Regularization and Inverse Problems in Viscoelasticity

Abstract

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.