Viscoelastic Responses of Finite Bodies by Quadrature Form of Correspondence Principle

Abstract

Alternative forms of the elastic-viscoelastic analogy for numerically obtained frequency response functions have been reported for solids of similarly and dissimilarly viscoelastic in bulk and shear in [1, 2], respectively. It is herein demonstrated that the same integrals can be numerically evaluated to obtain viscoelastic responses of finite bodies even though the harmonic response functions have singularities at the resonance frequencies. Crucial aspects of the algorithm regarding the truncation of numerical quadrature in the neighborhood of the poles are addressed in this Note.