XLI. The equilibrium of linear arrays of dislocations.
XLI. The equilibrium of linear arrays of dislocations.
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DOI：
10.1080/14786445108561060
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发表时间：
1951-04
期刊：
影响因子：
--
通讯作者：
J. D. Eshelby;F. Frank;F. Nabarro
中科院分区：
文献类型：
--
作者：
J. D. Eshelby;F. Frank;F. Nabarro
本文给出了一种在给定应力影响下求一组相似位错在公共滑动面中平衡位置的方法。它们的位置由一组正交多项式的根给出。详细讨论了一组自由位错在恒定应力作用下堆积在固定位错上的情况，并与具有自由滑动面的裂纹所产生的应力分布进行了比较。
Abstract A method is given for finding the equilibrium positions of a set of like dislocations in a common slip-plane under the influence of a given applied stress. Their positions are given by the roots of a certain set of orthogonal polynomials. The case of a set of free dislocations piled up against a fixed dislocation by a constant applied stress is discussed in detail and the resulting stress-distribution is compared with that produced by a crack with freely slipping surfaces.