The novelty of the approach contains several aspects: the method of derivation of the governing equations, the form and number of equations, the optimal choice of elastic constants. While majority of published articles derives the governing equations from the Green’s function for the compound space and the use of the reciprocal theorem, we use the combination of Green’s functions for 2 different half-spaces and Fourier transform. The usual approach leads to 3 hypersingular integral equations, we arrive at 2 integro-differential equations (one of them being complex). While the coefficients of the governing equations in existing publications are presented in terms of the results of the solution of a set of linear algebraic equations and are too cumbersome to be written explicitly in terms of the basic elastic constants, our choice of the basic constants leads to quite elegant explicit expressions for these coefficients and reveals certain symmetry, which was noticed only numerically in previous publications. The new form of the governing equations allows us to obtain an exact closed form solution for an axisymmetric interface crack problem by elementary means. The same method can be applied to obtain the exact solution for a non-axisymmetric problem. A comparison is made with the existing exact solutions and some are shown to be incorrect.

该方法的新颖性包括几个方面：控制方程的推导方法，方程的形式和数量，弹性常数的最佳选择。尽管大多数已发表的文章都是从格林函数对复合空间的推导和对等定理的使用中得出控制方程的，但我们将格林函数的组合用于两个不同的半空间和傅立叶变换。通常的方法导致3个超奇异积分方程，我们得出2个积分微分方程（其中一个是复数）。现有出版物中控制方程的系数是根据一组线性代数方程的解的结果来表示的，而且过于繁琐而无法用基本弹性常数明确地写出来，我们对基本常数的选择导致了这些系数的优美而明确的表述，并揭示了一定的对称性，这在以前的出版物中仅在数字上被注意到。控制方程的新形式使我们能够通过基本方法获得轴对称界面裂纹问题的精确封闭形式解。可以使用相同的方法来获得非轴对称问题的精确解。与现有的精确解决方案进行了比较，并显示某些解决方案是不正确的。可以使用相同的方法来获得非轴对称问题的精确解。与现有的精确解决方案进行了比较，并显示某些解决方案是不正确的。可以使用相同的方法来获得非轴对称问题的精确解。与现有的精确解决方案进行了比较，并显示某些解决方案是不正确的。