刃型位错弹性应力场的求解

Solution of the double harmonic equation in the elasticity stress field of edge dislocation

运用分离变量法对刃型位错弹性应力场双调谐方程V^4φ=0进行直接求解,进而得到一个特殊的四阶变系数线性微分方程——欧拉方程.求出该方程的通解后,依据边界条件确定了满足要求的特解,并对所求解的过程作了简要讨论.

In this paper, the double harmonic equation of elasticity stress field of edge dislocation is solved by the means of separated variable. Then, a kind of special four order variable modulus linearity differential equation, Euler equation can be available. After finding out .the common solution of the Euler equation, the specific solution conforming to the boundary conditions of the edge dislocation can be decided. Furthermore, the meaning of the specific solution is discussed briefly.