This paper presents a data-driven framework based on distance functional for chemo-mechanical cohesive interfaces to capture transient diffusion and resulting interfacial damage evolution. The framework eliminates reliance on complex constitutive models and phenomenological assumptions, especially avoiding the coupling tangent terms with a given material database. The interfacial chemical potential and its jumps are used to expand the phase space for describing the chemical states of interfaces. Subsequently, a novel chemo-mechanical distance norm, including traction-separation pair, interfacial chemical potential-concentration pair and corresponding chemical potential jump-flux pair, is presented. Momentum conservation law for interfacial tractions and mass conservation law for interfacial concentration are enforced via Lagrange multipliers. For tracking the history-dependent state of the interface damage, an internal variable, termed interface integrity, is introduced to condition the interfacial database and manage the subsets mapping strategies, following physically motivated evolution constraints. Numerical examples are conducted to investigate the efficiency and capability of the present framework. A monotonic loading test validates a good numerical convergence relative to the number of data points. Subsequent cyclic loading simulations, compared with the reference solutions, show that the algorithm is well suitable to predict the history-dependent interface damage evolution under complex loading paths. Finally, the chemo-mechanically coupled examples capture phenomena such as interfacial swelling and interface degradation induced by transient diffusion and stress-driven diffusion. The current work provides a promising tool for understanding chemo-mechanical behaviors of interfaces within heterogeneous composites.

中文翻译：

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无模型化学机械接口：瞬态质量扩散下的历史相关损伤


本文提出了一种基于化学机械粘合界面距离泛函的数据驱动框架，以捕获瞬态扩散和由此产生的界面损伤演化。该框架消除了对复杂本构模型和现象学假设的依赖，特别是避免了正切项与给定材料数据库的耦合。界面化学势及其跳跃用于扩展相空间来描述界面的化学状态。随后，提出了一种新的化学机械距离范数，包括牵引-分离对、界面化学势-浓度对和相应的化学势跳跃-通量对。界面牵引力的动量守恒定律和界面浓度的质量守恒定律通过拉格朗日乘子执行。为了跟踪界面损伤的历史相关状态，引入了一个称为界面完整性的内部变量来调节界面数据库并管理子集映射策略，遵循物理驱动的演化约束。通过数值例子来研究当前框架的效率和能力。单调加载测试验证了相对于数据点数量的良好数值收敛性。随后的循环加载模拟与参考解相比表明，该算法非常适合预测复杂加载路径下历史相关的界面损伤演化。最后，化学机械耦合示例捕获了由瞬态扩散和应力驱动扩散引起的界面膨胀和界面退化等现象。 目前的工作为理解异质复合材料中界面的化学机械行为提供了一个有前景的工具。