Geodesic
The Essentially over Define Nonclassical Problem for Body with Crack
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 79-84

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One of the basic problems of the fracture mechanics is the initiation and propagation of the crack in a body. In spite of the variety of approaches to the modeling of such processes, the problem is still actual now. The problem of control is a modern one when for real surface data the different tapes of concentrators should be estimated. Here the problem of a crack finding is investigated for the asymptotic information in the tip a crack with the help of the integral of solidness. The problem is seen as essential to define the problem of the theory of elasticity. When for the boundary are given over define condition one to find out the surface fracture. The needed relations and numerical calculations are made.
Keywords: crack, nonclassical problem, elasticity. 
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     author = {A. A. Schwab},
     title = {The {Essentially} over {Define} {Nonclassical} {Problem} for {Body} with {Crack}},
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A. A. Schwab. The Essentially over Define Nonclassical Problem for Body with Crack. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 79-84. http://geodesic.mathdoc.fr/item/VSGTU_2010_5_a8/