Elastoplastic problems in the uniaxially deformed state approximation. Analytical and numerical solutions / A. B. Kiselev, A. V. Mishchenko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 2. P. 37-45 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

A detailed study of a shock-wave structure and an unloading wave for elastoplastic problems in the one-dimensional deformed state approximation is given. A brief description of a numerical algorithm is also given. The verification of the TIS software complex is discussed for one-dimensional plane problems. This complex is based on the method of separation into physical processes and on the finite volume method using moving Eulerian grids.

Key words: elastoplastic model, analytical and numerical solutions, method of separation into physical processes, finite volume method, moving Eulerian grids.

№ 2/2014