THE INTERFACE CRACK WITH COULOMB FRICTION BETWEEN TWO BONDED DISSIMILAR ELASTIC MEDIA
THE INTERFACE CRACK WITH COULOMB FRICTION BETWEEN TWO BONDED DISSIMILAR ELASTIC MEDIA
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DOI：
10.1007/s10492-011-0010-7
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发表时间：
2011-02-01
影响因子：
0.7
通讯作者：
Tani, Atusi
中科院分区：
文献类型：
--
作者：
Itou, Hiromichi;Kovtunenko, Victor A.;Tani, Atusi
本文研究了两种不同线性弹性介质间的界面裂纹模型。在整个裂纹面上均满足库仑摩擦定律和非穿透条件。我们在原始形式下定义了问题的弱形式，并得到了等价的原始-对偶形式。然后我们陈述解的存在性定理。此外，通过Goursat-Kolosov-Muskhelishvili应力函数，我们推导出裂纹尖端附近的解的收敛展开。
We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip.