Influence of Small Cavity Existing in the Vicinity of 3D Crack Front

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In this paper, the interference between arbitrary shaped 3D planar crack and cavity existing in the vicinity of the crack front is evaluated. It is assumed that the treated region is unbounded and subjected to uniaxial tension at infinity. The interaction between crack and cavity is treated by body force method. The surface of the crack and cavity is modeled by number of small triangular elements and the density of body force and weight function of the force doublet is assumed at a constant on each triangle. Numerical stress analyses are examined by changing the radius of cavity and the distance between the cavity and crack front systematically. Numerical results are presented for the stresses along the centerline between cavity and crack. To validate the current analysis, numerical results are compared with the results in the literature and found good agreement.

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5-8

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September 2015

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. K. Lee and X. H. Tran, On stress analysis for a penny-shaped crack interacting with inclusions and voids, International Journal of Solid and Structures, Vol. 47, (2010), pp.549-558.

DOI: 10.1016/j.ijsolstr.2009.09.007

Google Scholar

[2] V. S. Kirilyuk, Interaction of an ellipsoidal inclusion with an elliptic crack in an elastic material under triaxial tension, International Applied Mechanics, Vol. 39, (2003), pp.704-712.

Google Scholar

[3] H. M. Shodja, I. Z. Rad and R. Soheilifard, Interacting cracks and ellipsoidal inhomogeneities by the equivalent inclusion method, Journal of Mechanics and Physics of solids, Vol. 51, (2003), pp.945-960.

DOI: 10.1016/s0022-5096(02)00106-0

Google Scholar

[4] V. I. Kushch, Interacting cracks and inclusion in a solid by multiple expansion method, International Journal of Solid Structures, Vol. 35, (1998), pp.1751-1762.

DOI: 10.1016/s0020-7683(97)00159-5

Google Scholar

[5] H. Nisitani, The two-dimensional stress problem solved using an electric digital computer, Bulletin of the Japan Society of Mechanical Engineers, Vol. 11, (1968), pp.14-23.

DOI: 10.1299/jsme1958.11.14

Google Scholar

[6] A. E. H. Love, A Treatise on Mathematical Theory of Elasticity, 4th edition, New York Dover Publication, (1944), pp.183-185.

Google Scholar