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Volume 17, Issue 2
Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition

Xiao Li, Zhijun Shen, Hongping Zhang & Gang Xu

DOI: 10.4208/aamm.OA-2023-0044

Adv. Appl. Math. Mech., 17 (2025), pp. 580-598.

Published online: 2024-12

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  • 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.

  • Keywords

Shock wave structure, Hydro-elastoplastic model, shock transition.

  • AMS Subject Headings

76L05, 74H15, 76T30, 68U20, 47E05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-17-580, author = {Li , XiaoShen , ZhijunZhang , Hongping and Xu , Gang}, title = {Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2024}, volume = {17}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2023-0044}, url = {http://global-sci.org/intro/article_detail/aamm/23735.html} }
TY - JOUR T1 - Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition AU - Li , Xiao AU - Shen , Zhijun AU - Zhang , Hongping AU - Xu , Gang JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 580 EP - 598 PY - 2024 DA - 2024/12 SN - 17 DO - http://doi.org/10.4208/aamm.OA-2023-0044 UR - https://global-sci.org/intro/article_detail/aamm/23735.html KW - Shock wave structure, Hydro-elastoplastic model, shock transition. AB -

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.

Li , XiaoShen , ZhijunZhang , Hongping and Xu , Gang. (2024). Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition. Advances in Applied Mathematics and Mechanics. 17 (2). 580-598. doi:10.4208/aamm.OA-2023-0044
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