On the elastic equilibrium of a piecewise homogeneous plane with a crack at the corner point of the interface
DOI:
https://doi.org/10.15407/dopovidi2017.10.034Keywords:
corner point, crack, interface, piecewise homogeneous plane, stress intensity factorAbstract
The static symmetric problem of the theory of elasticity for a piecewise homogeneous isotropic plane with the interface in the form of angle sides and a crack at the corner point is considered. The exact solution of the Wiener—Hopf equation of the problem is constructed. The stress intensity factor at the crack tip is determined.
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Savruk, M. P. (1988). Stress intensity factors in bodies with cracks. Kiev: Naukova Dumka (in Russian).
Khrapkov, A. A. (1971). Closed form solutions of problems on the elastic equilibrium of an infinite wedge with nonsymmetric notch at the apex. Appl. Math. Mech., 35, No. 6, pp. 1062-1069 (in Russian). https://doi.org/10.1016/0021-8928(71)90105-5
Kaminskii, A. A., Kipnis, L. A. & Khazin, G. A. (2002). Analysis of the Plastic Zone at a Corner Point by the Trident Model. Int. Appl. Mech., 38, No. 5, pp. 611-616. https://doi.org/10.1023/A:1019766106040
Nekislykh, K. M., & Ostrik, V. I. (2010). Problems on elastic equilibrium of a wedge with cracks on the axis of symmetry. Mech. of Solids, No. 5, pp. 111-129 (in Russian). https://doi.org/10.3103/S0025654410050109
Panasyuk, V. V. & Savruk, M. P. (1992). Model for plasticity bands in elastoplastic failure mechanics. Mater. Sci., No. 1, pp. 41-57.
Loboda, V. V. & Sheveleva, A. E. (2003). Determining Prefracture Zones at a Crack Tip Between Two Elastic Orthotropic Bodies. Int. Appl. Mech., 39, No. 5, pp. 566-572. https://doi.org/10.1023/A:1025139625891
Kaminsky, A. A., Dudik, M. V. & Kipnis, L. A. (2007). Initial kinking of an interface crack between two elastic media. Int. Appl. Mech., 43, No. 10, pp. 1090-1099. https://doi.org/10.1007/s10778-007-0109-4
Kuliev, V. D., Rabotnov, Yu. N. & Cherepanov, G. P. (1978). Crack retardation at the boundary separating different elastic materials. Mech. of Solids, No. 4, pp. 120-128 (in Russian).
Kaminsky, A. A., Kipnis, L. A. & Kolmakova, V. A. (2008). Model of the fracture process zone at the tip of a crack reaching the nonsmooth interface between elastic media. Int. Appl. Mech., 44, No. 10, pp. 1084-1092. https://doi.org/10.1007/s10778-009-0131-9
Kipnis, L. A. & Polishchuk, T. V. (2009). Analysis of the plastic zone at the corner point of interface. Int. Appl. Mech., 45, No. 2, pp. 159-168. https://doi.org/10.1007/s10778-009-0170-2
Kaminsky, A. A., Kipnis, L. A. & Polishchuk, T. V. (2012). Initial fracture process zone at the corner point of the interface between elastic bodies. Int. Appl. Mech., 48, No. 6, pp. 700-709. https://doi.org/10.1007/s10778-012-0546-6
Noble, B. (1962). Using of the Wiener–Hopf method for the solve the Partial derivative equations. Moscow: Izdatelstvo Inostr. lit. (in Russian).
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