Elastoplasticity Theory

Front Cover
Springer Science & Business Media, May 2, 2009 - Science - 416 pages
Contents Recent advancements in the performance of industrial products and structures are quite intense. Consequently, mechanical design of high accuracy is necessary to enhance their mechanical performance, strength and durability. The basis for their mechanical design can be provided through elastoplastic deformation analyses. For that reason, industrial engineers in the fields of mechanical, civil, architec- ral, aerospace engineering, etc. must learn pertinent knowledge relevant to elas- plasticity. Numerous books about elastoplasticity have been published since “Mathema- cal Theory of Plasticity”, the notable book of R. Hill (1950), was written in the middle of the last century. That and similar books mainly address conventional plasticity models on the premise that the interior of a yield surface is an elastic domain. However, conventional plasticity models are applicable to the prediction of monotonic loading behavior, but are inapplicable to prediction of deformation behavior of machinery subjected to cyclic loading and civil or architectural str- tures subjected to earthquakes. Elastoplasticity has developed to predict defor- tion behavior under cyclic loading and non-proportional loading and to describe nonlocal, finite and rate-dependent deformation behavior.
 

Contents

Tensor Analysis
1
Motion and Strain Rate
57
Conservation Laws and Stress Tensors
101
Objectivity and Corotational Rate Tensor
110
Elastic Constitutive Equations
127
Basic Formulations for Elastoplastic Constitutive Equations
134
Subloading Surface Model
171
Extended Subloading Surface Model
191
Constitutive Equations of Soils
249
Corotational Rate Tensor
309
Localization of Deformation
326
Numerical Calculation
337
Constitutive Equation for Friction
349
Appendixes
386
References
395
Index
407

Viscoplastic Constitutive Equations
210
Constitutive Equations of Metals
221

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