中文摘要：

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 2 ×2diagonally 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.

英文摘要：

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 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.