- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (1)
- Authors
- Lazarev, Nyurgun P.
- Contact information
- Lazarev, Nyurgun P.: North-Eastern Federal University; Institute of Hydrodynamics, SB RAS , Belinsky, 58, Yakutsk, 677891; Lavrentyeva, 15, Novosibirsk, 630090 Russia , e-mail:
- Keywords
- crack; Timoshenko-type plate; rigid inclusion; energy functional; mutual non-penetration condition
- Abstract
An equilibrium problem for an elastic Timoshenko type plate containing a rigid inclusion is considered. On the interface between the elastic plate and the rigid inclusion, there is a vertical crack. It is assumed that at both crack faces, boundary conditions of inequality type are considered describing a mutual non-penetration of the faces. A solvability of the problem is proved, and a complete system of boundary conditions is found. It is also shown that the problem is the limit one for a family of other problems posed for a wider domain and describing an equilibrium of elastic plates with a vertical crack as the rigidity parameter goes to infinity.
- Pages
- 53-62
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/8695
Journal of Siberian Federal University. Mathematics & Physics / An Equilibrium Problem for the Timoshenko-type Plate Containing a Crack on the Boundary of a Rigid Inclusion
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