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

• Published in: Applied mathematics and mechanics Vol. 34; no. 9; pp. 1155 - 1166
• Main Author: 黄守军 王静静
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2013; Department of Mathematics, Anhui Normal University, Wuhu 241003,Anhui Province, P.R.China
• Subjects: Applications of Mathematics; Classical Mechanics; Dissipation; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; 应用数学; 拉伸波; 材料结构; 相位; 相转化; 结构稳定性; 耗散动力学; 自由边界问题; shock wave; 35L50; O343; rarefaction wave; global structure stability; impact-induced tensile wave; phase boundary; 35L65; O175.2
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-013-1734-6

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 2 ~ 2 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.