Finite elasticity solutions using hybrid finite elements based on a complementary energy principle

H. Murakawa, S. N. Atluri

Research output: Contribution to journalArticle

33 Scopus citations

Abstract

The possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola- Lagrange (unsymmetric) stress alone, is examined. A new incremental hybrid stress finite-element model, based on an incremental complementary energy principle involving both the incremental Piola-Lagrange stress, and an incremental rotation tensor which leads to discretization of rotational equilibrium equations, is presented. An application of this new method to the finite strain analysis of a compressible nonlinear-elastic solid is included, and the numerical results are discussed.

Original languageEnglish
Pages (from-to)539-547
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Volume45
Issue number3
DOIs
StatePublished - Sep 1978

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