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

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.

Authors

Publication Details

Journal
Advances in Applied Mathematics and Mechanics
Published
2024-11-26
DOI
https://doi.org/10.4208/aamm.oa-2023-0044
Primary Topic
Geotechnical and Geomechanical Engineering
Type
article
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article

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

Xiao Li, Zhijun Shen
Advances in Applied Mathematics and Mechanics
Geotechnical and Geomechanical Engineering
article

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

Xiao Li, Zhijun Shen
article en

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.

Advances in Applied Mathematics and MechanicsVol. 17(2)
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Geotechnical and Geomechanical Engineering
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Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition — Xiao Li, Zhijun Shen · Advances in Applied Mathematics and Mechanics (2024) | TGRS Research Map | TGRS