Geodesic
Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 2, pp. 50-58 
V. V. Glagolev; L. V. Glagolev; A. A. Markin. Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 2, pp. 50-58. http://geodesic.mathdoc.fr/item/ISU_2010_10_2_a6/
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     title = {Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The flaw is considered as a physical slit, and a material lying on continuation of a slit, shapes an interaction stratum between its coast sides. The given approach, unlike the concept of a mathematical slit, allows to establish laws of change of voltages and strains in deadlock field. It gives the chance to specify the values of exterior loadings corresponding to transition of a stratum in a plastic state. On the bases of a postulate on the linear distribution law of a field of travels on a thickness of a stratum the system of the integro-differential equations concerning travels of its boundaries is gained. The variant of the numerical solution of a task in view is viewed, comparison of effects for a special case with the known asymptotic solution is given.

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