Geodesic
On bending an elastic plate with a~delaminated thin rigid inclusion
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 1, pp. 114-126

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Under study is the problem of bending an elastic plate with a thin rigid inclusion which may delaminate and form a crack. We find a system of boundary conditions valid on the faces of the crack and prove the existence of a solution. The problem of bending a plate with a volume rigid inclusion is also considered. We establish the convergence of solutions of this problem to a solution to the original problem as the size of the volume rigid inclusion tends to zero.
Keywords: plate, bending, rigid inclusion, crack, delamination. 
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     author = {A. M. Khludnev},
     title = {On bending an elastic plate with a~delaminated thin rigid inclusion},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {114--126},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a10/}
}
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A. M. Khludnev. On bending an elastic plate with a~delaminated thin rigid inclusion. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 1, pp. 114-126. http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a10/