Numerical and Analytical Investigation of Shock Wave Processes in Elastoplastic MediaстатьяИсследовательская статья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
Аннотация:The Wilkins model for an elastoplastic medium is considered. A theoretical analysis of discontinuoussolutions under the assumption of one-dimensional uniaxial strain is performed. In thisapproximation, the material equations for the deviator stress tensor components are integrated exactly,and only the conservative part of the governing equations remains, which makes it possible to derive aclass of exact analytical solutions for the model. To solve the full nonconservative system of equations(without assuming the uniaxial strain), a Godunov-type numerical method is developed, which usesan approximate Riemann solver based on integrating the system of equations along a path in the phasespace. A special choice of path is proposed that reduces the two-wave HLL approximation to the solutionof a linear equations. Numerical and exact analytical solutions are compared for a number ofproblems with various regimes of shockwave processes.