Solving viscoelastic problems by combining SBFEM and a temporally piecewise adaptive algorithm

Abstract

A combination of the scaled boundary finite element method (SBFEM) with a temporally piecewise adaptive algorithm is exploited to solve viscoelastic problems. By expanding variables at a discretized time interval, a coupled spatial–temporal problem is decoupled into a series of recursive spatial problems, which are solved by SBFEM, and a piecewise adaptive process in the time domain is realized via the change of expansion powers. Numerical verification, including the cases involving stress singularity, infinite domain, and inhomogeneous medium, are provided in comparison with analytical or ABAQUS-based solutions.