Dislocation Pile‐up in Two‐Phase Materials
Dislocation Pile‐up in Two‐Phase Materials
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两相材料中的位错堆积
DOI：
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发表时间：
1968
期刊：
影响因子：
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通讯作者：
T. Mura
中科院分区：
文献类型：
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作者：
J. G. Kuang;T. Mura
基于连续分布位错理论，以奇异积分方程的形式，建立了由软、硬两相组成的材料中刃位错和螺位错堆积的平衡方程。采用Wiener‐Hopf方法和Mellin变换对积分方程进行精确求解，得到了位错分布函数的显式表达式。结果表明，堆积阵列中的位错数可以直接从分布函数的梅林变换确定，而无需逆变换。
Based on the theory of continuously distributed dislocations, the equilibrium equations for both edge‐and screw‐dislocation pile‐ups in materials composed of soft and hard phases are formulated in terms of a singular integral equation. The integral equation is solved exactly by using the Wiener‐Hopf technique with Mellin transforms.The dislocation distribution function is found in explicit form. It is shown that the number of dislocations in the piled‐up array can be determined directly from the Mellin transform of the distribution function without its inverse transform.