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R.L. Salganik and K.B. Ustinov, "Deformation Problem for an Elastically Fixed Plate Modeling a Coating Partially Delaminated from the Substrate (Plane Strain)," Mech. Solids. 47 (4), 415-425 (2012)
Year 2012 Volume 47 Number 4 Pages 415-425
DOI 10.3103/S0025654412040061
Title Deformation Problem for an Elastically Fixed Plate Modeling a Coating Partially Delaminated from the Substrate (Plane Strain)
Author(s) R.L. Salganik (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, salganik@ipmnet.ru)
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, ustinov@ipmnet.ru)
Abstract An asymptotic solution of the problem indicated in the title is obtained at distances large compared with the plate width and some promising methods for its use, in particular, for calculating the coefficients in the boundary conditions of the plate elastic fixation which models a coating partially delaminated from the substrate, are outlined. The possibility of considering the delamination in the approximation of the plate weak bending (the plate approximation) and the possibility of neglecting the tangential stress action along the contact boundary are implemented. The substrate is considered as a half-infinite elastic solid. This solution was obtained by using the Fourier transform and the solution of the resulting equation by the Wiener-Hopf method. The obtained asymptotic solution can be used to study problems related to coating delamination, especially on soft thick substrata.
Keywords substrate, coating, elastic fixation, elastic fixation coefficient, Fourier transform, Wiener-Hopf method, asymptotics
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Received 18 November 2010
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