Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements

E. F. Punch, S. N. Atluri

Research output: Contribution to journalArticle

82 Scopus citations

Abstract

Linear and quadratic Serendipity hybrid-stress elements are examined in respect of stability, coordinate invariance, and optimality. A formulation based upon symmetry group theory successfully addresses these issues in undistorted geometries and is fully detailed for plane elements. The resulting least-order stable invariant stress polynomials can be applied as astute approximations in distorted cases through a variety of tensor components and variational principles. A distortion sensitivity study for two and three-dimensional elements provides favourable numerical comparisons with the assumed displacement method.

Original languageEnglish
Pages (from-to)331-356
Number of pages26
JournalComputer Methods in Applied Mechanics and Engineering
Volume47
Issue number3
DOIs
StatePublished - Dec 1984

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