Theory of Plasticity

Preface Preface to the third 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