A Viscoelastic Correspondence Principle for Plane Membranes Subjected to Lateral Pressure

[+] Author and Article Information
B. Storåkers

Department of Strength of Materials and Solid Mechanics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden

J. Appl. Mech 50(4a), 740-742 (Dec 01, 1983) (3 pages) doi:10.1115/1.3167139 History: Received October 01, 1982; Online July 21, 2009


The classical Föppl equations, governing the deflection of plane membranes, constitute the first-order consistent approximation in the case of linear elastic material behavior. It is shown that despite the static and kinematic nonlinearities present, for arbitrary load histories a correspondence principle for viscoelastic material behavior exists if all relevant relaxation moduli are of uniform time dependence. Application of the principle is illustrated by means of a popular material model.

Copyright © 1983 by ASME
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