A Linear Compressibility Assumption for the Multiple Integral Representation of Nonlinear Creep of Polyurethane

[+] Author and Article Information
K. G. Nolte, W. N. Findley

Division of Engineering, Brown University, Providence, R. I.

J. Appl. Mech 37(2), 441-448 (Jun 01, 1970) (8 pages) doi:10.1115/1.3408525 History: Received January 27, 1969; Revised June 12, 1969; Online April 06, 2010


The assumption that volume changes associated with creep of a nonlinear viscoelastic material are only linearly dependent on the stress history is incorporated into a third-order multiple integral representation. This assumption reduces the number of independent kernel functions in the representation from 12 to 7. The traces of these independent kernels may be determined from two tension, two torsion, and one combined tension and torsion creep tests. Experiments on polyurethane are well represented by this method. The time-dependence of the kernel functions is expressed by time raised to a power with the power differing for different-order kernel functions.

Copyright © 1970 by ASME
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