A CRACK BETWEEN DISSIMILAR MEDIA
A CRACK BETWEEN DISSIMILAR MEDIA
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DOI：
10.1115/1.3625813
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发表时间：
1965-01-01
期刊：
影响因子：
--
通讯作者：
ENGLAND, AH
中科院分区：
文献类型：
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作者：
ENGLAND, AH
在本文中，我们考虑沿着两个粘合的不同半平面的界面的裂纹的二维弹性问题。 Williams [1] 1 和 Erdogan [2] 之前已经考虑过这种性质的几个问题，在 [1] 中，Williams 研究了沿正 z 轴粘合的两个半平面中的应力分布，而沿负 z 轴具有不连接且无应力的表面。在 [2] 中，Erdogan 使用复杂变量公式检查了两个半平面沿有限数量的直线段相互粘合的情况，并评估了裂纹末端附近的应力分布。两篇论文都发现裂纹末端附近的应力发生剧烈振荡。下面显示了单线裂纹问题的解决方案（由两个粘合的不同半平面之间相等且相反的法向压力打开）在物理上是不允许的，因为它预测裂纹的上表面和下表面应该在裂纹末端附近闪烁并重叠。
IN this paper we consider the two-dimensional elastic problem of a crack lying along the interface of two bonded dissimilar half-planes. Several problems of this nature have been considered previously by Williams [l] 1 and Erdogan [2], In [1] Williams investigates the distribution of stress in two halfplanes bonded along the positive z-axis having unconnected and unstressed surfaces along the negative z-axis. In [2] Erdogan, using a complex variable formulation, examines the case of two half-planes bonded to each other along a finite number of straightline segments and evaluates the stress distributions near the ends of the cracks. In both papers it is found that violent oscillations occur in the stresses near the ends of the cracks. In the following it is shown that a solution to the problem of a single line crack, opened by equal and opposite normal pressures between two bonded dissimilar half-planes, is physically inadmissible since it predicts that the upper and lower surfaces of the crack should wi'inkle and overlap near the ends of the crack.