Convolution quadrature boundary element method for quasi-static visco- and poroelastic continua

Here, firstly, viscoelastic as well as poroelastic constitutive equations are recalled and, then, the respective integral equations are presented. Applying the usual spatial discretization and using the CQM for the temporal discretization yields the final time-stepping algorithm. The proposed methodology is tested by two simple examples considering creep behavior in viscoelasticity and consolidation processes in poroelasticity. The algorithm shows no stability problems and behaves well over a broad range of time step sizes.