Geodesic
Simulation of partial closure crack-visible cavities in burning solid fuel under the influence of body forces
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 70-77.

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On the basis of the theory of elasticity mathematical description of the model for the covering crack-visible cavities with end zones in which cohesive forces of material act, in the burning solid-fuel has been performed. It is accepted that the interaction of crack-visible cavity surfaces under the influence of body and surface loads leads to the appearance of overlap zones of their surfaces. The determination of the unknown parameters that characterize the closure crack-visible cavities, is reduced to the solving of the system of singular integrodifferential equations. Using the procedure of algebraization integral equations are reduced to the system of nonlinear algebraic equations which is solved by successive approximations. Normal and tangential contact stresses, the tractions in the bonds, the values of the size of the end contact zones, where the faces of the crack-visible cavities are closed, have been found. 
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V. M. Mirsalimov; B. E. Rustamov. Simulation of partial closure crack-visible cavities in burning solid fuel under the influence of body forces. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 70-77. http://geodesic.mathdoc.fr/item/ISU_2011_11_1_a8/

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