An Closed Form Solution for Antiplane Problem of Doubly Periodic Non-Uniform Cracks

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Abstract:

Inhomogeneous materials with doubly periodic non-uniform cracks under antiplane shear is dealt with. By using conformal mapping technique and elliptic function theory, the stress field and stress intensity factor at the tip of each crack are derived in closed form. Numerical examples show the influences of some microstructure parameters of crack distribution on stress intensity factor.

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Key Engineering Materials (Volumes 324-325)

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311-314

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November 2006

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] W.R. Delameter, et al ASME Journal of Applied Mechanics, 42, 74-80. (1975).

Google Scholar

[2] B.L. Karihaloo: Fracture of solids containing arrays of cracks, Eng. Fract. Mech, 12, 49-77. (1979).

DOI: 10.1016/0013-7944(79)90064-x

Google Scholar

[3] Y. Eugene Pak, Elena Goloubeva Mechanics of Materials, 24, 287-303. (1996).

Google Scholar

[4] J. Wang et al., Int. J. Solids and Structures, 37, 4261-4273. (2000).

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[5] T.H. Hao: A closed form solution for the antiplane problem of the double period cracks. J. Tsinghua University, 19, 11-18. (1979) (in Chinese) Fig. 3 Effect of b1 on β and β (b2=0. 5) Fig. 4 Effect of b2 on β and , β (b1=0. 5).

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