An efficient wave based mehtod for 2D dynamic poroelastic problems with corner stress singularities

Recently, a wave based method was developed to efficiently model the harmonic behavior of poroelastic materials. This novel method relaxes the frequency limitations of the finite element method by using exact solutions of the governing equations to approximate the field variables. However, in the case that the stress fields exhibit a singularity, the Wave Based Method suffers from convergence problems. This paper derives criteria to predict the presence of stress singularities in poroelastic problem domains and proposes a suitable set of enrichment functions to extend the conventional set of expansion functions. The beneficial effect of incorporating these functions on the convergence of the Wave Based Method is illustrated by means of a numerical validation study.status: publishe