Author(s)

Xinbo Bai¹, Tao Wang², Yuxuan Zhu³, Guoqiang Luo^3*

¹College of Physical Science and Technology, Sichuan University, Chengdu, China.
²Institute of Fluids Physics, China Academy of Engineering Physics, Mianyang, China.
³State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan, China.

The linear analysis of the Rayleigh-Taylor instability in metal material is extended from the perfect plastic constitutive model to the Johnson-Cook and Steinberg-Guinan constitutive model, and from the constant loading to a time-dependent loading. The analysis is applied to two Rayleigh-Taylor instability experiments in aluminum and vanadium with peak pressures of 20 GPa and 90 GPa, and strain rates of 6 × 10⁶ s⁻¹ and 3 × 10⁷ s⁻¹ respectively. When the time-dependent loading and the Steinberg-Guinan constitutive model are used in the linear analysis, the analytic results are in close agreement with experiments quantitatively, which indicates that the method in this paper is applicable to the Rayleigh-Taylor instability in aluminum and vanadium metal materials under high pressure and high strain rate. From these linear analyses, we find that the constitutive models and the loading process are of crucial importance in the linear analysis of the Rayleigh-Taylor instability in metal material, and a better understanding of the Rayleigh-Taylor instability in metals is gained. These results will serve as important references for evolving high-pressure, high-strain-rate experiments and numerical simulations.

Linear Analysis, Rayleigh-Taylor Instability, Time-Dependent Loading, Constitutive Model

Bai, X. , Wang, T. , Zhu, Y. and Luo, G. (2018) Expansion of Linear Analysis of Rayleigh-Taylor Interface Instability of Metal Materials. World Journal of Mechanics, 8, 94-106. doi: 10.4236/wjm.2018.84008.