Boundary Element Formulation for Viscoelastic Structures Using the SLS Model

In this paper, from the basic assumption of viscoelastic constitutive equations and weighted residual techniques, a simple but effective boundary element formulation is implemented by the Standard Linear Solid (SLS) model describing both stress relaxation and creep. This Formulation needs only the Kelvinُ s Fundamental solution of isotropic elastostatics with material constant prescribed as explicit Function of time. This approach avoids use of relaxation Function and mathematical transformations, and it is able to solve the visco-elastostatic problems with any load time-dependence and boundary condition.

Keywords:

BE formulation , Viscoelastic structures , SLS model , Kelvin fundamental solution