各向异性立方晶体的弹性格林函数及其应用

本文计算了各向异性立方晶体的弹性格林函数的级数展开式,给出了直到二级近似的展开式的系数。将所得结果应用于弹性偶极子模型,给出了对称中心所产生的位移场及两对称中心间的弹性相互作用的表示式。应用于Cu,K等强各向异性立方晶体,虽然级数的收敛较慢,但所得关于对称中心的位移场,及二对称中心间的互作用能的数值结果,竟与基于点阵的不连续性作出的点阵静力学计算所得的结果基本一致。从而表明,本文给出的直到二级近似的弹性格林函数的解析表示提供了一个可以普遍应用的简便的方法。它可以较准确地描述立方晶体的某些力学行为。关键词：

THE ELASTIC GREEN''S FUNCTION OF ANISOTROPIC CUBIC CRYSTALS AND ITS APPLICATIONS

The series expension of elastic Green's function of anisotropic cubic crystal is calculated and the expansion coefficients are given under the second order approximation. Applying the results to elastic dipole model, one obtains the expressions of elastic displacement field due to a symmetrical center and the interaction between two symmetrical centers. For strongly anisotropic cubic crystals such as K and Cu, it is surprising that the numerical results of the displacement field of the symmetrical center and the interaction between them are basically the same as those obtained by using lattice statics, which is based on the discrete native of the lattice, although the convergence is not very satisfactory. This seems to indicate that our analytical expression of the elastic Green's function leads to a simple and easy method, which can be used generally to describe some mechanical behaviour of cubic crystals correctly.