Limit equilibrium of the piece-homogeneous elastic body with interfacial shear cracks at the corner point of the media-separating boundary

1Nazarenko, VM, 1Kipnis, AL
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 3:36-42
Section: Mechanics
Language: Ukrainian

The limit equilibrium of the piece-homogeneous isotropic elastic body with an interfacial shear crack at the corner point of the media-separating boundary is investigated. The exact solution of the corresponding problem of the theory of elasticity for a wedge-shaped body is constructed by the Wiener—Hopf method.

Keywords: corner point, interfacial shear crack, limit equilibrium, media-separating boundary, Wiener—Hopf method
  1. Bantsuri, R. D. (1966). Solution of the first fundamental problem of the theory of elasticity for a wedge having a finite cut. Doklady Akademii nauk SSSR, 167, No. 6, pp. 1256-1259 (in Russian).
  2. Smetanin, B. I. (1968). Some problems on a cracks in an elastic wedge and a layer. Izvestiya Akademii Nauk SSSR. Mechanics of Solids, No. 2, pp. 115-122 (in Russian).
  3. Khrapkov, A. A. (1971). Closed form solutions of problems on the elastic equilibrium of an infinite wedge with nonsymmetric notch at the apex. J. Appl. Math. and Mech., 35, No. 6, pp. 1062-1069. doi:
  4. Keer, L. M., Mendelsohn, D. A. & Achenbach, J. D. (1977). Crack at the apex of a loaded notch. Int. J. Solids and Struct., 13, No. 7, pp. 615-623. doi:
  5. Ouchterlony, F. (1977). Symmetric cracking of a wedge by concentrated loads. Int. J. Eng. Sci., 15, No. 2, pp. 109-116. doi:
  6. Stone, S. F. & Westmann, R. A. (1981). Stress intensity factors for cracked wedges. Int. J. Solids and Struct., 17, No. 3, pp. 345-358. doi:
  7. Nekislykh, E. M. & Ostrik, V. I. (2010). Problems on elastic equilibrium of a wedge with cracks on the axis of symmetry. Mechanics of Solids, 45, No. 5, pp. 743-756. doi:
  8. Kuliev, V. D., Rabotnov, Yu. N. & Cherepanov, G. P. (1978). Braking of a crack at the interface of different elastic media. Izvestiya Akademii nauk SSSR. Mechanics of Solids, No. 4, pp. 120-128 (in Russian).
  9. 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. doi:
  10. Nobl, B. (1962). Using of the Wiener — Hopf method for the solution the partial derivative equations. Moscow: Izda-vo Inostr. lit. (in Russian).