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IssuesArchive of Issues2007-1pp.149-156

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I. N. Dashevskii, "To the kinetics of diffusion cracks," Mech. Solids. 42 (1), 149-156 (2007)
Year 2007 Volume 42 Number 1 Pages 149-156
Title To the kinetics of diffusion cracks
Author(s) I. N. Dashevskii (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, Russia, 119526, dash@ipmnet.ru)
Abstract For a disk-shaped crack in an infinite elastic medium and a thin disk-shaped delamination over the boundary of the half-space, as well as for similar crack-strips, we use a new unified method (based on the energy approach to the use of the Clapeyron theorem) for deriving the kinetic equations describing the growth of these defects under gas diffusion into them. An analysis of the causes for these equations to be identical permits (with several stipulations) generalizing the results obtained for these problems to several other important cases: a crack on the boundary of the adhesion junction of two compliant half-spaces with different mechanical and diffusion properties (in this case, the boundary can be either penetrable or impenetrable), taking anisotropy into account, etc. We show that precisely by the same causes (and with the same restrictions), the results obtained earlier in studying the laws of growth of a disk-shaped crack in an infinite elastic medium depending on the laws of gas influx into the crack can be generalized to the same class of cases.
References
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Received 05 November 2004
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