arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.07524cond-mat.mtrl-scicond-mat.mes-hall
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相场晶体模型中的位错形核

Dislocation nucleation in the phase field crystal model

Vidar Skogvoll, Audun Skaugen, Luiza Angheluta, Jorge Viñals

摘要:

本文利用相场晶体模型研究了二维刃型位错在外加应力场作用下的形核问题。位错偶极子形核下施加的应力,符合伯格斯矢量守恒。相场正确地解释了成核前的弹性储能,以及成核过程中的耗散弛豫。我们表明,晶格不相容性场是一个敏感的诊断的成核事件的位置,和伯格斯矢量和滑移方向的位错,将成核阈值以上。相场能量的直接计算准确地与成核事件相关,如由晶格不相容性场发出的信号。我们表明,一个施密特样的标准关于解决应力在成核网站正确预测的临界成核应力。最后,我们提出了一个三维,体心立方晶格的初步结果。相场允许直接计算位错线和环的晶格不相容张量。

英文摘要:

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase field correctly accounts for elastic energy storage prior to nucleation, and for dissipative relaxation during the nucleation event. We show that a lattice incompatibility field is a sensitive diagnostic of the location of the nucleation event, and of the Burgers vector and slip direction of the dislocations that will be nucleated above threshold. A direct calculation of the phase field energy accurately correlates with the nucleation event, as signaled by the lattice incompatibility field. We show that a Schmid-like criterion concerning the resolved stress at the nucleation site correctly predicts the critical nucleation stress. Finally, we present preliminary results for a three-dimensional, body-centered cubic lattice. The phase field allows a direct computation of the lattice incompatibility tensor for both dislocation lines and loops.

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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