Numerical modelling of large elasto-plastic multi-material deformations on Eulerian gridsстатьяИсследовательская статья
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 19 июня 2024 г.
Аннотация:The paper deals with an Eulerian model for heterogeneous multiphase (multi-material) elasto-plastic7 media based on the diffuse interface method in the one-dimensional uniaxial strain approximation. In this8 approximation, an equilibriumhypoelasticWilkins bi-materialmodel is derived. This is carried out on the basis9 of an analogy between the elasto-plastic Wilkins and hydrodynamic Euler models. For the obtained model, a10 Godunov-type numerical method is developed based on the approximate Riemann solver HLLC. The results of11 the proposed Eulerian diffuse interface model are compared with reference solutions on moving grids with12 explicit tracking interfaces. It is shown that the present diffuse interface numerical model describes with good13 accuracy strong shock-wave processes in heterogeneous multiphase elasto-plastic media.