FINITE ELASTICITY SOLUTIONS USING HYBRID FINITE ELEMENTS BASED ON A COMPLEMENTARY ENERGY PRINCIPLE.

H. Murakawa, S. N. Atluri

Research output: Contribution to journalConference article

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 roatational 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
JournalAmerican Society of Mechanical Engineers (Paper)
Issue number78 -WA/APM-1
StatePublished - 1978
EventUnknown conference -
Duration: Dec 10 1978Dec 15 1978

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