On convergence of the finite-element method for a class of elastic-plastic solids

Authors:
K. S. Havner and H. P. Patel

Journal:
Quart. Appl. Math. **34** (1976), 59-68

MSC:
Primary 73.65

DOI:
https://doi.org/10.1090/qam/449142

MathSciNet review:
449142

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Abstract: A proof of convergence of the finite-element method in rate-type, quasistatic boundary value problems is presented. The bodies considered may be discretely heterogeneous and elastically anisotropic, their plastic behavior governed by history-dependent, piecewise-linear yield functions and fully coupled hardening rules. Elastic moduli are required to be positive-definite and plastic moduli nonnegative-definite. Precise and complete arguments are given in the case of bodies whose surfaces are piecewise plane.

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DOI:
https://doi.org/10.1090/qam/449142

Article copyright:
© Copyright 1976
American Mathematical Society