ИСТИНА

The details of numerical algorithms implemented in CAE FIDESYS for the analysis of the propagation of nonlinear waves in elastic and viscoelastic bodies are discussed [2, 3]. It’s taken into account that waves propagation lead to new deformations which superimpose on existing stresses (induced anisotropy) in the media. For task formulation we used theory of repeated superposition of large deformations [1]. The details of numerical algorithms for the analysis of the propagation of nonlinear waves in elastic and viscoelastic bodies are discussed. The implementation of the spectral element method for the nonlinear dynamical problems of elasticity under finite strains is considered. Some details of parallel computing on multicore and multiprocessor systems for the problems of nonlinear dynamical elasticity are presented. The results of numerical experiments obtained in CAE Fidesys [4, 5] are shown, in particular: the analysis of propagation of nonlinear shock wave; the analysis of the origination of a defect in the process of propagation of nonlinear shock wave; the analysis of propagation of surface waves; the dynamical processes related with the origination of a hole in a weakly compressible nonlinear-viscoelastic material.