Abstract
A mathematical model of crack nucleation in a perforated heat-releasing material attenuated by a biperiodic system of cooling cylindrical channels with a circular cross section is constructed. Solving the problem of equilibrium of an isotropic perforated heat-releasing material with temperature-dependent properties containing nucleating cracks is reduced to solving systems of algebraic and nonlinear singular integral equations with a Cauchy-type kernel. The forces in crack nucleation regions are found by using the solution of these equations. The condition of crack emergence is formulated with allowance for the criterion of ultimate stretching of bonds in the material.
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Original Russian Text © A.R. Vagari, V.M. Mirsalimov.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 53, No. 4, pp. 138–148, July–August, 2012.
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Vagari, A.R., Mirsalimov, V.M. Nucleation of cracks in a perforated heat-releasing material with temperature-dependent elastic properties. J Appl Mech Tech Phy 53, 589–598 (2012). https://doi.org/10.1134/S002189441204013X
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DOI: https://doi.org/10.1134/S002189441204013X