Scaling as a selection principle for asymptotic chemoelastic interface laws

Asymptotic interface laws are calculated to replace vanishingly linear chemo-mechanical interphases. The elastic, chemical, transport, and chemo-mechanical coupling parameters of the interphase are scaled with the thickness parameter. Different scalings lead to distinct transmission regimes. The limit models include perfect, resistive, imperfect, and coupled chemo-mechanical interfaces. The main original feature is the identification of a coupled regime in which mechanical imperfectness, chemical storage, and species exchange remain linked at the limit interface. In this regime, the displacement and flux jumps are coupled, allowing the interface to exchange chemical species with the adherents. This behavior is interpreted as an interfacial excess contribution that emerges from the asymptotic reduction of the thin interphase. A one-dimensional example shows that, unlike the other regimes, the coupled interface law activates a transient chemical perturbation near the interface and induces a rate-dependent response to loading. The study emphasizes the role of scaling as a selection principle for chemoelastic interface laws and highlights its relevance for the reduced modeling of thin multiphysical interphases.