An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements: selection of stable, invariant stress fields

R. Rubinstein, E. F. Punch, S. N. Atluri

Research output: Contribution to journalArticle

63 Scopus citations

Abstract

In this paper a study of the existence of spurious kinematic modes in hybrid-stress finite elements, based on assumed equilibrated stresses and compatible boundary displacements, and the resulting rank-deficiency of the element stiffness matrix, is presented. A method of selection of least-order, stable, invariant, stress fields is developed so as to ensure the prevention of kinematic modes. A 20-node cubic element, a 8-node cubic element and a 4-node square, based on assumed equilibrated stresses within the element and compatible displacements at the boundary of the element, are discussed for purposes of illustration. Comments are made on the generality of the present method, which is based on group theoretical arguments.

Original languageEnglish
Pages (from-to)63-92
Number of pages30
JournalComputer Methods in Applied Mechanics and Engineering
Volume38
Issue number1
DOIs
StatePublished - May 1983

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