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IssuesArchive of Issues2012-4pp.400-414

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R.V. Goldstein and M.N. Perelmuter, "Kinetics of Crack Formation and Growth on the Material Interface," Mech. Solids. 47 (4), 400-414 (2012)
Year 2012 Volume 47 Number 4 Pages 400-414
DOI 10.3103/S002565441204005X
Title Kinetics of Crack Formation and Growth on the Material Interface
Author(s) R.V. Goldstein (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo†101, str.†1, Moscow, 119526 Russia, goldst@ipmnet.ru)
M.N. Perelmuter (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo†101, str.†1, Moscow, 119526 Russia, perelm@ipmnet.ru)
Abstract A model of thermal fluctuation crack formation in a weakened bond region on a material interface is proposed. The weakened bond region is modeled by a bridged crack whose properties vary in time according to the thermal fluctuation mechanism. It is assumed that at least one of the materials is a polymer and the crack part occupied by bridges (the end region) is not small compared with the crack length. The stresses in the bridges and the kinetic dependence of the bond density in the crack end region are determined by solving a system of singular integrodifferential equations. The condition for the crack-defect nucleation is the decrease to the critical value of the average bond density on the corresponding part of the weakened bond region. Numerical results permitting one to estimate the crack nucleation time and the typical levels of external loads for the chosen material parameters are presented.
Keywords crack formation and growth, end region, thermal fluctuation fracture, durability, integrodifferential equations
References
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Received 30 November 2011
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