Continuum damage mechanics and numerical applications:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hangzhou
Zhejiang Univ. Press
2010
Berlin ; Heidelberg Springer |
| Series: | Advanced topics in science and technology in China
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVIII, 923 S. IIll., graph. Darst. 24 cm |
| ISBN: | 9787308065894 9783642047077 |
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| 245 | 1 | 0 | |a Continuum damage mechanics and numerical applications |c Wohua Zhang ; Yuanqiang Cai |
| 264 | 1 | |a Hangzhou |b Zhejiang Univ. Press |c 2010 | |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer | |
| 300 | |a XVIII, 923 S. |b IIll., graph. Darst. |c 24 cm | ||
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| _version_ | 1804148551914094592 |
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| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
REFERENCES 10
2 REVIEW OF DAMAGE MECHANICS 15
2.1 DEVELOPMENT OF DAMAGE MECHANICS 15
2.2 SURVEY OF DAMAGE PHENOMENA 17
2.2.1 DIFFERENT DAMAGE DEFINITIONS DUE TO DIFFERENT MEASUREMENTS 17
2.2.2 DAMAGE DESCRIBED BY MICRO-CRACKS AND MACRO-CRACKS .. 21 2.2.3
DAMAGE DESCRIPTIONS BY CONSTRAINED CAVITY NUCLEATION AND GROWTH 24
2.2.4 DAMAGE STATE DESCRIBED BY CONTINUUM CAVITY GROWTH 24
2.2.5 DAMAGE STATE DESCRIBED BY DUCTILE VOID GROWTH 24 2.3 SURVEY OF
CONSTITUTIVE RELATIONS FOR DAMAGE 27
2.3.1 CONSTITUTIVE RELATIONS FOR DAMAGED MATERIALS 27 2.3.2 CONSTITUTIVE
MODELS FOR BRITTLE DAMAGE 29
2.3.3 CONSTITUTIVE MODELS FOR DUCTILE DAMAGE 29
2.3.4 CONSTITUTIVE MODELS FOR DAMAGE DUE TO SUPER-PLASTIC VOID GROWTH 31
2.3.5 CONSTITUTIVE MODELS FOR CREEP DAMAGE 32
2.3.6 CONSTITUTIVE MODELS FOR ANISOTROPIE DAMAGE 33 2.4 SURVEY OF
KINETIC EQUATIONS FOR DAMAGED MATERIALS 35 2.4.1 KINETIC BEHAVIORS DUE
TO MICRO-STRUCTURAL CHANGES . . .. 35 2.4.2 CREEP DAMAGE GROWTHS 36
2.4.3 DAMAGE EVOLUTION DUE TO CAVITY NUCLEATION AND GROWTH 37
2.4.4 DAMAGE EVOLUTION DUE TO SUPER-PLASTIC VOID GROWTH .. 38 2.4.5
BRITTLE AND DUCTILE DAMAGE GROWTH 40
2.4.6 FATIGUE DAMAGE GROWTHS 41
REFERENCES 43
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/996247254
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
3 BASIS OF ISOTROPIE DAMAGE MECHANICS 59
3.1 INTRODUCTION 59
3.2 ISOTROPIE DAMAGE VARIABLE 59
3.3 CONCEPT OF EFFECTIVE STRESS 60
3.4 DIFFERENT BASIC HYPOTHESIS OF DAMAGE MECHANICS 61 3.4.1 HYPOTHESIS
OF STRAIN EQUIVALENCE 61
3.4.2 HYPOTHESIS OF STRESS EQUIVALENCE 63
3.4.3 HYPOTHESIS OF ELASTIC ENERGY EQUIVALENCE 64
3.4.4 DAMAGE VARIABLES BASED ON THE TWO HYPOTHESES 68 3.5 THERMODYNAMIC
ASPECTS 70
3.5.1 FIRST AND SECOND LAWS OF THERMODYNAMICS 71
3.5.2 THERMODYNAMIC POTENTIAL AND DISSIPATION INEQUALITY .. 72 3.5.3
DISSIPATION POTENTIAL AND DUAL RELATIONSHIP 74 3.6 DAMAGE STRAIN ENERGY
RELEASE RATE 75
3.7 ISOTROPIE DAMAGE MODEL OF DOUBLE SCALAR VARIABLES 85 3.7.1
ALTERNATIVE APPROACH OF ISOTROPIE DAMAGE VARIABLES . .. 86 3.7.2
DIFFERENT FORMS OF ELASTIC DAMAGED STRESS-STRAIN RELATIONS 87
3.7.3 ISOTROPIE DOUBLE SCALAR DAMAGE VARIABLES 88
3.7.4 STRAIN ENERGY RELEASE RATE WITH DOUBLE SCALAR DAMAGE VARIABLES 96
3.7.5 DISCUSSIONS OF CHARACTERISTIC OF DOUBLE SCALARS DAMAGE MODEL 102
3.7.6 MODELING OF ALTERNATIVE DOUBLE SCALAR DAMAGE THEORY 108
3.8 GENERALIZED THEORY OF ISOTROPIE DAMAGE MECHANICS 119 3.8.1 MODELLING
OF GENERALIZED DAMAGE CONSTITUTIVE 120 3.8.2 DISCUSSION AND ANALYSIS OF
GENERALIZED DAMAGE MODEL. 124 3.8.3 ASPECTS OF DAMAGE EFFECTIVE
FUNCTIONS 125
3.8.4 DISSIPATIVE POTENTIAL AND DAMAGE EVOLUTION FOR GENERALIZED THEORY
130
REFERENCES 132
4 ISOTROPIE ELASTO-PLASTIC DAMAGE MECHANICS 135
4.1 INTRODUCTION 135
4.2 ASSOCIATED FLOW RULE MODEL 136
4.2.1 RE-EXPRESSION OF LEMAITRE S MODEL 136
4.2.2 DAMAGE EVOLUTION EQUATIONS 138
4.2.3 EVALUATED DAMAGE VARIABLES BY DIFFERENT HYPOTHESIS MODELS 142
4.3 NON-ASSOCIATED FLOW RULE MODEL 144
4.3.1 BASIC EQUATIONS OF ELASTO-PLASTICITY FOR ISOTROPIE DAMAGED
MATERIALS 144
4.3.2 STATIC ELASTO-PLASTIC DAMAGE MODEL WITHOUT DAMAGE GROWTH 146
IMAGE 3
CONTENTS XI
4.3.3 ELASTO-PLASTIC MODEL WITH DAMAGE GROWTH 147 4.3.4 NONLINEAR
KINETIC EVOLUTION EQUATIONS OF ELASTO-PLASTIC DAMAGE 149
4.3.5 MODEL OF COMBINED DISSIPATION POTENTIAL 152 4.4 DAMAGE PLASTIC
CRITERIA FOR NUMERICAL ANALYSIS 155 4.4.1 DAMAGE-PLASTIC POTENTIAL
FUNCTIONS 155
4.4.2 DAMAGE-PLASTIC YIELD FUNCTION 157
4.4.3 DIFFERENT MODELING OF DAMAGE YIELD CRITERIA 159 4.4.4 EXPRESSION
FOR NUMERICAL COMPUTATION 161
4.5 SHAKEDOWN UPPER BOUND MODEL OF ELASTO-PLASTIC DAMAGE . . .. 168
4.5.1 SIMPLIFIED DAMAGE CONSTITUTIVE MODEL 168
4.5.2 UPPER BOUND ON DAMAGE OF STRUCTURES 169
4.6 GRADUAL ANALYSIS OF DOUBLE SCALE ELASTO-PLASTIC DAMAGE MECHANICS 172
4.6.1 GRADUAL CONSTITUTIVE RELATION COUPLED WITH DOUBLE SCALE DAMAGE 172
4.6.2 DAMAGE EVOLUTION CRITERION BASED ON DOUBLE SCALE OF DAMAGE 174
4.6.3 DAMAGE EVOLUTION EQUATION-TIME TYPE 177 4.6.4 BASIC EQUATIONS AND
BOUNDARY CONDITIONS FOR SOLVING PROBLEMS 181
4.7 ANALYSIS OF COUPLED ISOTROPIE DAMAGE AND FRACTURE MECHANICS 183
4.7.1 GRADUAL ANALYSIS FOR DEVELOPING CRACK UNDER MONOTONOUS LOADING 183
4.7.2 BASIC EQUATION OF GRADUAL FIELD NEAR DEVELOPING CRACK 187
4.7.3 BOUNDARY CONDITION AND SOLUTION METHOD OF STUDIED PROBLEM 191
4.8 VERIFY ISOTROPIE DAMAGE MECHANICS MODEL BY NUMERICAL EXAMPLES 193
4.8.1 EXAMPLE OF BAR SPECIMEN 193
4.8.2 COMPRESSION OF PLASTIC DAMAGE BEHAVIOR BASED ON DIFFERENT
HYPOTHESIS 196
4.9 NUMERICAL APPLICATION FOR DAMAGED THICK WALLED CYLINDER . .. 198
4.9.1 PLASTIC DAMAGE ANALYSIS FOR DAMAGED THICK WALLED CYLINDER 198
4.9.2 ANALYSIS FOR LOCAL DAMAGE BEHAVIORS 201
4.9.3 ANALYSIS FOR DAMAGED THICK WALLED CYLINDER BASED ON SHAKEDOWN
THEORY 204
4.9.4 NUMERICAL RESULTS OF GRADUAL ANALYSIS FOR DEVELOPING CRACK UNDER
MONOTONOUS LOADING 208
REFERENCES 213
IMAGE 4
XII CONTENTS
5 BASIS OF ANISOTROPIE DAMAGE MECHANICS 217
5.1 INTRODUCTION 217
5.2 ANISOTROPIE DAMAGE TENSOR 218
5.2.1 MICRO DESCRIPTION OF DAMAGE ON GEOMETRY 218 5.2.2 DAMAGE TENSOR
ASSOCIATED WITH ONE GROUP OF CRACKS . 221 5.2.3 DAMAGE TENSOR ASSOCIATED
WITH MULTI-GROUPS OF CRACKS 224
5.3 PRINCIPAL ANISOTROPIE DAMAGE MODEL 225
5.3.1 THREE DIMENSIONAL SPACE 225
5.3.2 TWO DIMENSIONAL SPACE 230
5.4 DECOMPOSITION MODEL OF ANISOTROPIE DAMAGE TENSOR 232 5.4.1 REVIEW OF
DEFINITION OF DAMAGE VARIABLE 232
5.4.2 DECOMPOSITION OF DAMAGE VARIABLE IN ONE DIMENSION.. 233 5.4.3
DECOMPOSITION OF SYMMETRIZED ANISOTROPIE DAMAGE TENSOR IN 3-D 237
5.5 BASIC RELATIONS OF ANISOTROPIE DAMAGE BASED ON THERMODYNAMICS 241
5.5.1 FIRST AND SECOND LAWS OF THERMODYNAMICS OF ANISOTROPIE MATERIALS
241
5.5.2 THERMODYNAMIC POTENTIAL AND DISSIPATION INEQUALITY IN ANISOTROPY
242
5.5.3 DISSIPATION POTENTIAL AND DUAL RELATIONSHIP IN ANISOTROPY 244
5.5.4 DAMAGE STRAIN ENERGY RELEASE RATE OF ANISOTROPIE DAMAGE 245
5.6 ELASTIC CONSTITUTIVE MODEL FOR ANISOTROPIE DAMAGED MATERIALS 247
5.6.1 ELASTIC MATRIX OF DAMAGED MATERIALS IN THREE DIMENSIONS 247
5.6.2 ELASTIC MATRIX OF DAMAGED MATERIALS IN TWO DIMENSIONS 250
5.6.3 PROPERTY OF ANISOTROPIE DAMAGE ELASTIC MATRIX 255 5.7 DIFFERENT
MODELS OF DAMAGE EFFECTIVE MATRIX 257
5.7.1 PRINCIPAL DAMAGE EFFECTIVE MATRIX IN DIFFERENT SYMMETRIZATION
SCHEMES 257
5.7.2 MATRIX [&] EXPRESSED BY SECOND ORDER DAMAGE TENSOR IN DIFFERENT
SCHEMES 266
5.8 DIFFERENT MODELING OF DAMAGE STRAIN ENERGY RELEASE R A T E . . ..
279 5.8.1 OVERVIEW OF THE TOPIC 279
5.8.2 MODIFICATION OF [A ] BASED ON DIFFERENT SYMMETRIZATION MODELS 280
5.8.3 DIFFERENT FORMS OF DAMAGE STRAIN ENERGY RELEASE RATE 281 5.8.4
DISCUSSION AND CONCLUSIONS 288
5.9 EFFECTS OF SYMMETRIZATION OF NET-STRESS TENSOR IN ANISOTROPIE DAMAGE
MODELS 289
5.9.1 REVIEW OF SYMMETRIZATION MODELS 289
IMAGE 5
CONTENTS XIII
5.9.2 EFFECTS OF SYMMETRIZATION ON NET-STRESS TENSOR 291 5.9.3 INFLUENCE
OF SYMMETRIZATION ON DEVIATIOM NET-STRESS TENSOR 292
5.9.4 EFFECTS OF SYMMETRIZATION ON NET-STRESS INVARIANT 295 5.9.5
EFFECTS OF SYMMETRIZATION ON NET PRINCIPAL STRESSES AND DIRECTIONS 298
5.9.6 EFFECTS OF SYMMETRIZATION ON DAMAGE CONSTITUTIVE RELATIONS 303
5.10 SIMPLE DAMAGE EVOLUTION MODELING 307
5.10.1 DAMAGE KINETIC EQUATIONS 307
5.11 VERIFY ANISOTROPIE DAMAGE MODEL BY NUMERICAL MODELING . . .. 311
5.11.1 STIFFNESS MATRIX OF ANISOTROPIE ELASTIC DAMAGE MODEL IN F.E.M 311
5.11.2 NUMERICAL VERIFYING FOR ELASTIC DAMAGE CONSTITUTIVE RELATIONSHIP
312
5.11.3 NUMERICAL VERIFYING FOR SYMMETRIZATION COMMENTS . .. 314 5.12
NUMERICAL APPLICATION TO ANALYSIS OF ENGINEERING PROBLEMS... 322 5.12.1
ANISOTROPIE DAMAGE ANALYSIS FOR EXCAVATION OF UNDERGROUND CAVERN 322
5.12.2 DAMAGE MECHANICS ANALYSIS FOR STABILITY OF CRAG ROCK SLOPE 328
5.12.3 DAMAGE MECHANICS ANALYSIS FOR KOYNA DAM DUE TO SEISMIC EVENT 340
REFERENCES 353
BRITTLE DAMAGE MECHANICS OF ROCK MASS 357
6.1 INTRODUCTION AND OBJECTIVE 357
6.2 GENERAL THEORY OF BRITTLE DAMAGE MECHANICS 359
6.2.1 THERMODYNAMIC BASIC EXPRESSION OF BRITTLE DAMAGE MECHANICS 359
6.2.2 GENERAL CONSTITUTIVE RELATIONSHIP OF BRITTLE DAMAGE MATERIALS 367
6.3 APPLICATION OF THERMODYNAMIC POTENTIAL TO BRITTLE DAMAGE MATERIALS
372
6.3.1 DISSIPATION POTENTIAL AND EFFECTIVE CONCEPTS DUE TO DAMAGE 372
6.3.2 EFFECTIVE OPERATIONS FOR ANISOTROPIE DAMAGE 373 6.3.3 PROGRESSIVE
UNILATERAL CHARACTER OF DAMAGE 376 6.3.4 CASE STUDY OF DAMAGE IN
ANISOTROPIE MATERIALS 378 6.4 MICRO-MECHANICS OF BRITTLE DAMAGE BASED ON
MEAN FIELD THEORY 383
6.4.1 INTRODUCTION AND OBJECTIVE 383
6.4.2 MEAN FIELD THEORY OF MICRO-MECHANICS 385
6.4.3 STRAIN ENERGY DUE TO PRESENCE OF A SINGLE SLIT 388
IMAGE 6
XIV CONTENTS
6.4.4 COMPLIANCES OF 2-D ELASTIC CONTINUUM CONTAINING MANY SLITS 393
6.4.5 CRITICAL STATE AND PERCOLATION THEORY 403
6.4.6 HIGHER ORDER MODELS FOR RECTILINEAR SLITS 413
6.5 NON-LINEAR BRITTLE DAMAGE MODEL OF POROUS MEDIA 415 6.5.1
RELATIONSHIP BETWEEN DAMAGE AND POROSITY 415 6.5.2 BRITTLE DAMAGE MODEL
BASED ON MODIFIED MOHR-COULOMB POROUS MEDIA 417
6.5.3 INFLUENCE OF DAMAGE ON SHEAR STRENGTH OF POROUS MEDIA 427
6.6 BRITTLE DAMAGE MODEL FOR CRACK-JOINTED ROCK MASS 434 6.6.1 ASPECTS
OF BRITTLE OF CRACK-JOINTED ROCK MASS 434 6.6.2 CONSTITUTIVE MODEL OF
CRACK-JOINTED ROCK MASS 435 6.6.3 DETERMINATION OF PRESSURE AND SHEAR
CONDUCTIVE
COEFFICIENTS C N AND C S 442
6.6.4 ENERGY EQUIVALENT MODEL OF BRITTLE DAMAGE FOR JOINTED ROCK MASS
447
6.6.5 GENERAL MODEL OF CONSTITUTIVE EQUATIONS FOR JOINTED ROCK MASS 452
6.6.6 BRITTLE ELASTO-PLASTIC DAMAGE MODEL FOR JOINTED ROCK MASS 455
6.6.7 APPLICATION TO ENGINEERING PROJECT 457
REFERENCES 463
7 ANISOTROPIE ELASTO-PLASTIC DAMAGE MECHANICS 469
7.1 INTRODUCTION 469
7.2 FAILURE MODELS OF ANISOTROPIE DAMAGED MATERIALS 470 7.2.1
CHARACTERISTIC OF ANISOTROPIE FAILURE 470
7.2.2 MODEL FOR MODIFIED HILL S CRITERION 472
7.2.3 MODEL FOR MODIFIED HOFFMAN S CRITERION 475
7.3 INFLUENCE OF ANISOTROPIE ORIENTATION 479
7.3.1 INFLUENCE OF ORIENTATION ON HILL S MODEL 479
7.3.2 INFLUENCE OF ORIENTATION ON HOFFMAN S MODEL 483 7.4 ANISOTROPIE
DAMAGE STRAIN ENERGY RELEASE RATE 487 7.5 ANISOTROPIE DAMAGE
ELASTO-PLASTIC THEORY 490
7.5.1 ELASTO-PLASTIC EQUATIONS WITHOUT DAMAGE GROWTH 491 7.5.2
ELASTO-PLASTIC EQUATIONS WITH DAMAGE GROWTH 493 7.5.3 EQUIVALENT
PRINCIPLE OF DAMAGE STATE 496
7.6 ANISOTROPIE HARDENING MODEL 497
7.7 ANISOTROPIE ELASTO-PLASTIC DAMAGE EQUATIONS FOR NUMERICAL ANALYSIS
505
7.8 COUPLED DAMAGE AND PLASTICITY IN GENERAL EFFECTIVE TENSOR MODELS 510
7.8.1 STRESS TRANSFORMATION BASED ON CONFIGURATIONS 510 7.8.2 STRAIN
STATE AND STRAIN TRANSFORMATION 514
IMAGE 7
CONTENTS XV
7.8.3 COUPLED CONSTITUTIVE MODEL 520
7.8.4 APPLICATION OF ANISOTROPIE GURSON PLASTIC DAMAGE MODEL TO VOID
GROWTH 527
7.8.5 COROTATIONAL EFFECTIVE SPIN TENSOR 530
7.9 ELASTO-PLASTIC DAMAGE FOR FINITE-STRAIN 531
7.9.1 CONFIGURATION OF DEFORMATION AND DAMAGE 531 7.9.2 DESCRIPTION OF
DAMAGE TENSORS 532
7.9.3 CORRESPONDING DAMAGE EFFECTIVE TENSOR FOR SYMMETRIZED MODEL II 533
7.9.4 ELASTO-PLASTIC DAMAGE BEHAVIOR WITH FINITE STRAINS.... 535 7.9.5
THERMODYNAMIC DESCRIPTION OF FINITE STRAIN DAMAGE .. 549 7.9.6 DAMAGE
BEHAVIOR OF ELASTO-PLASTIC FINITE DEFORMATION . 555 7.10 NUMERICAL
RESULTS IN APPLICATIONS 556
7.10.1 PERFORATED SPECIMEN 556
7.10.2 CRACKED PLATE SUBJECTED TO TENSION 559
7.11 NUMERICAL ANALYSIS FOR ANISOTROPIE GURSON S PLASTIC DAMAGE MODEL
564
7.11.1 PLASTICITY OF GURSON S YIELD CRITERION 564
7.11.2 AN APPLICATION OF HILL QUADRATIC ANISOTROPIE YIELD CRITERION 565
7.11.3 ANISOTROPIE GURSON S PLASTIC MODEL BASED ON HILL S FAILURE
CRITERION 568
7.11.4 FINITE ELEMENT ANALYSIS FOR VOIDS GROWTH OF GURSON S PLASTIC
MODEL 575
REFERENCES 586
THEORY OF VISCO-ELASTO-PLASTIC DAMAGE MECHANICS 589 8.1 INTRODUCTION 589
8.2 THERMODYNAMICS OF VISCO-ELASTIC DAMAGE MECHANICS 594 8.2.1 GENERAL
THERMODYNAMICS FRAMEWORK 594
8.2.2 STATED EQUIVALENCE OF THERMODYNAMIC ENTROPY 598 8.2.3
VISCO-ELASTICITY WITH TEMPERATURE COUPLED TO DAMAGE . 600 8.3 ASYMPTOTIC
EXPANSION OF VISCO-PLASTIC DAMAGE MECHANICS.... 610 8.3.1 ABOUT
VISCO-PLASTIC DAMAGE 610
8.3.2 DESCRIPTION OF VISCO-PLASTIC DAMAGE SYSTEM 612 8.3.3 RECURSIVE
INTEGRATION METHOD FOR VISCO-PLASTIC DAMAGE 617 8.3.4 OUTLINE OF
VISCO-PLASTIC DAMAGE EQUATIONS AND ALGORITHM 624
8.4 INTEGRATED MODEL OF ISOTROPIE CREEP DAMAGE 627
8.4.1 UNIAXIAL CREEP DAMAGE BEHAVIOR 627
8.4.2 MULTIAXIAL CREEP DAMAGE MODELING 630
8.4.3 GENERALIZATION OF DAMAGE CREEP LAW 635
8.5 VISCO-ELASTO-PLASTIC DAMAGE MECHANICS BASED ON MINIMUM DISSIPATIVE
ENERGY PRINCIPLE 637
8.5.1 GENERALIZED PRINCIPLE OF MINIMUM DISSIPATIVE ENERGY . 637
IMAGE 8
XVI CONTENTS
8.5.2 THEORETICAL MODELING OF VISCO-ELASTO-PLASTIC DAMAGE MECHANICS 641
8.5.3 NUMERICAL MODELING OF VISCO-ELASTO-PLASTIC DAMAGE MECHANICS 646
8.6 GENERALIZED VARIATIONAL PRINCIPLES OF VISCO-ELASTIC DAMAGE PROBLEMS
650
8.6.1 PREFERENCES OF VARIATIONAL PRINCIPLES 650
8.6.2 GENERALIZED VARIATIONAL PRINCIPLES FOR VISCO-ELASTIC DAMAGE
MECHANICS 651
8.6.3 APPLICATION OF GENERALIZED VARIATIONAL PRINCIPLE 658 8.7 NUMERICAL
STUDIES ON VISCO-ELASTO-PLASTIC DAMAGE BEHAVIORS .. 662 8.7.1
APPLICATION OF COUPLED VISCO-ELASTIC DAMAGE MODEL TO SWIRL-MAT
COMPOSITES 662
8.7.2 OBSERVATION OF ASYMPTOTIC INTEGRATION FOR VISCO-PLASTIC DAMAGE
PROBLEMS 668
8.7.3 NUMERICAL STUDIES OF VISCO-PLASTIC DAMAGE BEHAVIOR IN SIMPLE
STRUCTURES 673
8.8 EFFECTS OF LOCALIZATION APPROACH TO CREEP FRACTURE DAMAGE .. 677
8.8.1 EFFECTS OF MESH-DEPENDENCE DUE TO LOCAL APPROACH . .. 677 8.8.2
NUMERICAL STUDY FOR EFFECTS OF LOCALIZATION APPROACH TO CREEP DAMAGE 681
8.8.3 REGULARIZATIONS TO SUPPRESS MESH-DEPENDENCE 687 8.9 ENGINEERING
APPLICATIONS OF VISCO-ELASTO-PLASTIC DAMAGE MECHANICS 692
8.9.1 F. E. MODELING OF THERMAL VISCO-ELASTO-PLASTIC DAMAGE BEHAVIOR 692
8.9.2 APPLIED EXAMPLE OF FOUR-POINT BENDING TESTS OF STIFFENED PLATES
696
8.9.3 APPLIED EXAMPLE FOR ANALYSIS OF PYLON MEMBERS WITH A BOLT HOLE 699
8.9.4 TWO DIMENSIONAL DYNAMIC FINITE ELEMENT ANALYSIS FOR
VISCO-ELASTO-PLASTIC DAMAGE IN LONGTAN CONCRETE GRAVITY DAM PROJECT 704
REFERENCES 715
9 DYNAMIC DAMAGE PROBLEMS OF DAMAGED MATERIALS 723 9.1 INTRODUCTION 723
9.2 FUNDAMENTALS OF DYNAMIC DAMAGE MECHANICS 724
9.2.1 BASIC EQUATIONS OF DYNAMIC EVOLUTIONAL SYSTEM 724 9.2.2 VARIATION
PRINCIPLE OF DYNAMIC EVOLUTIONAL CONTINUOUS SYSTEM 727
9.2.3 UNIFIED DESCRIPTION OF DYNAMIC EVOLUTIONARY CONTINUOUS SYSTEM 728
9.2.4 HARNILTON-JACOBI-BELLMAN EQUATIONS FOR DYNAMIC EVOLUTIONARY SYSTEM
730
IMAGE 9
CONTENTS XVII
9.2.5 SCHEMES OF NUMERICAL SOLUTIONS 733
9.3 DYNAMIC DAMAGE EVOLUTIONARY EQUATIONS 734
9.3.1 DAMAGE GROWTH EQUATIONS 734
9.3.2 CONCEPT OF DAMAGE PROPAGATION 737
9.4 NUMERICAL METHOD OF ANALYSIS FOR DYNAMIC DAMAGE PROBLEMS 738 9.4.1
GOVERNING EQUATIONS OF MOTION FOR ANISOTROPIE DAMAGED STRUCTURES 738
9.4.2 FINITE ELEMENT DISCRETIZATION OF DYNAMIC DAMAGED BODY 739
9.4.3 FINITE ELEMENT DISCRETIZATION OF DYNAMIC DAMAGE EVOLUTION 741
9.4.4 DAMPING FOR DAMAGED MATERIALS 746
9.5 WAVE PROPAGATION IN DAMAGED MEDIA AND DAMAGE WAVE 749 9.5.1
INTRODUCTION OF WAVE WITH DAMAGE 749
9.5.2 WAVE PROPAGATION CHARACTERS IN DAMAGED MEDIA 750 9.5.3 ANALYSIS
FOR EXAMPLES OF ONE-DIMENSIONAL WAVE PROPAGATION IN DAMAGED MEDIA 761
9.5.4 KINEMATIC WAVE APPLIED TO CRACK TIPS 777
9.5.5 DAMAGE WAVE IN ELASTIC-BRITTLE MATERIALS 784 9.6 ANALYSIS FOR
DYNAMIC RESPONSE OF DAMAGED SIMPLE STRUCTURES 797
9.6.1 AN INTRODUCTION OF DYNAMIC RESPONSE OF DAMAGED STRUCTURES 797
9.6.2 RESPONSE OF DAMAGED SIMPLE STRUCTURE UNDER DYNAMIC LOADING 800
9.6.3 LAGRANGIAN F E ANALYSIS FOR DYNAMICS OF DAMAGED DEEP BEAM 808
9.6.4 DAMAGE EVOLUTION IN DEEP BEAM DURING DYNAMIC RESPONSE 812
9.6.5 INFLUENCE OF DAMAGE ON DYNAMIC BEHAVIOR 820 9.7 DYNAMIC DAMAGE
ANALYSIS FOR BRITTLE ROCK AND ITS APPLICATION 832
9.7.1 PURPOSE OF BRITTLE ROCK DYNAMIC DAMAGE STUDIES 833 9.7.2 WAVE
PROPAGATION IN BRITTLE JOINTED ROCK 834 9.7.3 ANALYSIS FOR DYNAMIC
DAMAGE IN MICRO-JOINTED ROCK MASS 839
9.7.4 IMPACT RESPONSE BEHAVIOR OF DYNAMIC DAMAGED BRITTLE ROCK 842
9.7.5 EXAMPLE OF NUMERICAL APPLICATIONS AND VALIDATION . . .. 845 9.7.6
FRAGMENTATION OF BRITTLE ROCK DUE TO DYNAMIC DAMAGE 849
9.8 ENGINEERING APPLICATION OF DYNAMIC DAMAGE ANALYSIS 858 9.8.1 DYNAMIC
DAMAGE ANALYSIS FOR EARTHQUAKE RESPONSES OF ARCH DAMS 858
IMAGE 10
XVIII CONTENTS
9.8.2 DYNAMIC ANALYSIS OF BRITTLE DAMAGE IN ARCH DAM DUE TO BLAST LOAD
880
9.8.3 DAMAGE ANALYSIS FOR PENETRATION OF LIMITED-THICKNESS CONCRETE
TARGETS 892
REFERENCES 900
INDEX 911
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| any_adam_object | 1 |
| author | Zhang, Wohua Cai, Yuanqiang |
| author_GND | (DE-588)142968412 (DE-588)142968439 |
| author_facet | Zhang, Wohua Cai, Yuanqiang |
| author_role | aut aut |
| author_sort | Zhang, Wohua |
| author_variant | w z wz y c yc |
| building | Verbundindex |
| bvnumber | BV039685436 |
| ctrlnum | (OCoLC)690911758 (DE-599)DNB996247254 |
| dewey-full | 620.1126 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1126 |
| dewey-search | 620.1126 |
| dewey-sort | 3620.1126 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen |
| format | Book |
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| id | DE-604.BV039685436 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:08:56Z |
| institution | BVB |
| isbn | 9787308065894 9783642047077 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024534347 |
| oclc_num | 690911758 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XVIII, 923 S. IIll., graph. Darst. 24 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Zhejiang Univ. Press Springer |
| record_format | marc |
| series2 | Advanced topics in science and technology in China |
| spelling | Zhang, Wohua Verfasser (DE-588)142968412 aut Continuum damage mechanics and numerical applications Wohua Zhang ; Yuanqiang Cai Hangzhou Zhejiang Univ. Press 2010 Berlin ; Heidelberg Springer XVIII, 923 S. IIll., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Advanced topics in science and technology in China Literaturangaben Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Schadensmechanik (DE-588)4194956-0 gnd rswk-swf Schadensmechanik (DE-588)4194956-0 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Bruchmechanik (DE-588)4112837-0 s Cai, Yuanqiang Verfasser (DE-588)142968439 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024534347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhang, Wohua Cai, Yuanqiang Continuum damage mechanics and numerical applications Numerisches Verfahren (DE-588)4128130-5 gnd Bruchmechanik (DE-588)4112837-0 gnd Schadensmechanik (DE-588)4194956-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4112837-0 (DE-588)4194956-0 |
| title | Continuum damage mechanics and numerical applications |
| title_auth | Continuum damage mechanics and numerical applications |
| title_exact_search | Continuum damage mechanics and numerical applications |
| title_full | Continuum damage mechanics and numerical applications Wohua Zhang ; Yuanqiang Cai |
| title_fullStr | Continuum damage mechanics and numerical applications Wohua Zhang ; Yuanqiang Cai |
| title_full_unstemmed | Continuum damage mechanics and numerical applications Wohua Zhang ; Yuanqiang Cai |
| title_short | Continuum damage mechanics and numerical applications |
| title_sort | continuum damage mechanics and numerical applications |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Bruchmechanik (DE-588)4112837-0 gnd Schadensmechanik (DE-588)4194956-0 gnd |
| topic_facet | Numerisches Verfahren Bruchmechanik Schadensmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024534347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zhangwohua continuumdamagemechanicsandnumericalapplications AT caiyuanqiang continuumdamagemechanicsandnumericalapplications |