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摘要: 本文利用数值模拟方法对多孔铝在热击波作用下的力学效应进行了分析和研究。文中对用于描述多孔材料本构关系的p-a方程进行了改进，使其具有更为广泛的适用性和合理性，尤其是在描述多孔材料发生熔化出现零压时，具有突出的优越性。在处理压强p和多孔材料的多空度a的关系时，我们采用了M. M. Carroll的空心球壳模型，并考虑到热辐射引起的能量沉积作用，对其进行了修正，使其能恰当地反映出在热辐射条件下所遵循的规律。描述材料状态变化的是GRAY的金属三相物态方程。由上所述建立起来的这套方程及其对多孔材料中热击波的处理结果都具有一定的价值。Abstract: In this paper, hot shock wave produced by X-ray radiation in porous aluminum was studied by numerical simulation method. GRAY's three-phase equation of state was used to describe the material states. By improving the widely used p-a relation, we get a better form to describe porous material states. Further more, we revised the spherical shell model of porous material and used it in hot radiation problem to describe the constitution relation of p and a. On the whole, we established a new set of equations to handle the problem we interested in and get some useful results.
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Key words:
- porous material /
- hot shock wave /
- equation of state
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Royce E B. UCRL-51121, 1971. Carroll M M, Holt A C. J Appl Phys, 1972, 43(2): 759. Carroll M M, Holt A C. J Appl Phys, 1972, 43(4): 1626. Carroll M M, Holt A C, Butcher B M. J Appl Phys, 1974, 45(9): 3864. Carroll M M, Kim K T, Nesterenko N F. J Appl Phys, 1986, 59(6): 1962. Herrmann W. J Appl Phys, 1969, 40: 2490. Seaman L. A Computationally Cenvenient Equation of State for Porous Materials. Oswald R B Jr, Mclean F B, Schallhom D R, et al. AD-781978, 1973. -
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