Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials

TL;DR

This paper introduces a boundary integral method for analyzing interfacial cracks in bimaterials considering heat and mass diffusion, enabling better modeling of damage in layered electrochemical devices.

Contribution

It presents a novel boundary integral formulation incorporating heat and mass effects for interfacial cracks in dissimilar materials.

Findings

Derivation of integral equations relating load, temperature, and concentration fields.

Application potential for modeling damage in energy device interfaces.

Framework adaptable to various thermodiffusive interface problems.

Abstract

An original boundary integral formulation is proposed for the problem of a semi-infinite crack at the interface between two dissimilar elastic materials in the presence of heat flows and mass diffusion. Symmetric and skew-symmetric weight function matrices are used together with a generalized Betti's reciprocity theorem in order to derive a system of integral equations that relate the applied loading, the temperature and mass concentration fields, the heat and mass fluxes on the fracture surfaces and the resulting crack opening. The obtained integral identities can have many relevant applications, such as for the modelling of crack and damage processes at the interface between different components in electrochemical energy devices characterized by multi-layered structures (solid oxide fuel cells and lithium ions batteries).