Global structure stability of impact-induced tensile waves in phase-transforming materials

被引：0

作者：

Huang, Shou-jun ^{[1
]}

Wang, Jing-jing ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241003, Anhui Province, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2013年 / 34卷 / 09期

基金：

中国国家自然科学基金;

关键词：

global structure stability; impact-induced tensile wave; phase boundary; shock wave; rarefaction wave; LINEAR HYPERBOLIC SYSTEMS; RUBBER-LIKE MATERIAL; PROPAGATION; KIND;

D O I：

10.1007/s10483-013-1734-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global structure stability of the impact-induced tensile waves mentioned by Huang (Huang, S. J. Impact-induced tensile waves in a kind of phase-transforming materials. IMA Journal of Applied Mathematics, 76, 847-858 (2011)) is considered. By introducing Riemann invariants, the governing equations of motion are reduced into a 2x2 diagonally strictly hyperbolic system. Then, with the aid of the theory on the typical free boundary problem and maximally dissipative kinetics, the global structure stability of the impact-induced tensile waves propagating in a phase-transforming material is proved.

引用

页码：1155 / 1166

页数：12

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