The Open Materials Science Journal

2015, 9 : 130-134
Published online 2015 September 23. DOI: 10.2174/1874088X01509010130
Publisher ID: TOMSJ-9-130

The Symplectic Method in Polar Coordinates for Linear Viscoelastic Materials

W.X. Zhang and Y. Bai
School of Civil Engineering and Architecture, Henan University of Technology, Zhengzhou, Henan, P.R. China.

ABSTRACT

In this study, the symplectic method is applied to a two-dimensional annular-sector viscoelastic domain under the polar coordinate system. By applying variable separation approach, all fundamental solutions are derived in analytical form. Furthermore, using the method of variable substitution, lateral conditions are transformed into finding a particular solution for the governing equations, and this particular solution is derived with the use of eigensolution expansion. In the numerical example, the boundary condition problem is discussed in detail to analyze the stress response of viscoelastic solids.

Keywords:

Polar coordinate, symplectic method, viscoelastic.