发表机构
Institute of Metallurgy and Materials Science, Polish Academy of Sciences（波兰科学院冶金与材料科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究推导了适用于任意坐标系的刚度与曲率张量收缩的显式分量表达式，为含界面刚度的三维计算模型提供了物理一致的协变基础。
AI 中文摘要
晶体材料的界面受界面能各向异性的强烈影响，此情境中的关键量是界面刚度张量，它表征界面能对界面取向变化的响应，且在确定界面迁移的驱动力时发挥作用。后者可通过刚度张量与曲率张量的收缩来表达，涉及张量的实际计算必然依赖其各分量。本研究推导了刚度张量与曲率张量收缩的显式分量表达式，该表达式适用于任意坐标系。在此公式中，为得到驱动力，曲率张量需与原本定义在三维欧几里得空间的、与刚度相关的张量在界面流形上的拉回进行收缩。这种协变处理为涉及界面刚度的三维计算模型建立了物理上一致的基础。
英文摘要
Interfaces of crystalline materials are strongly affected by the anisotropy of interface energy. A key quantity in this context is the interface stiffness tensor, which characterizes the response of the interface energy to changes in interface orientation and plays a role in determining the driving force for interface migration. The latter is expressible via contraction of the stiffness tensor and interface curvature tensor. Practical computations involving tensors necessarily rely on their individual components. In this work, an explicit component-wise expression is derived for the contraction of the stiffness and curvature tensors, valid in arbitrary coordinate systems. Within this formulation, to get the driving force, the curvature tensor is contracted with the pullback of a stiffness-related tensor - originally defined in three-dimensional Euclidean space - onto the interface manifold. This covariant treatment establishes a physically consistent foundation for three-dimensional computational models involving interface stiffness.
Comments25 pages, 5 figures, 36 references
DOI：10.1016/j.actamat.2026.122700
