STRESS DISTRIBUTION IN BONDED DISSIMILAR MATERIALS WITH CRACKS
STRESS DISTRIBUTION IN BONDED DISSIMILAR MATERIALS WITH CRACKS
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DOI：
10.1115/1.3625814
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发表时间：
1965-01-01
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影响因子：
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通讯作者：
ERDOGAN, F
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文献类型：
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作者：
ERDOGAN, F
重新考虑了两个不同半无限平面的粘接问题，其中含有沿粘接处沿着的裂纹。所考虑的外载荷包括裂纹表面上的牵引力、面内弯矩、由于温度变化引起的残余应力、作用在平面内任意位置的集中载荷和力偶以及裂纹的单侧楔形加载。计算沿键沿着的应力并以图表显示。在楔形加载的例子中，裂纹尖端附近的应力状态和位移得到了更详细的研究;粘结应力σ和沿裂纹的相对位移v1− v2被绘制成log（r/a）的函数。结果发现，即使应力和位移随着r接近零而振荡，对于玻璃钢粘结的例子，σ的第一个零点出现在（r/a）= 10−10.63附近，并且在距离（r/a）= 10− 10处，应力集中系数已经超过104。类似地，相对位移振荡的区域为0 <（r/a）< 10−7，并且干涉的最大值为v2− v1= P10−9.7，P（lb/in）。即楔形载荷。结果表明，考虑到距离和应力的大小，在实际应用中，线性无穷小弹性静力学混合边值问题所特有的应力振荡现象可以忽略不计。
The problem of two bonded dissimilar semi-infinite planes containing cracks along the bond is reconsidered. The external loads considered include the tractions on the crack surfaces, in-plane moments, residual stresses due to temperature changes, concentrated load and couple acting at an arbitrary location in the plane, and one-sided wedge loading of the crack. The stresses along the bonds are calculated and shown in graphs. In the example of wedge loading, the stress state and displacements in the vicinity of the crack tip are more closely studied; and the bonding stress σ and the relative displacement v1− v2along the crack are plotted as functions of log(r/a). It was found that, even though the stresses and displacements oscillate as r approaches zero, for the example of glass-steel bond the first zero of σ occurs around (r/a) = 10−10.63, and at a distance (r/a) = 10−10the stress-concentration factor has already exceeded 104. Similarly, the region within which relative displacements oscillate is 0 < (r/a) < 10−7, and the maximum value of interference becomes v2− v1= P10−9.7, P (lb/in.) being the wedge load. It was concluded that, considering the magnitudes of distances and stresses involved, in practical applications the phenomenon of stress oscillation, which seems to be a peculiar characteristic of mixed-boundary-value problems of linear infinitesimal elastostatics, may be ignored.