SIMULATIONS 109 3.9.1 A TENSILE PLATE WITH A CENTRAL CRACK 109 3.9.2 DOUBLE EDGE CRACKS 111 3.9.3 DOUBLE INTERNAL COLLINEAR CRACKS 112 3.9.4 A CENTRAL CRACK IN AN INFINITE PLATE 114 3.9.5 AN EDGE CRACK IN A FINITE PLATE 115 CHAPTER 4 XFEM FOR ORTHOTROPIC PROBLEMS 4.1 INTRODUCTION 117 4.2 ANISOTROPIC ELASTICITY 118 4.2.1 ELASTICITY SOLUTION 118 4.2.2 ANISOTROPIE STRESS FUNETIONS 120 4.2.3 ORTHOTROPIC MIXED MODE PROBLEMS 121 4.2.4 ENERGY RELEASE RATE AND STRESS INTENSITY FACTOR FOR ANISOTROPIC MATERIALS 122 4.2.5 ANISOTROPIC SINGULAR ELEMENTS 123 4.3 ANALYTICAL SOLUTIONS FOR NEAR CRACK TIP 124 4.3.1 NEAR CRACK TIP DISPLACEMENT FIELD (CLASS I) 124 4.3.2 NEAR CRACK TIP DISPLACEMENT FIELD (CLASS II) 128 4.3.3 UNIFIED NEAR CRACK TIP DISPLACEMENT FIELD (BOTH CLASSES) 131 4.4 ANISOTROPIC XFEM 134 4.4.1 GOVERNING EQUATION 134 4.4.2 XFEM DISCRETIZATION 135 4.4.3 SIF CALCULATIONS 137 4.5 NUMERICAL SIMULATIONS 140 4.5.1 PLATE WITH A CRACK PARALLEL TO MATERIAL AXIS OF ORTHOTROPY 142 4.5.2 EDGE CRACK WITH SEVERAL ORIENTATIONS OF THE AXES OF ORTHOTROPY 144 4.5.3 SINGLE EDGE NOTEHED TENSILE SPEEIMEN WITH CRACK INCLINATION 147 4.5.4 CENTRAL SLANTED CRACK 150 4.5.5 AN INCLINED CENTRE CRACK IN A DISK SUBJECTED TO POINT LOADS 156 4.5.6 A CRACK BETWEEN ORTHOTROPIC AND ISOTROPIC MATERIALS SUBJECTED TO TENSILE TRACTIONS 160 CHAPTER 5 XFEM FOR COHESIVE CRACKS 5.1 INTRODUCTION 163 5.2 COHESIVE CRACKS 164 5.2.1 COHESIVE CRACK MODEIS 166 CONTENTS 5.2.2 NUMERICAL MODEIS FOR COHESIVE CRACKS 168 5.2.3 CRACK PROPAGATION CRITERIA 172 5.2.4 SNAP-BACK BEHAVIOUR 173 5.2.5 GRIFFITH CRITERION FOR COHESIVE CRACK 174 5.2.6 COHESIVE CRACK MODEL 175 5.3 XFEM FOR COHESIVE CRACKS 176 5.3.1 ENRICHMENT FUNCTIONS 176 5.3.2 GOVERNING EQUATIONS 179 5.3.3 XFEM DISCRETIZATION 181 5.4 NUMERICAL SIMULATIONS 183 5.4.1 MIXED MODE BENDING BEAM 183 5.4.2 FOUR POINT BENDING BEAM 184 5.4.3 DOUBLE CANTILEVER BEAM 187 CHAPTER 6 NEW FRONTIERS 6.1 INTRODUCTION 189 6.2 INTERFACE CRACKS 190 6.2.1 ELASTICITY SOLUTION FOR ISOTROPIC BIMATERIAL INTERFACE 190 6.2.2 STABILITYOF INTERFACE CRACKS 191 6.2.3 XFEM APPROXIMATION FOR INTERFACE CRACKS 193 6.3 CONTACT 194 6.3.1 NUMERICAL MODEIS FOR A CONTACT PROBLEM 194 6.3.2 XFEM MODELLING OF A CONTACT PROBLEM 195 6.4 DYNAMIC FRACTURE 198 6.4.1 DYNAMIC CRACK PROPAGATION BY XFEM 198 6.4.2 DYNAMIC LEFM 199 6.4.3 DYNAMIC ORTHOTROPIC LEFM 200 6.4.4 BASIC FORMULATION OF DYNAMIC XFEM 202 6.4.5 XFEM DISCRETIZATION 203 6.4.6 TIME INTEGRATION 205 6.4.7 TIME FINITE ELEMENT METHOD 206 6.4.8 TIME EXTENDED FINITE ELEMENT METHOD 207 6.5 MULTISCALE XFEM 207 6.5.1 BASIC FORMULATION 207 6.5.2 THE ZOOM TECHNIQUE 208 6.5.3 HOMOGENISATION BASED TECHNIQUES 209 6.5.4 XFEM DISCRETIZATION 210 6.6 MULTIPHASE XFEM 211 6.6.1 BASIC FORMULATION 211 6.6.2 XFEM APPROXIMATION 212 6.6.3 TWO-PHASE FLUID FLOW 214 6.6.4 XFEM APPROXIMATION 215 CHAPTER 7 XFEM FLOW 7.1 INTRODUCTION 219 7.2 AVAILABLE OPEN-SOURCE XFEM 220 7.3. FINITE ELEMENT ANALYSIS 220 7.3.1 DEFINING THE MODEL 220 CONTENTS VU 7.3.2 CREATING THE FINITE DEMENT MESH 7.3.3 LINEAR ELASTIC ANALYSIS 7.3.4 LARGE DEFORMATION 7.3.5 NONLINEAR (ELASTOPLASTIC) ANALYSIS 7.3.6 MATERIAL CONSTITUTIVE MATRIX XFEM 7.4.1 FRONT TRACKING 7.4.2 ENRICHMENT DETECTION 7.4.3 ENRICHMENT FUNCTIONS 7.4.4 RAMP (TRANSITION) FUNCTIONS 7.4.5 EVALUATION OF THE B MATRIX NUMERICAL INTEGRATION 7.5.1 SUB-QUADS 7.5.2 SUB-TRIANGLES SOLVER 7.6.1 XFEM DEGREES OF FREEDOM 7.6.2 TIME INTEGRATION 7.6.3 SIMULTANEOUS EQUATIONS SOLVER 7.6.4 CRACK LENGTH CONTROL POST-PROCESSING 7.7.1 STRESS INTENSITY FACTOR 7.7.2 CRACK GROWTH 7.7.3 OTHER APPLICATIONS CONFIGURATION UPDATE 220 221 221 222 223 223 223 225 226 229 229 229 230 230 231 231 231 232 232 233 233 233 234 234 REFERENCES INDEX 235 249
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institution	BVB
isbn	1405170603 9781405170604
language	English
lccn	2007018717
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spelling	Mohammadi, Soheil Verfasser aut Extended finite element method for fracture analysis of structures Soheil Mohammadi 1. publ. Oxford [u.a.] Blackwell Publ. 2008 XVII, 261 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fracture mechanics Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 http://www.loc.gov/catdir/toc/ecip0717/2007018717.html Table of contents only GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016162989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Mohammadi, Soheil Extended finite element method for fracture analysis of structures Fracture mechanics Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Bruchmechanik (DE-588)4112837-0 gnd
subject_GND	(DE-588)4017233-8 (DE-588)4112837-0
title	Extended finite element method for fracture analysis of structures
title_auth	Extended finite element method for fracture analysis of structures
title_exact_search	Extended finite element method for fracture analysis of structures
title_exact_search_txtP	Extended finite element method for fracture analysis of structures
title_full	Extended finite element method for fracture analysis of structures Soheil Mohammadi
title_fullStr	Extended finite element method for fracture analysis of structures Soheil Mohammadi
title_full_unstemmed	Extended finite element method for fracture analysis of structures Soheil Mohammadi
title_short	Extended finite element method for fracture analysis of structures
title_sort	extended finite element method for fracture analysis of structures
topic	Fracture mechanics Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Bruchmechanik (DE-588)4112837-0 gnd
topic_facet	Fracture mechanics Finite element method Finite-Elemente-Methode Bruchmechanik
url	http://www.loc.gov/catdir/toc/ecip0717/2007018717.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016162989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT mohammadisoheil extendedfiniteelementmethodforfractureanalysisofstructures

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