Motivated by the influence of (micro-)cracks on the effective electrical properties of material systems and components, this contribution deals with fundamental developments on electro-mechanically coupled cohesive zone formulations for electrical conductors. For the quasi-stationary problems considered, Maxwell’s equations of electromagnetism reduce to the continuity equation for the electric current and to Faraday’s law of induction, for which non-standard jump conditions at the interface are derived. In addition, electrical interface contributions to the balance equation of energy are discussed and the restrictions posed by the dissipation inequality are studied. Together with well-established cohesive zone formulations for purely mechanical problems, the present developments provide the basis to study the influence of mechanically-induced interface damage processes on effective electrical properties of conductors. This is further illustrated by a study of representative boundary value problems based on a multi-field finite element implementation.

受（微）裂纹对材料系统和组件有效电学特性影响的推动，这项贡献涉及电导体机电耦合内聚区配方的基础发展。对于所考虑的准平稳问题，麦克斯韦电磁方程式简化为电流的连续性方程式和法拉第感应定律，由此得出了界面处的非标准跃变条件。此外，讨论了电接口对能量平衡方程的贡献，并研究了耗散不等式所带来的限制。加上针对纯机械问题的公认的内聚区公式，本研究为研究机械诱导的界面损伤过程对导体有效电性能的影响提供了基础。通过基于多域有限元实现的代表性边值问题的研究进一步说明了这一点。