| Preface | p. v |
| Notation | p. xi |
| Fundamentals | |
| Introduction | p. 3 |
| Introduction | p. 3 |
| Historical Remarks | p. 5 |
| Plastic Behavior in Simple Tension and Compression | p. 7 |
| Modeling of Uniaxial Behavior in Plasticity | p. 11 |
| Index Notation | p. 26 |
| Summary | p. 40 |
| References | p. 40 |
| Problems | p. 40 |
| Answers to Selected Problems | p. 44 |
| Yield and Failure Criteria | p. 46 |
| Stress | p. 46 |
| Yield Criteria Independent of Hydrostatic Pressure | p. 72 |
| Failure Criterion for Pressure-Dependent Materials | p. 84 |
| Anisotropic Failure/Yield Criteria | p. 99 |
| Summary | p. 103 |
| References | p. 104 |
| Problems | p. 104 |
| Answers to Selected Problems | p. 111 |
| Elastic Stress-Strain Relations | p. 117 |
| Strain | p. 117 |
| Linear Elastic Isotropic Stress-Strain Relation-Hooke's Law | p. 138 |
| Nonlinear Elastic Isotropic Stress-Strain Relation | p. 148 |
| Principle of Virtual Work | p. 161 |
| Drucker's Stability Postulate | p. 163 |
| Normality, Convexity, and Uniqueness for an Elastic Solid | p. 165 |
| Incremental Stress-Strain Relations | p. 171 |
| Summary | p. 172 |
| References | p. 173 |
| Problems | p. 174 |
| Answers to Selected Problems | p. 176 |
| Plastic Stress-Strain Relations | |
| Stress-Strain Relations for Perfectly Plastic Materials | p. 179 |
| Introduction | p. 179 |
| Plastic Potential and Flow Rule | p. 181 |
| Flow Rule Associated with von Mises Yield Function | p. 183 |
| Flow Rule Associated with Tresca Yield Function | p. 85 |
| Flow Rule Associated with Mohr-Coulomb Yield Function | p. 189 |
| Convexity, Normality, and Uniqueness for Elastic-Perfectly Plastic Materials | p. 192 |
| A Simple Elastic-Plastic Problem: The Expansion of a Thick-Walled Cylinder | p. 197 |
| Incremental Stress-Strain Relationships | p. 207 |
| Prandti-Reuss Material Model (J2 Theory) | p. 210 |
| Drucker-Prager Material Model | p. 216 |
| General Isotropic Material | p. 221 |
| References | p. 225 |
| Problems | p. 226 |
| Answers to Selected Problems | p. 230 |
| Stress-Strain Relations for Work-Hardening Materials | p. 232 |
| Introduction | p. 232 |
| Deformation Theory of Plasticity | p. 233 |
| Loading Surface and Hardening Rules | p. 239 |
| Flow Rule and Drucker's Stability Postulate | p. 250 |
| Effective Stress and Effective Strain | p. 256 |
| Illustrative Examples | p. 261 |
| Incremental Stress-Strain Relationships | p. 267 |
| References | p. 281 |
| Problems | p. 282 |
| Answers to Selected Problems | p. 286 |
| Metal Plasticity | |
| Implementation in Metals | p. 293 |
| Introduction | p. 293 |
| Formulation of the Elastic-Plastic Matrix | p. 294 |
| Finite-Element Formulation | p. 296 |
| Numerical Algorithms for Solving Nonlinear Equations | p. 299 |
| Numerical Implementation of the Elastic-Plastic Incremental Constitutive Relations | p. 308 |
| Bounding Surface Theory | p. 317 |
| Extension to Anisotropic Case | p. 326 |
| References | p. 340 |
| Concrete Plasticity | |
| Implementation in Concretes | p. 345 |
| Introduction | p. 345 |
| Failure Criteria | p. 353 |
| Plasticity Modehng: Hardening Behavior | p. 368 |
| Plasticity Modeling: Softening Behavior | p. 383 |
| References | p. 399 |
| Appendix | p. 401 |
| Limit Analysis | |
| General Theorems of Limit Analysis and Their Applications | p. 409 |
| Introduction | p. 409 |
| Theorems of Limit Analysis | p. 411 |
| Applications of the General Theorems | p. 421 |
| Discontinuous Stress Fields | p. 427 |
| Basic Techniques in Applications of the Upper-Bound Method | p. 447 |
| Example Problems in Plane Stress, Plane Strain, and 3-D | p. 468 |
| References | p. 486 |
| Problems | p. 486 |
| Answers to Selected Problems | p. 489 |
| Limit Analysis of Engineering Structures | p. 492 |
| Introduction | p. 492 |
| Bending of Beams and Frames | p. 497 |
| Combined Axial and Bending Forces in Frames and Arches | p. 506 |
| Effect of Shear Force | p. 518 |
| Limit Analysis of Plates | p. 526 |
| Limit Analysis of Plates on Elastic Foundations | p. 533 |
| Limit Analysis of Shells | p. 568 |
| References | p. 589 |
| Problems | p. 590 |
| Answers to Selected Problems | p. 596 |
| Index | p. 601 |
| Table of Contents provided by Ingram. All Rights Reserved. |
