Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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

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