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A numerical study of holonomic approximations to problems in plasticity
Author(s) -
Griffin T. B.,
Reddy B. D.,
Martin J. B.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620260614
Subject(s) - holonomic , mathematics , variational inequality , finite element method , boundary value problem , holonomic constraints , algebraic equation , approximations of π , algebraic number , minification , numerical analysis , mathematical analysis , mathematical optimization , nonlinear system , computer science , classical mechanics , physics , artificial intelligence , quantum mechanics , thermodynamics
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.