混合向错-位错系统中的平衡与相互作用 regime
Equilibrium and Interaction Regimes in Mixed Disclination-Dislocation Systems
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中文总结 AI 辅助
该研究针对平面弹性中的混合向错-位错系统，推导约化相互作用能并分析平衡态与耗散演化，揭示向错可阻碍位错运动，为两类缺陷的相互作用提供数学描述。
中文摘要 AI 辅助
我们研究平面弹性中简化的向错-位错系统的平衡构型与耗散动力学，考虑圆形区域内刃型位错与固定楔型向错的相互作用，推导约化相互作用能，表征平衡态及其稳定性，并研究相关的耗散演化。分析揭示了由位错与向错贡献竞争产生的特征长度尺度与碰撞时间，向错的存在会显著改变位错动力学并阻碍其运动，该行为与实验观测一致，为旋转与平移缺陷间的相互作用提供了简单数学描述。
英文摘要
We investigate equilibrium configurations and dissipative dynamics of simplified disclination--dislocation systems in planar elasticity. We consider an edge dislocation interacting with a fixed wedge disclination in a circular domain. We derive the reduced interaction energy, characterize the equilibrium states and their stability, and study the associated dissipative evolution. The analysis reveals characteristic length scales and collision times arising from the competition between the dislocation and disclination contributions. In particular, the presence of the disclination produces a nontrivial modification of the dislocation dynamics and can hinder its motion. This behavior is consistent with experimental observations and provides a simple mathematical description of the interaction between rotational and translational defects.
