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A numerical study of holonomic approximations to problems in plasticity

✍ Scribed by T. B. Griffin; B. D. Reddy; J. B. Martin

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
867 KB
Volume
26
Category
Article
ISSN
0029-5981

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✦ Synopsis

The incremental holonomic boundary-value problem in elastoplasticity has been shown to be characterized by a variational inequality. The problem may be approximated, however, by a perturbed minimization problem, characterized by a variational equality. This formulation is used as the basis for constructing finite element approximations of the original boundary-value problem, leading to a system of non-linear algebraic equations. Procedures for solving these equations are described and numerical results are presented and compared with those obtained using a conventional approach.

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