MgO等矿物质的弹性系数与温度间的关系研究(英文)

STUDY ON TEMPERATURE DEPENDENCE OF ELASTIC MODULI FOR MGO AND OTHER MINERALS

本文研究了体积弹性模量、剪切模量、二级弹性模量与温度间的函数关系 .Bs(T)和G(T)的关系式是在假设两个Anderson -Gr櫣ｎｅｉｓｅｎ参数δＳ 和δT 及对应于剪切模量的无量纲参数 g在温度高于德拜温度θD 时它们与温度无关的基础上推导给出 .将它们的关系式推广应用于二级弹性模量 .由以上关系式对MgO等矿物质计算得到的结果与相应的实验数据进行了比较 ,它们与实验数据符合得很好 ,这说明本文的研究方法是正确的 .

In the present paper we studied the bulk modulus, shear modulus and second-order elastic constants as a function of temperature .The relationships for B_s(T) and G(T) are discussed with the assumptions that the two Anderson-Grüneisen parameter δ_S and δ_T,the thermoelastic parameter g involving the shear modulus are independent of temperature T when T is higher than the Debye temperature θ_D. We also generalizing the corresponding relations to second order elastic moduli. The results obtained from these relations for MgO and other minerals are compared with available experimental data. Good agreement between the results and experimental data demonstrates the validity of the present approach.