On the elastic equilibrium of a piecewise homogeneous plane with a crack at the corner point of the interface

TitleOn the elastic equilibrium of a piecewise homogeneous plane with a crack at the corner point of the interface
Publication TypeJournal Article
Year of Publication2017
AuthorsKaminsky, AA, Kipnis, LA, Polischuk, TV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.10.034
Issue10
SectionMechanics
Pagination34-40
Date Published10/2017
LanguageRussian
Abstract

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.

Keywordscorner point, crack, interface, piecewise homogeneous plane, stress intensity factor
References: 
  1. Savruk, M. P. (1988). Stress intensity factors in bodies with cracks. Kiev: Naukova Dumka (in Russian).
  2. 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
  3. 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
  4. 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
  5. Panasyuk, V. V. & Savruk, M. P. (1992). Model for plasticity bands in elastoplastic failure mechanics. Mater. Sci., No. 1, pp. 41-57.
  6. 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
  7. 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
  8. 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).
  9. 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
  10. 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
  11. 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
  12. Noble, B. (1962). Using of the Wiener–Hopf method for the solve the Partial derivative equations. Moscow: Izdatelstvo Inostr. lit. (in Russian).