ABSTRACT

Abstract Wave propagation in two-phase materials with interface cracks is investigated. Wave scattering by a single interface crack is first analyzed by using a boundary integral equation method. Then, wave propagation in a two-phase material with randomly distributed inclusions permeated by randomly located interface cracks of equal size is considered. Numerical results are presented and discussed, to reveal the effects of the inclusion density, the size of the interface crack, the wave frequency, and the wave incidence angle on the elastodynamic stress intensity factor, the attenuation coefficient, and the effective wave velocity. Keywords: Two-Phase Materials, Interface Cracks, Elastodynamic Stress Intensity Factor, Wave Attenuation and Effective Wave Velocity

1 Introduction

Interface defects such as interface debonding or interface microcracks in two-phase materials may produce additional wave attenuation and dispersion. Here, attenua­ tion refers to the diminishing of wave intensity or wave amplitude as a wave propaga­ tes through a two-phase material, while dispersion refers to the shape distortion of a wave due to the frequency dependence of the phase velocity. Since both attenuation and phase velocity are measurable quantities and their changes are related to the damage level of a material, analysis of wave propagation in two-phase materials with interface defects is of particular interests to ultrasonic quantitative nondestructive evaluation for detecting and characterizing the damage states of particulate or fiberreinforced composites. With this goal in mind, wave propagation in a two-phase material with interface cracks is analyzed in this paper.