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Inverse problem of fracture mechanics for a compound cylinder

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Abstract

We consider the plane problem of fracture mechanics for a compound cylinder. We assume that the sleeve (internal cylinder) is reinforced with negative allowance by the external cylinder and that near the sleeve surface there are N arbitrarily located rectilinear cracks of length 2l k (k = 1, 2, ..., N). A minimax criterion is used to determine the negative allowance in the junction theoretically minimizing the fracture parameters (the stress intensity coefficients) of the compound cylinder. A simplified method for minimizing the fracture parameters of the compound cylinder is considered separately.

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Correspondence to V. M. Mirsalimov.

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Original Russian Text © V.M. Mirsalimov, 2009, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2009, No. 1, pp. 165–173.

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Mirsalimov, V.M. Inverse problem of fracture mechanics for a compound cylinder. Mech. Solids 44, 141–148 (2009). https://doi.org/10.3103/S0025654409010154

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