Interaction of an interfacial crack with linear micro-defects under out-of-plane shear loading

TL;DR

This paper presents an asymptotic analysis of how small micro-defects influence the behavior of interfacial cracks under out-of-plane shear, with implications for designing composite materials.

Contribution

It introduces a generic asymptotic formula for crack-defect interaction considering various boundary conditions and defect types, extending previous models.

Findings

Defects can shield or amplify crack propagation effects.

Analytical formulas match previous results for specific cases.

Numerical results suggest applications in composite material design.

Abstract

The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) is described asymptotically by analysing the dipole fields and the corresponding dipole matrices of the defects in question. The method is generic, and it serves interfacial cracks with general distributed loading on the crack faces, taking into account possible asymmetry in the boundary conditions, and in a particular configuration for a crack in a homogeneous medium results agree with those obtained earlier by Gong (1995). Shielding and amplification effects of the defects on the propagation of the main crack along the interface are investigated. Numerical computations based on the explicit analytical formulae show potential applications in the design of composite and fiber reinforced materials.