Stability analysis of structures via a new complementary energy method

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

doi:10.1016/0045-7949(81)90104-8

Stability analysis of structures via a new complementary energy method

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

Mechanical Engineering

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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 language	English
Pages (from-to)	11-18
Number of pages	8
Journal	Computers and Structures
Volume	13
Issue number	1-3
DOIs	https://doi.org/10.1016/0045-7949(81)90104-8
State	Published - Jun 1981

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author = "H. Murakawa and Reed, {K. W.} and Atluri, {S. N.} and R. Rubenstein",

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N2 - 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.

AB - 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.

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ER -

Stability analysis of structures via a new complementary energy method

Abstract

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