Variational Statements and Mathematical Programming Formulations in Elastic-Plastic Analysis
The basic results of classical (associated) rate plasticity theory are first summarized in this chapter and some variational (minimum) statements are recalled, which provide suitable bases for finite element discretization. Extensions to holonomic or piecewise holonomic representations of the elastic-plastic behavior are next discussed, under the assumption that the constitutive law can be expressed in a piecewise linear form. The discrete elastic-plastic problem for finite load increments is considered in this context and connections with Mathematical Programming formulations are underlined.
KeywordsPositive Semidefinite Plastic Strain Rate Stress Space Associate Flow Rule Classical Plasticity
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