elasticity, heteromodular medium, nonstationary deformation, one-dimensional motion, collision of waves, plane waves, piecewise linear approximation.

The one-dimensional deformation dynamics in an elastic heteromodular medium under nonstationary boundary loading in the «tension and compression» mode is considered. The features of constructing a piecewise linear approximation of a nonlinear boundary condition are investigated. A selection criterion for the nodal partition points of the approximating function is indicated; it allows us to control the modes of collision between wave fronts of all types when the boundary value problem is solved. An iterative formula for the change in the shock wave velocity as a result of its collision with slow fronts of preliminary tension is obtained; the iterative relations for constructing the displacement field at all stages of deformation are written.

Lapteva Anastasia Alexandrovna, PhD in Physical & Mathematical Sciences, Junior Researcher, Institute of Automation and Control Processes, Far Eastern Branch of the RAS, Vladivostok, Russia.

Ragozina Victoria Evgenievna, PhD in Physical & Mathematical Sciences, Senior Researcher, Institute of Automation and Control Processes, Far Eastern Branch of the RAS, Vladivostok, Russia.

Dudko Olga Vladimirovna, PhD in Physical & Mathematical Sciences, Leading Researcher, Institute of Automation and Control Processes, Far Eastern Branch of the RAS, Vladivostok, Russia.