| Abstract: | Starting from two-dimensional wave equations and making use of Galerkin weighted residual approximations, discretized formulations for wave problems of a visco-elastic foundation have been derived. With considerations of geometrical and mechanical characteristics of a semi-infinite domain, a frequency-dependent compatible infinite element is also presented. Finally, by coupling the infinite elements with ordinary finite elements the system is used for simulation of propagating waves in a semi-infinite foundation. This model is not only suitable for simulations of complicated variations of geometrical conditions, but also for describing the unbounded behaviour of arbitrary multiple layers. Examples given indicate the model has excellent computational accuracy and feasibility for analysing the effects on foundation response due to the existence of faults or any other soft layers. |
