界面裂纹问题中M积分与功共轭积分的关系

给出了无限大体界面裂纹的特征展开式。该特征展开式表征了裂尖的应力振荡奇性，并满足裂面应力自由条件和界面上的应力位移连续条件。将Betti互等定理应用到界面裂纹问题中得到了新的路径无关积分，证明了M积分和Bueckner功共轭积分之间的关系。这个关系不受界面裂纹尖端应力振荡奇性的影响。对给定的辅助位移应力场，给定了相应的M积分与应力强度因子的关系。

On the Relation Between the M-Integral and the Work-Conjugate Integral in Interfacial Cracks

In this paper the eigenfunction expansion form in the interface crack problems of theinfinite body are given. They can represent the stress singularity at the crack tips, satisfying notonly the traction-free conditions on the crack faces, but also the continuity of the stress and dis-placement across the interface. After using the Betti's repciprocal theorem to the interface cracksproblem, new path-independent integrals are obtained and a relation between the M-integral andthe Bueckner work conjugate integral is proved. This relation is not influenced by stress oscillato-ry singularities on the interface crack tips. The stress intensity factors can be related to corre-sponding M-integral.