EDGE-BONDED DISSIMILAR ORTHOGONAL ELASTIC WEDGES UNDER NORMAL AND SHEAR LOADING
EDGE-BONDED DISSIMILAR ORTHOGONAL ELASTIC WEDGES UNDER NORMAL AND SHEAR LOADING
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DOI：
10.1115/1.3601236
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发表时间：
1968-01-01
期刊：
影响因子：
--
通讯作者：
BOGY, DB
中科院分区：
文献类型：
--
作者：
BOGY, DB
两个平面应变和广义平面应力问题 材料上不同的正交弹性楔，其被结合在一起， 其中一个面，同时规定任意法向和剪切力 在他们剩下的脸上，在经典的理论范围内处理， 弹性静力学解的渐近性态在 研究了粘接平面和加载平面的相交。的应力场 是奇异的，具有r−α型奇点， 其中α取决于两个剪切模量的比值和两个泊松比 比率。这种依赖关系以图形方式显示， 弹性常数。常数范围内α的最大值 被认为是0.311，并且当一种材料是刚性的而另一种材料是 不可压缩的
The plane-strain and generalized plane stress problems of two materially dissimilar orthogonal elastic wedges, which are bonded together on one of their faces while arbitrary normal and shearing tractions are prescribed on their remaining faces, are treated within the theory of classical elastostatics. The asymptotic behavior of the solution in the vicinity of the intersection of the bonded and loaded planes is investigated. The stress fields are found to be singular there with singularities of the type r−α, where α depends on the ratio of the two shear moduli and on the two Poisson’s ratios. This dependence is shown graphically for physically relevant values of the elastic constants. The largest value of α for the range of constants considered is 0.311 and occurs when one material is rigid and the other is incompressible.