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
收藏
页码：1155 / 1166
页数：12
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