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 style="white-space:nowrap;">−1 and 3 × 107 s style="white-space:nowrap;">−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.
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机译：金属材料中的瑞利-泰勒不稳定性的线性分析已从理想的塑料本构模型扩展到Johnson-Cook和Steinberg-Guinan本构模型，并且从恒定载荷扩展到时间依赖性载荷。该分析被应用于铝和钒的两个瑞利-泰勒不稳定性实验，峰值压力为20 GPa和90 GPa，应变率为6×10 6 s style =“ white -space：nowrap;“>- 1 和3×10 7 s style =” white-space：nowrap;“>- 1 分别。当使用时变载荷和Steinberg-Guinan本构模型进行线性分析时，分析结果与实验定量吻合，表明该方法适用于铝和玻璃中的Rayleigh-Taylor不稳定性。钒金属材料在高压和高应变速率下。从这些线性分析中，我们发现，本构模型和加载过程对于金属材料中的瑞利-泰勒不稳定性的线性分析至关重要，并且可以更好地理解金属中的瑞利-泰勒不稳定性。这些结果将为不断发展的高压，高应变率实验和数值模拟提供重要参考。
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