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A problem on reinforcement of a plate with a cut by a two-dimensional covering strap. (Russian, English) Zbl 1150.74070

Prikl. Mat. Mekh. 71, No. 1, 43-55 (2007); translation in J. Appl. Math. Mech. 71, No. 1, 40-51 (2007).
The paper deals with a problem on reinforcement of an elastic plate with a cut by a two-dimensional elastic strap completely covering the cut and rigidly connected with the plate along its boundary. In terms of special integral representations of complex potentials describing stress state of the plate and strap the problem is reduced to the system of three singular integral equations. Univalent solvability of the system is proved. Some examples are presented.

MSC:

74K20 Plates
74A10 Stress
74G70 Stress concentrations, singularities in solid mechanics
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References:

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