Micromechanical Dynamic Influence of Rigid Disk-Shaped Inclusion on Neighboring Crack in 3D Elastic Matrix

Mykhas’kiv, V. V.; Khay, Oksana; Sládek, J.; Sládek, V.; Zhang, Chuan Zeng

doi:10.4028/www.scientific.net/msf.567-568.133

MSF

2007

DOI: 10.4028/www.scientific.net/msf.567-568.133

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Micromechanical Dynamic Influence of Rigid Disk-Shaped Inclusion on Neighboring Crack in 3D Elastic Matrix

V. V. Mykhas’kiv

Oksana Khay

J. Sládek

et al.

Abstract: A 3D time-harmonic problem for an infinite elastic matrix with an arbitrarily located interacting rigid disk-shaped inclusion and a penny-shaped crack is analyzed by the boundary integral equation method. Perfect bonding between the matrix and the moving inclusion is assumed. The crack faces are subjected to time-harmonic loading. The boundary integral equations (BIEs) obtained are solved numerically by the implementation of regularization and discretization procedures. Numerical calculations are carried out f… Show more

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

Mykhas’kiv

Khay

2009

International Journal of Solids and Structures

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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.

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

Mykhas’kiv

Khay

2009

International Journal of Solids and Structures

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

Lee

Tran

2010

International Journal of Solids and Structures

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a b s t r a c tAn analytical approach to calculate the stress of an arbitrary located penny-shaped crack interacting with inclusions and voids is presented. First, the interaction between a penny-shaped crack and two spherical inclusions is analyzed by considering the three-dimensional problem of an infinite solid, composed of an elastic matrix, a penny-shaped crack and two spherical inclusions, under tension. Based on Eshelby's equivalent inclusion method, superposition theory of elasticity and an approximation according to the Saint-Venant principle, the interaction between the crack and the inclusions is systematically analyzed. The stress intensity factor for the crack is evaluated to investigate the effect of the existence of inclusions and the crack-inclusions interaction on the crack propagation. To validate the current framework, the present predictions are compared with a noninteracting solution, an interacting solution for one spherical inclusion, and other theoretical approximations. Finally, the proposed analytical approach is extended to study the interaction of a crack with two voids and the interaction of a crack with an inclusion and a void.

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Micromechanical Dynamic Influence of Rigid Disk-Shaped Inclusion on Neighboring Crack in 3D Elastic Matrix

Cited by 2 publications

References 3 publications

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

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

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

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