Geodesic
The intense state of the band of variable thickness at non-uniform heating
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 102-108

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The problem of mechanics of fracture for a band (core) weakened by a rectilinear crack with end zones, a non-uniform temperature field being under action is considered. Thickness of a band is considered a variable. The condition of a limiting condition of a band is received. 
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     author = {M. V. Mirsalimov},
     title = {The intense state of the band of variable thickness at non-uniform heating},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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M. V. Mirsalimov. The intense state of the band of variable thickness at non-uniform heating. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 102-108. http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a13/