Abstract
In this paper the variation of interface stress intensity factors is considered under arbitrary material combinations for several problems such as central internal interface cracks, periodic interface cracks, and edge interface cracks. The stress intensity factors for all these problems have been determined in terms of Dundurs’ parameters α, β by the application of FEM in the authors’ previous papers. In this paper, the variations of the stress intensity factors for all these problems are discussed under arbitrary α, β, then the maximum and minimum values of dimensionless stress intensity factors F I,max, F II,max, F I,min, F II,max are indicated on the map of α, β. As an example, it is found that F I,max always appears when (α, β)= (0.2,0.3), and F I,min always appears when (α, β)= (1,0), for the central internal interface cracks independent of crack length.
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References
Irwin G R. Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech, 1957, 24: 361–364
Murakami Y T. Elastic Mechanics. Tokyo, Japan: Youkendo, 2004
Westergaard H M. Bearing pressures and cracks. J Appl Mech, 1939, 61: 49–53
Irwin G R. Fracture. Handbuch Phys, 1958, VI: 551–590
Koiter W T. An infinite row of collinear cracks in an infinite elastic sheet. Arch Appl Mech, 1959, 28: 168–172
Yuki Y. Mechanics of Interface. Tokyo, Japan: Baifuukan, 1992
Matsumoto T, Tanaka M, Obara R. Stress intensity factor analysis of bimaterial interface cracks based on interaction energy release rate and boundary element sensitivity analysis. Trans Jpn Soc Mech Eng Ser A, 1999, 65(638): 2121–2127
Miyazaki N, Ikeda T, Soda T, et al. Stress intensity factor analysis of interface crack using boundary element method. Trans Jpn Soc Mech Eng Ser A, 1991, 57(541): 2063–2069
Oda K, Kamisugi K, Noda N A. Stress intensity factor analysis of interface cracks based on proportional method. Trans Jpn Soc Mech Eng Ser A, 2009, 75: 467–482
Nisitani H, Teranisi T, Fukuyama K. Stress intensity factor analysis of a biomaterial plate based on the crack tip stress method. Trans Jpn Soc Mech Eng Ser A, 2003, 69: 1203–1208
Noda N A, Zhang Y, Lan X, et al. Stress intensity factor of an interface crack in a bonded plate under uni-axial tension. J Solid Mech Mater Eng, 2009, 4(7): 974–987
Bogy D B. Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. J Appl Mech, 1968, 35: 460–466
Bogy D B. Two edge-bonded elastic wedges of different and wedge angles under surface tractions. J Appl Mech, 1971, 38: 377–386
Zhang Y, Noda N A, Takaishi K T, et al. Stress intensity factors of a central interface crack in a bonded finite plate and periodic interface cracks under arbitrary material combinations. Eng Fract Mech, 2011, 78(6): 1218–1232
Noda N A, Lan X, Michinaka K, et al. Stress intensity factor of an edge interface crack in a bonded semi-infinite plate. Trans Jpn Soc Mech Eng Ser A, 2010, 76(770): 1270–1277
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Zhang, Y., Noda, NA., Lan, X. et al. Variation of stress intensity factors for several interface crack problems under arbitrary material combinations. Sci. China Phys. Mech. Astron. 55, 2128–2134 (2012). https://doi.org/10.1007/s11433-012-4904-5
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DOI: https://doi.org/10.1007/s11433-012-4904-5