This self-contained text is devoted to classical quasistatic problems of rate-independent plasticity theory, discussing the finite element method for both viscoplastic and rate-independent plastic solids. 1990 edition.

1. Introduction to Continuum Thermomechanics1.1 Mathematical Fundamentals1.2 Continuum Deformation1.3 Mechanics of Continuous Bodies1.4 Constitutive Relations: Elastic1.5 Constitutive Relations: Inelastic2. The Physics of Plasticity2.1 Phenomenology of Plastic Deformation2.2 Crystal Plasticity2.3 Plasticity of Soils, Rocks and Concrete3. Constitutive Theory3.1 Viscoplasticity3.2 Rate-Independent Plasticity3.3 Yield Criteria, Flow Rules and Hardening Rules3.4 Uniqueness and Extremum Theorems3.5 Limit-Analysis and Shakedown Theorems4. Problems in Contained Plastic Deformation4.1 Elementary Problems4.2 Elastic-Plastic Torsion4.3 The Thick-Walled Hollow Sphere and Cylinder4.4 Elastic-Plastic Bending4.5 Numerical Methods5. Problems in Plastic Flow and Collapse I: Theories and "Exact" Solutions5.1 Plane Problems5.2 Collapse of Circular Plates5.3 Plastic Buckling6. Problems in Plastic Flow and Collapse II: Applications of Limit Analysis6.1 Limit Analysis of Plane Problems6.2 Beams Under Combined Stresses6.3 Limit Analysis of Trusses, Beams and Frames6.4 Limit Analysis of Plates and Shells7. Dynamic Problems7.1 Dynamic Loading of Structures7.2 One-Dimensional Plastic Waves7.3 Three-Dimensional Waves8. Large-Deformation Plasticity8.1 Large-Deformation Continuum Mechanics8.2 Large-Deformation Constitutive Theory8.3 Numerical Methods in Large-Deformation PlasticityReferencesIndex