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arXiv 1810.08052cond-mat.mtrl-sci
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模拟位错穿过相界传输的一种计算方法

A computational approach towards modelling dislocation transmission across phase boundary

F. Bormann, R. H. J. Peerlings, M. G. D. Geers, B. Svendsen

摘要:

为了研究刃型位错和两相微结构内相边界之间的纳米级相互作用,需要考虑由于位错引起的内部应力场上的相衬的影响。为此,本文提出了一种二维半离散模型。它由两个不同的相组成,每个相都有其特定的材料特性,由完全相干和非破坏性的相边界分开。每个阶段被建模为一个连续丰富的Peierls-Nabarro(PN)位错区,限制位错运动到一个离散的平面,滑移面。本文考虑了一个垂直于相界且连续穿过相界的单一滑移面。基于经典PN模型,沿滑移面的体诱导剪切力由滑移面剪切力平衡。该模型的能力,捕获位错在相界的障碍,位错堆积和位错传输进行了研究。结果表明,在材料性能(例如,弹性刚度,滑移面性能)的相位差单独创建一个障碍的位错从软到硬相的运动。该模型考虑了位错、外晶界和相界之间的相互作用,为研究两相微结构中刃型位错-相界相互作用提供了一种合适的工具。

英文摘要:

To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field due to the dislocations needs to be taken into account. For this purpose a 2D semi-discrete model is proposed in this paper. It consists of two distinct phases, each with its specific material properties, separated by a fully coherent and non-damaging phase boundary. Each phase is modelled as a continuum enriched with a Peierls--Nabarro (PN) dislocation region, confining dislocation motion to a discrete plane, the glide plane. In this paper, a single glide plane perpendicular to and continuous across the phase boundary is considered. Along the glide plane bulk induced shear tractions are balanced by glide plane shear tractions based on the classical PN model. The model's ability to capture dislocation obstruction at phase boundaries, dislocation pile-ups and dislocation transmission is studied. Results show that the phase contrast in material properties (e.g. elastic stiffness, glide plane properties) alone creates a barrier to the motion of dislocations from a soft to a hard phase. The proposed model accounts for the interplay between dislocations, external boundaries and phase boundary and thus represents a suitable tool for studying edge dislocation--phase boundary interaction in two-phase microstructures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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