Geodesic
An equilibrium problem for the Timoshenko-type plate containing a~crack on the boundary of a~rigid inclusion
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 53-62

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: crack, Timoshenko-type plate, rigid inclusion, energy functional, mutual non-penetration condition. 
@article{JSFU_2013_6_1_a5,
     author = {Nyurgun P. Lazarev},
     title = {An equilibrium problem for the {Timoshenko-type} plate containing a~crack on the boundary of a~rigid inclusion},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a5/}
}
TY  - JOUR
AU  - Nyurgun P. Lazarev
TI  - An equilibrium problem for the Timoshenko-type plate containing a~crack on the boundary of a~rigid inclusion
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2013
SP  - 53
EP  - 62
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a5/
LA  - en
ID  - JSFU_2013_6_1_a5
ER  - 
%0 Journal Article
%A Nyurgun P. Lazarev
%T An equilibrium problem for the Timoshenko-type plate containing a~crack on the boundary of a~rigid inclusion
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2013
%P 53-62
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a5/
%G en
%F JSFU_2013_6_1_a5
Nyurgun P. Lazarev. An equilibrium problem for the Timoshenko-type plate containing a~crack on the boundary of a~rigid inclusion. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 53-62. http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a5/