In this paper, the mathematical simulation is used to study and analyze the shear zone or plastic deformation at a meso-level in dispersion-hardened crystalline materials with an aluminum matrix and incoherent nanoparticles. This study also considers both the macro-level or the behavior of the flow stress curves and the micro-level or the formation of linear and point defects. It is found that the size of the shear zone lowers with the growth in the degree of deformation in all the dispersion-hardened materials at issue. The average size of this zone does not depend on scale parameters of the strengthening phase. The formation and accumulation of various dislocation types in the shear zone mostly depend on the particle size.

中文翻译：

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非相干纳米颗粒异相合金中强化相尺度参数对塑性剪切区的影响

在本文中，数学模拟用于研究和分析具有铝基体和非相干纳米粒子的弥散硬化晶体材料的介观水平的剪切带或塑性变形。该研究还考虑了宏观层面或流动应力曲线的行为以及微观层面或线状和点状缺陷的形成。发现在所有讨论的弥散硬化材料中，剪切区的尺寸随着变形程度的增加而减小。该区域的平均大小不依赖于强化阶段的尺度参数。剪切带中各种位错类型的形成和积累主要取决于粒径。