Finite Element Analysis of Stress Intensity Factors in the Cracking of Brittle Materials under Biaxial Loading

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The present study evaluates the von Mises stress distribution around the crack tip and stress Intensity Factor (SIF) under biaxial mixed modes during the propagation of a crack interacting with two nearby circular inclusions. The finite element method is used for determination of stress intensity factors by ABAQUS software. The stress field and the SIF are determined for different crack’s length .A brittle material such as a glass having an equivalent elasticity modulus and a Poisson rain this research work. Besides, the proposed model is a rectangular specimen with an edge crack subjected to tensile stresses according to the modes (I & II) of rupture .Obtained results are compared and agreed with those determined by other researchers.

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67-72

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April 2016

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. Chabaat, H. Ayas; Complex variable Green's function for crack–microcrack interactions, Int. Jour. of Key Engineering Materials, Vol. 465, 123-128, publication, (2011).

DOI: 10.4028/www.scientific.net/kem.465.123

Google Scholar

[2] N. F. Muskhelishvili. Some basic problem of the mathematical theory of elasticity, The Netherlands: Noordhoof, (1953).

Google Scholar

[3] M. Chabaat, Comparisons of minimal principal stress with crazes trajectories in a brittle Material,. International Journal of fracture, (1988).

Google Scholar

[4] M. L. Williams, On the Stress at the Base of a Stationary Crack, " Journal of Applied Mechanics, Transactions ASME, Vol. 24, pp.109-114 (1957).

Google Scholar

[5] A. Chudnovsky and M. Kachanov; Interaction of a crack with a field of micro-cracks, International Journal of Engineering Sciences, Vol. 21, pp.1009-1018, (1983).

Google Scholar

[6] G. Irwin; Analyses of stresses and strains near the end of a crack traversing a plate, Journal of Applied Mechanics, Vol. 24, (1957).

DOI: 10.1115/1.4011547

Google Scholar

[7] H. Hamli Benzahar and M. Chabaat; Crack in brittle material at presence of a dislocation, Advanced Materials Research, Vol. 921, pp.2043-2047, (2014).

DOI: 10.4028/www.scientific.net/amr.919-921.2043

Google Scholar

[8] H. Hamli Benzahar and M. Chabaat; Stress field and energy analysis during the fracture of Composite materials, Journal of Applied Mechanics and Materials. p.524 (2014).

DOI: 10.4028/www.scientific.net/amm.532.524

Google Scholar

[9] L. R. F. Rose, International Journal of Fracture, 31 (1986).

Google Scholar