Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle—Part 2: Incompressible Materials

[+] 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 46(1), 71-77 (Mar 01, 1979) (7 pages) doi:10.1115/1.3424531 History: Received April 01, 1978; Revised September 01, 1978; Online July 12, 2010


In a companion paper [1], the authors presented a total Lagrangean rate formulation for a hybrid stress finite-element method, based on a rate complementary energy principle which involves both the rates of Piola-Lagrange stress and rotation as variables, for finite strain analysis of nonlinear elastic compressible solids. In this paper the method is extended to the case of precisely incompressible rubber-like materials. Two plane stress problems, one corresponding to a biaxial strip test and, the other, a sheet with a circular hole, both involving strains in excess of 100 percent, are solved and the numerical results are discussed.

Copyright © 1979 by ASME
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