平面弹性中反对称载荷时裂纹问题的Fourier积分变换解法

Solution of Crack Problem of an Elastic Plane under Antisymmetrical Load with Fourier Integral Transformation Method

在用Fourier积分变换解决裂纹问题的著作中,都讨论对称载荷情况下的裂纹问题.本丈利用Fourier积分变换,一些特殊积分的性质和Abel积分方程的解,便可得到平面弹性中反对称载荷裂纹问题的解.

In his previous researches Sneddon adopted Fourier integral transformation were used to solve crack problem and only those under symmetrical load were dealt with. In this paper, by using Fourier integral transformation, the properties of some specific integral and the solution of Abelian integral equation, the solution of crack problem of an elastic under antisymmetrical load is given.