ON CONVERGENCE OF THE FINITE-ELEMENT METHOD FOR A CLASS OF ELASTIC-PLASTIC SOLIDS.

K. S. Havner; H. P. Patel

doi:10.1090/qam/449142

ON CONVERGENCE OF THE FINITE-ELEMENT METHOD FOR A CLASS OF ELASTIC-PLASTIC SOLIDS.

K. S. Havner^*
, H. P. Patel

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A proof of convergence of the finite-element method in rate-type, quasi-static 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 plstic moduli nonnegative-definite. Precise and complete arguments are given in the case of bodies whose surfaces are piecewise plane.

Original language	English
Pages (from-to)	59-68
Number of pages	10
Journal	Quarterly of Applied Mathematics
Volume	34
Issue number	1
DOIs	https://doi.org/10.1090/qam/449142
State	Published - 1976

ASJC Scopus subject areas

Applied Mathematics

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title = "ON CONVERGENCE OF THE FINITE-ELEMENT METHOD FOR A CLASS OF ELASTIC-PLASTIC SOLIDS.",

abstract = "A proof of convergence of the finite-element method in rate-type, quasi-static 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 plstic moduli nonnegative-definite. Precise and complete arguments are given in the case of bodies whose surfaces are piecewise plane.",

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AU - Patel, H. P.

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N2 - A proof of convergence of the finite-element method in rate-type, quasi-static 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 plstic moduli nonnegative-definite. Precise and complete arguments are given in the case of bodies whose surfaces are piecewise plane.

AB - A proof of convergence of the finite-element method in rate-type, quasi-static 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 plstic moduli nonnegative-definite. Precise and complete arguments are given in the case of bodies whose surfaces are piecewise plane.

UR - https://www.scopus.com/pages/publications/0016939386

U2 - 10.1090/qam/449142

DO - 10.1090/qam/449142

M3 - Article

AN - SCOPUS:0016939386

SN - 0033-569X

VL - 34

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JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 1

ER -

ON CONVERGENCE OF THE FINITE-ELEMENT METHOD FOR A CLASS OF ELASTIC-PLASTIC SOLIDS.

Abstract

ASJC Scopus subject areas

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