Simulation of 3-D Deformable Bodies Dynamics by Spectral Boundary Integral Equation Method

Abstract

The study of the dynamics of inhomogeneous elastically deformable media under conditions of stationary and transient loading processes is based on the integral representation of the corresponding boundary value problems with time-dependent fundamental solutions and a combination of methods for solving boundary integral equations with Fourier transforms. Theoretical bases of methods for solving boundary integral equations focused on effective numerical implementation and application flexibility are presented. The accuracy of the proposed approach is discussed. Three-dimensional applied problems are solved in support of the effectiveness of the developed method.