CONTENTS 1
NOTATION 1
PART ONE ELASTICITY AND FAILURE CRITERIA FOR CONCRETE 1
CHAPTER ONE LINEAR ELASTICITY AND FAILURE CRITERIA FOR CONCRETE 3
1.1 INTRODUCTION 3
1.2 MECHANICAL BEHAVIOR OF CONCRETE 4
1.3 FAILURE CRITERIA 16
1.4 MOHR-COULOMB FAILURE CRITERION WITH A TENSION CUTOFF 39
1.5 FIVE-PARAMETER FAILURE MODEL 45
1.6 LINEAR ELASTIC-FRACTURE MODELS FOR CONCRETE 54
1.7 FURTHER REFINEMENT FOR MODELING FRACTURED CONCRETE 75
1.8 INTERACTION BETWEEN CONCRETE AND REINFORCEMENT 81
1.9 EXAMPLES OF FINITE ELEMENT APPLICATIONS 83
1.10 SUMMARY 93
1.11 REFERENCES 94
CHAPTER TWO NONLINEAR ELASTICITY AND HYPOELASTIC MODELS FOR CONCRETE 99
2.1 INTRODUCTION 99
2.2 GENERAL APPROACHES FOR NONLINEAR ELASTIC STRESS-STRAIN FORMULATIONS 100
2.3 A TOTAL STRESS-STRAIN MODEL BASED ON DECOUPLED SECANT MODULI Ks AND Gs 106
2.4 A TOTAL STRESS-STRAIN MODEL BASED ON COUPLED SECANT MODULI Ks AND Gs 118
2.5 A TOTAL STRESS-STRAIN MODEL BASED ON DECOUPLED SECANT MODULI EsAND vs CONSIDERING SOFTENING BEHAVIOR 120
2.6 TOTAL STRESS-STRAIN MODELS BASED ON GENERAL CAUCHY TYPE OF FORMULATION 128
2.7 INCREMENTAL STRESS-STRAIN MODELS BASED ON MODIFICATION OF ISOTROPIC LINEAR ELASTIC FORMULATIONS 132
2.8 AN INCREMENTAL BIAXIAL ORTHOTROPIC MODEL FOR MONOTONIC LOADING 141
2.9 AN INCREMENTAL BIAXIAL ORTHOTROPIC MODEL FOR CYCLIC LOADING 146
2.10 AN INCREMENTALAXISYMMETRIC ORTHOTROPIC MODEL FOR CYCLIC LOADING 153
2.11 A FIRST-ORDER HYPOELASTIC MODEL 161
2.12 EXAMPLES OF FINITE ELEMENT APPLICATIONS 170
2.13 SUMMARY 183
2.14 REFERENCES 184
CHAPTER THREE ELASTIC STRESS-STRAIN RELATIONS AND FAILURE CRITERIA FOR SOILS 187
3.1 INTRODUCTION 187
3.2 MECHANICAL BEHAVIOR OF SOILS 192
3.3 FAILURE CRITERIA OF SOILS 212
3.4 GENERAL APPROACHES FOR NONLINEAR ELASTIC STRESS-STRAIN FORMULATIONS 234
3.5 A TOTAL STRESS-STRAIN MODEL BASED ON SECANT MODULI Gs AND vs 238
3.6 A THIRD-ORDER HYPERELASTIC MODEL 242
3.7 INCREMENTAL STRESS-STRAIN MODELS BASED ON MODIFICATION OF THE ISOTROPIC LINEAR ELASTIC FORMULATION 260
3.8 INCREMENTAL STRESS-STRAIN MODEIS BASED ON COUPLED TANGENTIALMODULI Kt AND Gt 273
3.9 A FIRST-ORDER HYPOELASTIC MODEL 277
3.10 VARIABLE MODULI MODELS 286
3.11 EXAMPLES OF FINITE ELEMENT APPLICATIONS 287
3.12 SUMMARY 299
3.13 REFERENCES 300
PART TWO CONCRETE PLASTICITY AND IMPLEMENTATION 305
CHAPTER FOUR THEORY OF CONCRETE PLASTICITY 307
4.1 INTRODUCTION 307
4.2 MECHANICAL BEHAVIOR OF CONCRETE 308
4.3 FAILURE CRITERIA 313
4.4 HARDENING BEHAVIOR AND MODELING 320
4.5 A NONUNIFORM HARDENING PLASTICITY MODEL 326
4.6 A MULTIPLE HARDENING PLASTICITY MODEL 335
4.7 STRAIN-SOFTENING BEHAVIOR AND MODELING 345
4.8 PLASTICITY FORMULATION IN STRAIN-SPACE 348
4.9 PLASTIC-FRACTURING FORMULATION 354
4.10 REMARKS ON SOFTENING MODELING 359
4.11 TENSILE STRAIN-SOFTENING MODELING 361
4.12 DAMAGE THEORY 367
4.13 A SCALAR DAMAGE MODEL 373
4.14 A UNILATERAL ELASTIC DAMAGE MODEL 377
4.15 A MICROMECHANICALSTUDY 380
4.16 REFERENCES 388
CHAPTER FIVE IMPLEMENTATION AND APPLICATION FOR CONCRETES 393
5.1 INTRODUCTION 393
5.2 CRACKING MODEL FOR FINITE ELEMENT ANALYSIS 393
5.3 AN ANALYTICALMODELFOR MICROMECHANICALSTUDY 412
5.4 A MICROCRACK PROPAGATION STUDY 421
5.5 FORMULATIONOF A COMBINED PLASTICITY MODEL 428
5.6 IMPLEMENTATIONOF A COMBINED PLASTICITY MODEL 442
5.7 STRUCTURALAPPLICATIONS OF A COMBINED PLASTICITY MODEL 451
5.8 REFERENCES 463
PART THREE SOIL PLASTICITY AND IMPLEMENTATION 467
CHAPTER SIX THEORY OF SOIL PLASTICITY 469
6.1 INTRODUCTION 469
6.2 CHARACTERISTIC BEHAVIOR OF SOILS 469
6.3 FAILURE CRITERIA FOR SOILS 486
6.4 CAP MODELS 500
6.5 NESTED MODELS 515
6.6 BOUNDING SURFACE MODELS 522
6.7 ANISOTROPY，CYCLIC BEHAVIOR AND OTHER TOPICS 528
6.8 SUMMARY 532
6.9 REFERENCES 533
CHAPTER SEVEN IMPLEMENTATION AND APPLICATION IN SOILS 537
7.1 INTRODUCTION 537
7.2 IMPLEMENTATION OF PLASTICITY MODELS 537
7.3 FINITE ELEMENT PROCEDURES FOR NONLINEAR ANALYSIS 548
7.4 APPLICATIONOF A BOUNDING SURFACE MODEL 559
7.5 SUMMARY 586
7.6 REFERENCES 588