On Thermodynamics and Kinetic Theory of Ideal Rubber Membranes

[+] Author and Article Information
W. Dreyer

Technische Universität Berlin, Hermann-Föttinger-Institut für Thermo und fluiddynamik, Strasse des 17. Juni 135, 1000 Berlin 12, Germany

J. Appl. Mech 48(2), 345-350 (Jun 01, 1981) (6 pages) doi:10.1115/1.3157620 History: Received July 01, 1979; Revised March 01, 1980; Online July 21, 2009


Based on experimental evidence and thermodynamics it will be shown that the stored energy function of an ideal rubber membrane is determined by the entropy alone. The membrane is represented by a two-dimensional surface for the purposes of thermodynamics, and its thickness is taken into account by a scalar parameter so that incompressibility of the membrane can be described. The entropy of the membrane is calculated from a kinetic model and hence results the surface stress as a function of temperature and deformation for arbitrary shape of the membrane.

Copyright © 1981 by ASME
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