On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle

W. M. Xue, L. A. Karlovitz, S. N. Atluri

Research output: Contribution to journalArticle

59 Scopus citations

Abstract

The extensions of Reissner's two-field (stress and displacement) principle to the cases wherein the displacement field is discontinuous and/or the stress field results in unreciprocated tractions, at a finite number of surfaces ("interelement boundaries") in a domain (as, for instance, when the domain is discretized into finite elements), is considered. The conditions for the existence, uniqueness, and stability of mixed-hybrid finite element solutions based on such discontinuous fields, are summarized. The reduction of these global conditions to local ("element") level, and the attendant conditions on the ranks of element matrices, are discussed. Two examples of stable, invariant, least-order elements-a.four-node square planar element and an eight-node cubic element-are discussed in detail.

Original languageEnglish
Pages (from-to)97-116
Number of pages20
JournalInternational Journal of Solids and Structures
Volume21
Issue number1
DOIs
StatePublished - 1985

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