Stress and Displacement Analysis of Elastic and Viscoelastic Medium with Elliptic Inclusion under In-Plane and Out-of-Plane Loadings. 1st Report, Case of Viscoelastic Medium and Elastic Inclusion.

Abstract

First, general solutions for an elastic medium with an elliptic elastic inclusion are given under the uniform in-plane and out-of-plane loads applied at infinity. Next, the stress and displacement fields for the same problems for a viscoelastic medium with an elliptic elastic inclusion are obtained by use of the correspondence principle between elasticity and linear viscoelasticity. The time-dependent behavior of the material of the matrix is assumed to be represented by typical rheology models such as Standard-, and Burgers-models. Several numerical examples are shown by graphical representation with varition of the aspect ratio b/a or a/b of an elliptic elastic inclusion.