Regularization and Inverse Problems in Viscoelasticity

[+] Author and Article Information
G. W. Hedstrom, L. Thigpen, B. P. Bonner

Lawrence Livermore National Laboratory, Livermore, Calif. 94550

P. H. Worley

Computer Science Department, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 51(1), 121-124 (Mar 01, 1984) (4 pages) doi:10.1115/1.3167554 History: Received March 01, 1983; Revised September 01, 1983; Online July 21, 2009


The method of constrained regularization is used to invert for retardation spectra and attenuation from the creep data of a commercial-grade lucite material. Four different criteria for choosing a regularization parameter in the solution of the first-kind integral equation are examined. Although the spectra are different, computations using each criterion give essentially the same attenuation curve for a range of frequencies. These results show that reliable estimates of the attenuation may be obtained from inversion of creep data using the method of constrained regularization.

Copyright © 1984 by ASME
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