Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle

[+] Author and Article Information
H. Murakawa, S. N. Atluri

School of Engineering Science and Mechanics, Georgia Institute of Technology, Atlanta, Ga. 30332

J. Appl. Mech 45(3), 539-547 (Sep 01, 1978) (9 pages) doi:10.1115/1.3424358 History: Received August 01, 1977; Revised January 01, 1978; Online July 12, 2010


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.

Copyright © 1978 by ASME
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