Front Cover -- Theory of Plasticity -- Copyright Page -- Table of Contents -- Dedication -- Preface to the third edition -- Preface to the first edition -- Chapter 1. Stresses and Strains -- 1.1 Introduction -- 1.2 The Stress-Strain Behavior -- 1.3 Analysis of Stress -- 1.4 Mohr's Representation of Stress -- 1.5 Analysis of Strain Rate -- 1.6 Concepts of Stress Rate -- Problems -- Chapter 2. Foundations of Plasticity -- 2.1 The Criterion of Yielding -- 2.2 Strain-Hardening Postulates -- 2.3 The Rule of Plastic Flow -- 2.4 Particular Stress-Strain Relations -- 2.5 The Total Strain Theory -- 2.6 Theorems of Limit Analysis -- 2.7 Uniqueness Theorems -- 2.8 Extremum Principles -- Problems -- Chapter 3. Elastoplastic Bending and Torsion -- 3.1 Plane Strain Compression and Bending -- 3.2 Cylindrical Bars Under Torsion and Tension -- 3.3 Thin-Walled Tubes Under Combined Loading -- 3.4 Pure Bending of Prismatic Beams -- 3.5 Bending of Beams Under Transverse Loads -- 3.6 Torsion of Prismatic Bars -- 3.7 Torsion of Bars of Variable Diameter -- 3.8 Combined Bending and Twisting of Bars -- Problems -- Chapter 4. Plastic Analysis of Beams and Frames -- 4.1 Introduction -- 4.2 Limit Analysis of Beams -- 4.3 Limit Analysis of Plane Frames -- 4.4 Displacements in Plane Frames -- 4.5 Variable Repeated Loading -- 4.6 Minimum Weight Design -- 4.7 Influence of Axial Forces -- 4.8 Limit Analysis of Space Frames -- Problems -- Chapter 5. Further Solutions of Elastoplastic Problems -- 5.1 Expansion of a Thick Spherical Shell -- 5.2 Expansion of a Thick-Walled Tube -- 5.3 Thermal Stresses in a Thick-Walled Tube -- 5.4 Thermal Stresses in a Thick Spherical Shell -- 5.5 Pure Bending of a Curved Bar -- 5.6 Rotating Discs and Cylinders -- 5.7 Infinite Plate with a Circular Hole -- 5.8 Yielding Around a Cylindrical Cavity -- Problems.

Chapter 6. Theory of the Slipline Field -- 6.1 Formulation of the Plane Strain Problem -- 6.2 Properties of Slipline Fields and Hodographs -- 6.3 Stress Discontinuities in Plane Strain -- 6.4 Construction of Slipline Fields and Hodographs -- 6.5 Analytical and Matrix Methods of Solution -- 6.6 Explicit Solutions for Direct Problems -- 6.7 Some Mixed Boundary-Value Problems -- 6.8 Superposition of Slipline Fields -- Problems -- Chapter 7. Steady Problems in Plane Strain -- 7.1 Symmetrical Extrusion Through Square Dies -- 7.2 Unsymmetrical and Multihole Extrusion -- 7.3 Sheet Drawing Through Tapered Dies -- 7.4 Extrusion Through Tapered Dies -- 7.5 Extrusion Through Curved Dies -- 7.6 Ideal Die Profiles in Drawing and Extrusion -- 7.7 Limit Analysis of Plane Strain Extrusion -- 7.8 Cold Rolling of Strips -- 7.9 Analysis of Hot Rolling -- 7.10 Mechanics of Machining -- Problems -- Chapter 8. Nonsteady Problems in Plane Strain -- 8.1 Indentation by a Flat Punch -- 8.2 Indentation by a Rigid Wedge -- 8.3 Compression of a Wedge by a Flat Die -- 8.4 Cylindrical Depression in a Large Block -- 8.5 Compression Between Smooth Platens -- 8.6 Compression Between Rough Platens -- 8.7 Yielding of Notched Bars in Tension -- 8.8 Bending of Single-Notched Bars -- 8.9 Bending of Double-Notched Bars -- 8.10 Bending of Beams and Curved Bars -- 8.11 Large Bending of Wide Sheets -- Problems -- Chapter 9. Computational Methods -- 9.1 Numerical Mathematics -- 9.2 Finite Difference Method -- 9.3 Finite Element Discretization -- 9.4 Finite Element Procedure -- 9.5 Illustrative Examples -- Problems -- Appendixes -- A Tables on Slipline Fields -- B Orthogonal Curvilinear Coordinates -- C Fundamentals of Soil Plasticity -- Author Index -- Subject Index.