Plasticity Theory

1. Introduction to Continuum Thermomechanics 1.1 Mathematical Fundamentals 1.2 Continuum Deformation 1.3 Mechanics of Continuous Bodies 1.4 Constitutive Relations: Elastic 1.5 Constitutive Relations: Inelastic 2. The Physics of Plasticity 2.1 Phenomenology of Plastic Deformation 2.2 Crystal Plasticity 2.3 Plasticity of Soils, Rocks and Concrete 3. Constitutive Theory 3.1 Viscoplasticity 3.2 Rate-Independent Plasticity 3.3 Yield Criteria, Flow Rules and Hardening Rules 3.4 Uniqueness and Extremum Theorems 3.5 Limit-Analysis and Shakedown Theorems 4. Problems in Contained Plastic Deformation 4.1 Elementary Problems 4.2 Elastic-Plastic Torsion 4.3 The Thick-Walled Hollow Sphere and Cylinder 4.4 Elastic-Plastic Bending 4.5 Numerical Methods 5. Problems in Plastic Flow and Collapse I: Theories and "Exact" Solutions 5.1 Plane Problems 5.2 Collapse of Circular Plates 5.3 Plastic Buckling 6. Problems in Plastic Flow and Collapse II: Applications of Limit Analysis 6.1 Limit Analysis of Plane Problems 6.2 Beams Under Combined Stresses 6.3 Limit Analysis of Trusses, Beams and Frames 6.4 Limit Analysis of Plates and Shells 7. Dynamic Problems 7.1 Dynamic Loading of Structures 7.2 One-Dimensional Plastic Waves 7.3 Three-Dimensional Waves 8. Large-Deformation Plasticity 8.1 Large-Deformation Continuum Mechanics 8.2 Large-Deformation Constitutive Theory 8.3 Numerical Methods in Large-Deformation Plasticity References Index