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本文研究了具有线弹簧型弱界面的异质球形夹杂的本征应变问题。所采用的线弹簧型弱界面模型既能考虑界面的切线方向滑动,又能考虑界面的法线方向张开。根据叠加原理,原问题的弹性场可分成三部分:一部分由真实均匀本征应变所引起,另一部分由等效的非均匀本征应变所引起,最后一部分则由虚拟的Somigliana位错场所产生。本文求得了等效非均匀本征应变和虚拟位错场的Burger矢量的解析表达式,进而完全确定原问题的弹性场。
In this paper, we study the intrinsic strain problem of heterogeneous spherical inclusions with linear spring-type weak interfaces. The adopted wire spring-type weak interface model not only can consider the tangential interface sliding, but also consider the normal direction of the interface to open. According to the principle of superposition, the elastic field of the original problem can be divided into three parts: one is caused by the real uniform intrinsic strain and the other is caused by the equivalent non-uniform intrinsic strain, and the last part is generated by the virtual Somigliana dislocation. In this paper, we obtain the analytical expression of Burger vector of equivalent non-uniform intrinsic strain and virtual dislocation field, and then completely determine the elastic field of the original problem.