Advanced computer algorithms to simulation of transient dynamics in solids and structures

Abstract The new approach of designing computation algorithms for simulation of transient dynamics in solids and structures is proposed. The algorithms are based on explicit finite-difference scheme built under special conditions imposed on the values of difference mesh parameters. The designed calculation devices possess a minimal influence of spurious effects of numerical dispersion that allows discontinuities and high-gradient components caused by wave fronts and fracture events to be accurately computed. A set of advanced computer algorithms and calculation examples of 1D/2D model and engineering problems are presented: ( a ) longitudinal impact onto a rod embedded into an elastic medium, ( b ) propagation of cylindrical and spherical waves with front discontinuities, ( c ) stress concentrations near a head surface of hard projectile indented into elastic solids and ( d ) transient wave dynamics and delamination in fiber reinforced composites.

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