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用两步法构建了一个与温度和压力相关的适用于金属材料的剪切模量本构模型,其中的第一步任务是求得沿0 K等温线上剪切模量随压力的变化规律,即求得G1=G1(P,0 K)的函数式.第二步是从0 K等温线上某一给定P的G值出发,求出沿等压线上剪切模量随温度T变化的规律,从而最终求得剪切模量本构模型G=G(P,T)的具体表达式.在这两个阶段的研究中都利用了超声波测量和第一性原理计算方法的研究结果.用铝为模型材料,对本模型的合理性进行了检验.结果表明,G的模型预测数据与试验测量及理论计算数据相比较,无论G的演化是沿冲击压缩轨迹、等熵压缩轨迹、等温压缩轨迹还是等压线轨迹,都能达到令人满意的程度,故可认为本模型具有良好的普适性和合理性.
A two-step method is used to construct a constitutive model of shear modulus suitable for metal and metal, which is related to temperature and pressure. The first step is to determine the variation of shear modulus with pressure along the 0 K isotherm , That is obtained G1 = G1 (P, 0 K) of the function of the second step is from the 0 K isotherm for a given value of P starting G, obtained along the isobar sheared modulus with temperature T, we can get the concrete expression of the G = G (P, T) constitutive model of the shear modulus.Using the ultrasonic measurement and the first-principles calculation method in the two stages The results show that the rationality of this model is tested by using aluminum as the model material.The results show that the G model predictive data is compared with the experimental measurement and the theoretical calculation data, no matter whether G evolves along the impaction compression trajectory, isentropic compression trajectory , Isothermal compression trajectory or isobaric trajectory, can reach a satisfactory level, it can be considered that the model has good universality and rationality.