基于二维密度的位错动力学模型中细胞结构的形成

Ronghai Wu, Michael Zaiser
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引用次数: 16

摘要

位错自组织形成的胞状图案是位错在塑性变形过程中微观组织演化的最显著特征。为了阐明位错胞结构形成的物理机制,我们使用了一个最小模型来描述位错密度在载荷作用下的演化。通过只考虑平面应变设置下的两个滑移系统,我们得到了一个适用于解析稳定性分析和数值模拟的模型。我们利用该模型建立了细胞结构出现的分析稳定性标准,研究了图案过程的动力学,并建立了图案波长选择的机制。这一分析表明了硬化和细胞结构形成之间的密切关系,这似乎是位错主导的应变硬化几乎不可避免的必然结果。相比之下,交叉滑移等特定机制是细胞模式形成的附带因素。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Cell structure formation in a two-dimensional density-based dislocation dynamics model

Cellular patterns formed by self-organization of dislocations are a most conspicuous feature of dislocation microstructure evolution during plastic deformation. To elucidate the physical mechanisms underlying dislocation cell structure formation, we use a minimal model for the evolution of dislocation densities under load. By considering only two slip systems in a plane strain setting, we arrive at a model which is amenable to analytical stability analysis and numerical simulation. We use this model to establish analytical stability criteria for cell structures to emerge, to investigate the dynamics of the patterning process and establish the mechanism of pattern wavelength selection. This analysis demonstrates an intimate relationship between hardening and cell structure formation, which appears as an almost inevitable corollary to dislocation dominated strain hardening. Specific mechanisms such as cross slip, by contrast, turn out to be incidental to the formation of cellular patterns.

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期刊介绍: Journal of Materials Science: Materials Theory publishes all areas of theoretical materials science and related computational methods. The scope covers mechanical, physical and chemical problems in metals and alloys, ceramics, polymers, functional and biological materials at all scales and addresses the structure, synthesis and properties of materials. Proposing novel theoretical concepts, models, and/or mathematical and computational formalisms to advance state-of-the-art technology is critical for submission to the Journal of Materials Science: Materials Theory. The journal highly encourages contributions focusing on data-driven research, materials informatics, and the integration of theory and data analysis as new ways to predict, design, and conceptualize materials behavior.
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