Interaction between rigid-disc inclusion and penny-shaped crack under elastic time-harmonic wave incidence

Abstract

Keywords:Three-dimensional elastic matrix Interacting rigid-disc inclusion and pennyshaped crack Time-harmonic wave incidence Dynamic stress intensity factors Boundary integral equation method a b s t r a c t Influence of a rigid-disc massive inclusion on a neighboring penny-shaped crack induced by the time-harmonic wave propagation in an infinite elastic matrix is investigated by the numerical solution of associated 3D elastodynamic problem. No restrictions on the mutual orientation of interacting objects and direction of wave incidence are assumed. The inclusion is perfectly bonded with a matrix and supposes the translations and rotations, the crack faces are load-free. Frequency-domain problem is reduced to a system of boundary integral equations (BIEs) relative to the interfacial stress jumps (ISJs) on the inclusion and the crack opening displacements (CODs). The subtraction technique in conjunction with mapping technique, under taking into account the structure of solution at the fronts of inclusion and crack, is applied for regularization of BIEs obtained. A discrete analogue of equations is constructed by using the collocation scheme. Numerical calculations are carried out for the grazing incidence of a plane P-wave on the crack, where the interacting inclusion is coplanar and perpendicular to the crack, and has the same radius. The shielding and amplification effects of inclusion are assessed by the analysis of mode-I stress intensity factor (SIF) in the crack vicinity depending on the wave number, incident wave direction, position of the crack front point, inclusion mass, crack-inclusion orientation and distance.

Examining elastic interaction between a crack and the line of junction of dissimilar semi-infinite plates

“…Based on the numerical solution to the bound three-dimensional elastic-dynamic problem, the influence of massive inclusion of the hard disk on the adjacent slit-like crack was examined in [8].…”

On stress analysis for a penny-shaped crack interacting with inclusions and voids

“…Yang et al (2004) investigated the interaction between an inclusion of arbitrary shape and a crack. The same problem of rigid-disc inclusion and a penny-shaped crack can be found in Mykhas'kiv and Khay (2009). Shodja et al (2003) considered the interaction between cracks and ellipsoidal inhomogeneities.…”

Numerical Simulation of Wave Propagation in 3D Elastic Composites with Rigid Disk-Shaped Inclusions of Variable Mass

“…In 3D case this approach was applied for the numerical simulation of the average dynamic response of composite material containing rigid disk-shaped inclusions of equal mass only [15]. Dynamic stresses near single inclusion of such type under time-harmonic and impulse elastic waves incidence where also investigated [16][17][18].…”