Abstract
We consider the dynamic behavior of elastoviscoplastic media under the action of an external load. For the general case of a nonlinear viscosity function describing high-speed hardening, we construct an explicit–implicit calculation scheme of the second order of approximation that permits one to obtain a numerical solution of the original semilinear hyperbolic problem. A distinctive feature of this approach is that it does not use the method of splitting by physical processes. Despite this, an explicit computational algorithm was obtained that allows efficient implementation on modern computing systems.
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This work was supported by the Russian Science Foundation, project no. 19-71-10060. https://rscf.ru/en/project/19-71-10060/.
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Translated by V. Potapchouck
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Golubev, V.I., Nikitin, I.S., Burago, N.G. et al. Explicit–Implicit Schemes for Calculating the Dynamics of Elastoviscoplastic Media with a Short Relaxation Time. Diff Equat 59, 822–832 (2023). https://doi.org/10.1134/S0012266123060101
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DOI: https://doi.org/10.1134/S0012266123060101