Material interfaces occur at various length scales and may exhibit significantly different properties than the surrounding bulk. Motivated by their importance for electrical engineering applications such as wire bonds and electrically conductive adhesives, the focus of the present work is on material interfaces in electrical conductors. In order to approximate the physical interphase (of finite thickness) as a (zero-thickness) cohesive zone-type interface in macroscale simulations, scale-bridging relations are established that relate the apparent electro-mechanical interface properties to the underlying microstructure. A finite element-based implementation is discussed with particular focus lying on the efficient calculation of the flux-type macroscale quantities and the associated generalised algorithmic consistent tangent stiffness tensors. Analytical solutions are derived for validation purposes and representative boundary value problems are studied.

中文翻译：

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电导体材料界面的计算多尺度建模

材料界面以不同的长度尺度出现，并且可能表现出与周围块体显着不同的特性。由于它们对于引线键合和导电粘合剂等电气工程应用的重要性，目前工作的重点是电导体中的材料界面。为了在宏观模拟中将物理界面（有限厚度）近似为（零厚度）内聚区型界面，建立了尺度桥接关系，将表观机电界面特性与底层微观结构联系起来。讨论了基于有限元的实现，特别关注通量型宏观量和相关广义算法一致切线刚度张量的有效计算。出于验证目的导出解析解，并研究代表性的边值问题。