Interaction of penny-shaped crack and spherical inclusion in 3d particulate elastic composite: biem calculation of mode-i dynamic stress intensity factor
Oksana Khay1, Viktor Mykhas’Kiv1, Jan Sladek2, Vladimir Sladek2, Chuanzeng Zhang3
1Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU, 3-b Naukova Str., 79060 Lviv, Ukraine. 2Department of Mechanics, Institute of Construction and Architecture, 9 Dubravska Cesta, 84503 Bratislava, Slovakia. 3Department of Civil Engineering, University of Siegen, 9-11 Paul-Bonatz-Str., 57076 Siegen, Germany.
DOI:
https://doi.org/10.7494/cmms.2009.1.0204
Abstract:
The interaction between a penny-shaped crack and a spherical elastic inclusion embedded in an infinite elastic matrix subjected to a time-harmonic crack-face loading is investigated. Boundary integral equations (BIEs) are applied for the numerical solution of the problem in the frequency domain. The singularity subtraction and the mapping techniques in conjunction with a collocation scheme are implemented for the regularization and the discretization of the BIEs by taking into account the local structure of the solution at the crack front. As a numerical example, a crack under tensile loading of constant amplitude, where the center of the interacting particle lies in the crack plane, is considered. The reinforcing properties of the inclusion are revealed by the mode-I dynamic stress intensity factor (SIF) as a function of angular coordinate of the crack front for different frequencies and material combinations of the matrix and the inclusion.
Cite as:
Khay, O., Mykhas’Kiv, V., Sladek, J., & Sladek, V. Zhang, C., (2009). Interaction of penny-shaped crack and spherical inclusion in 3d particulate elastic composite: biem calculation of mode-i dynamic stress intensity factor. Computer Methods in Materials Science, 9(1), 30 – 36. https://doi.org/10.7494/cmms.2009.1.0204
Article (PDF):
Keywords:
3D particulate composite, Matrix penny-shaped crack, Spherical elastic inclusion, Time-harmonic loading, Dynamic stress intensity factor, Boundary integral equations method
References: