论文标题
场错力学和相位晶体模型
Field Dislocation Mechanics and Phase Field Crystal models
论文作者
论文摘要
提出了相位场晶体模型的新公式，该公式与相位场之间必要的显微镜独立性一致，反映了相位的对称性，以及质量密度和弹性变形。尽管这些量通过状态的宏观方程在平衡方面是相关的，但它们是自由能中的自变量，并且在评估导致模型控制方程的耗散功能方面可以独立变化。获得的方程描述了弹性压力固体中的位错运动，并用作可塑性方程向相位晶体设置的扩展。都考虑了有限变形理论和小型变形理论，并得出了磁场的相应动力学方程。
A new formulation of the Phase Field Crystal model is presented that is consistent with the necessary microscopic independence between the phase field, reflecting the broken symmetry of the phase, and both mass density and elastic distortion. Although these quantities are related in equilibrium through a macroscopic equation of state, they are independent variables in the free energy, and can be independently varied in evaluating the dissipation functional that leads to the model governing equations. The equations obtained describe dislocation motion in an elastically stressed solid, and serve as an extension of the equations of plasticity to the Phase Field Crystal setting. Both finite and small deformation theories are considered, and the corresponding kinetic equations for the fields derived.
