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Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition

Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition

Year:    2025

Author:    Xiao Li, Zhijun Shen, Hongping Zhang, Gang Xu

Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 2 : pp. 580–598

Abstract

In this work, the types of shock wave structure for hydro-elastoplastic model under compression are researched. The emphasis focuses on the theory of shock transition in the presence of elastic-plastic-fluid phase transition. As a result, in addition to the classical three-wave structure, two new shock wave patterns are found with the increase of loading strength. Several numerical tests are presented to verify the existence of the three types of wave structure.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2023-0044

Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 2 : pp. 580–598

Published online:    2025-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Shock wave structure Hydro-elastoplastic model shock transition.

Author Details

Xiao Li

Zhijun Shen

Hongping Zhang

Gang Xu