Large Plane-to-Surface Deformations of Membranes With Inclusion

[+] Author and Article Information
W. J. Fenner, C. H. Wu

Department of Materials Engineering, University of Illinois at Chicago Circle, Box 4348, Chicago, Ill. 60680

J. Appl. Mech 48(2), 357-360 (Jun 01, 1981) (4 pages) doi:10.1115/1.3157622 History: Received July 01, 1980; Online July 21, 2009


For large deformations, the strain-energy density function for a neo-Hookean membrane is dominated by the sum of squares of the two principal stretch ratios. This property reduces the displacement equations of equilibrium for the class of problems considered to three uncoupled linear equations. The nonlinear coupling appears only in the algebraic stress calculations. In light of the scarcity of exact solutions to nontrivial problems, the approximate but explicit solutions obtained here should be of some practical value.

Copyright © 1981 by ASME
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