International Conference «Mathematical and Informational Technologies, MIT-2011»

(IX Conference «Computational and Informational Technologies for Science,

Engineering and Education»)

## Sadovskaya O.V.## Simulation of the dynamic contact interaction of elastic-plastic bodies using high-performance computing The algorithm for numerical realization of boundary conditions of contact interaction of deformable bodies with beforehand unknown, time-dependent zone of contact is worked out. Contact conditions are formulated in the form of quasivariational inequality with one-sided constraint. This constraint corresponds to the condition of nonpenetration of deformable bodies into each other. Discrete inequalities are solved numerically in boundary meshes of the finite-difference grid by means of the method of successive approximations, on each step of which the projections of velocity vectors and some auxiliary vectors, serving for taking into account a friction in the contact zone, onto convex and closed sets of special form are constructed. This work was supported by the Russian Foundation for Basic Research (project no. 11-01-00053), by Complex Fundamental Research Program no. 2 of the Presidium of RAS (Intelligent Information Technologies, Mathematical Modeling, System Analysis and Automation) and by the Interdisciplinary Integration Project no. 40 of the Siberian Branch of RAS.
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