An Eigenexpansion Method in 2D Viscoelastic Materials

Abstract

The two-dimensional viscoelastic solid is considered in symplectic system. The general solutions of the governing equations include zero eigensolutions and non-zero eigensolutions. Zero eigensolutions can describe all the Saint-Venant problems, and non-zero ones are local effect solutions. Via this analytical approach, the final solution of the problem can be expressed by the linear combination of the general eigensoutions. In this paper, the local effects are described by employing this analytical approach.