EXPLICIT-IMPLICIT SCHEMES FOR CALCULATING DYNAMICS OF ELASTOVISCOPLASTIC MEDIA WITH SOFTENING

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Abstract

The paper examines the dynamic behavior of elastoviscoplastic media under the action of an external load. For the case of a linear viscosity function and a nonlinear softening function, an explicit-implicit calculation scheme has been constructed that makes it possible to obtain a numerical solution to the original semilinear hyperbolic problem. This approach does not involve the use of the method of splitting into physical processes. Despite this, an explicit computational algorithm was obtained that can be effectively implemented on modern computing systems.

About the authors

V. I Golubev

Moscow Institute of Physics and Technology; Institute of Computer Aided Design of the RAS

Email: golubev.vi@mipt.ru
Dolgoprudny, Russia; Moscow, Russia

I. S Nikitin

Institute of Computer Aided Design of the RAS

Email: i_nikitin@list.ru
Moscow, Russia

A. V Shevchenko

Moscow Institute of Physics and Technology; Institute of Computer Aided Design of the RAS

Email: alexshevchenko@phystech.edu
Dolgoprudny, Russia; Moscow, Russia

I. B Petrov

Moscow Institute of Physics and Technology

Email: petrov@mipt.ru
Dolgoprudny, Russia

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