Melan’s Problems With Weak Interface
Melan’s Problems With Weak Interface
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Melan 的弱接口问题
DOI：
10.1115/1.321147
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
S. Lenci
中科院分区：
文献类型：
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作者：
S. Lenci
纤维附着在无限薄片上的问题（梅兰问题）已在两个物体之间的粘附不完美的假设下被重新考虑。我们假设该链接是由所谓的弱界面保证的，即我们假设位移的跳跃与界面应力成线性比例。 (i) 集中力作用在纤维上的情况和 (ii) 由于纤维断裂而导致应力重新分布的情况的解已经以闭合形式获得。我们已经讨论了界面刚度 k 如何影响解，特别是界面应力。重点在于确定如何通过 k 修改所施加载荷的影响区域。给出并讨论了影响区域长度的近似（尽管准确）简单表达式。
The problem of a fiber attached to an infinite sheet (Melan's problem) has been reconsidered under the hypothesis that the adherence between the two bodies is not perfect. We have assumed that the link is guaranteed by the so-called weak interface, i.e., we have supposed that the jump of the displacement is linearly proportional to the interface stress. The solutions of (i) the case with a concentrated force acting on the fiber and (ii) the case of the redistribution of stresses as a consequence of the rupture of the fiber have been obtained in closed form. We have discussed how the interface stiffness k influences the solutions and, in particular, the interfacial stress. Emphasis is placed on determining how the zone of influence of the applied load is modified by k. Approximate (though accurate) simple expressions for the length of the zone of influence are given and discussed.