Stability analysis of structures via a new complementary energy method

H. Murakawa, K. W. Reed, S. N. Atluri, R. Rubenstein

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

A new procedure for the analyses of finite deformations and stability of structures, based on a complementary energy principle and an associated hybrid-mixed finite element method, is presented. In this procedure, the description of kinematics is based on the polar-decomposition of the displacement gradient into pure stretch and rigid rotation. The details of the procedure are illustrated through the problems of (i) post-buckling of a column, (ii) the elastica, and (iii) finite-displacements of a transversely loaded beam.

Original languageEnglish
Pages (from-to)11-18
Number of pages8
JournalComputers and Structures
Volume13
Issue number1-3
DOIs
StatePublished - Jun 1981

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