Mathematical modelling of inelastic deformation

목차 (Table of Contents)

• CONTENTS
• Preface = ⅶ
• 1 Preliminaries = 1
• 1.1 Notation = 1
• 1.2 Continuum mechanics = 12
• 2 Mechanisms of Plasticity and Creep = 31
• 2.1 Phenomenology of plasticity and creep = 32
• 2.2 The structure of metals and alloys = 37
• 2.3 Elementary mechanisms = 38
• 2.4 Additional mechanisms associated with plasticity = 44
• 2.5 Additional mechanisms for creep = 48
• 3 Thermodynamics of Elastic-inelastic Deformation = 53
• 3.1 Concepts and scope = 53
• 3.2 Mathematical formulation of basic laws = 55
• 3.3 Ideal gas and heat conduction = 61
• 3.4 Reversible and irreversible work of deformation = 64
• 3.5 Elastic deformations = 67
• 3.6 Inelastic deformations = 69
• 4 Elementary Models for Small Deformations = 78
• 4.1 Definition of small deformations = 78
• 4.2 Thermoelasticity = 80
• 4.3 Time-independent plasticity = 83
• 4.4 Creep = 106
• 4.5 Viscoplasticity = 116
• 5 Computational Aspects = 126
• 5.1 Discretization of the continuum model = 126
• 5.2 Limit analysis = 152
• 5.3 Incremental computations = 168
• 6 Fraction Models of Increasing Complexity = 191
• 6.1 Linear rheological models = 192
• 6.2 Fraction model for creep and plasticity = 202
• 6.3 Fraction model as a discretization procedure = 207
• 7 Large Strain Inelasticity = 241
• 7.1 Natural reference state theory = 242
• 7.2 Time-independent plasticity = 266
• 7.3 Computational aspects = 282
• 7.4 Plastic instability problems = 299
• References = 310
• Index = 316