Elastic interaction of a screw dislocation with a double-coated cylinder

Nkem Ogbonna
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Abstract

We study the problem of a screw dislocation interacting with a double-coated cylindrical inclusion in a dissimilar matrix. Using an elastostatic image method, we determine the displacement field in each material phase and obtain the force of interaction between the inhomogeneity and the dislocation in the form of a rapidly convergent infinite series. Numerical examples are presented to illustrate the effect of double coating on the force of interaction. It is found that, for certain material combinations, the presence of a double-coated cylinder gives rise to two equilibrium positions of the dislocation. This result is significant as it indicates that multiple equilibrium positions are possible for multiply-coated inclusions interacting with a screw dislocation.

螺位错与双涂层圆柱的弹性相互作用
研究了不同基体中螺旋位错与双涂层圆柱形夹杂相互作用的问题。采用弹性静力图像法,确定了材料各相的位移场,得到了快速收敛的无穷级数形式的不均匀性与位错相互作用的力。通过数值算例说明了双层涂层对相互作用力的影响。结果发现,对于某些材料组合,双涂层圆柱体的存在会产生两个位错的平衡位置。这一结果具有重要意义,因为它表明多重包覆夹杂物与螺位错相互作用时可能存在多个平衡位置。
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