Abstract
The aim of the paper consists in obtaining simple formulae to describe processes related to delamination and buckling of coatings. The model is developed that treats the delaminated part of the coating as a plate with a special attention given to the boundary conditions, which are supposed in the form of the generalized elastic clamping, i.e. it is supposed that components of displacements and angle of rotation at the point of clamping are related to the acting total force and total moment by means of 3 × 3 matrix of elastic coefficients. Knowing this matrix allows determining parameters of buckling such as the critical stress, energy release rate due to further delamination, amplitude of buckling. Explicit expressions for the matrix components were obtained by various techniques. Both the cases of isotropic and anisotropic coating and substrate are considered. On the base of the obtained solution it is shown that for a wide range of parameters the ratio of the obtained critical stress and the critical stress of a rigidly clamped plate is determined by a single dimensionless parameter, which is a combination of the elastic constants of the coating and substrate, and the ratio of delamination length to coating thickness.
Highlights
The interest to effects, related to coatings delaminations causes by importance of the problem for such fields as micro- and nanoelectronics, biology, medicine
The delaminated part of coating was considered as a clamped plate, which corresponds to rigid substrates
The analysis of influence of both substrate compliance and delamination width on the critical stress was performed in [5]
Summary
The interest to effects, related to coatings delaminations causes by importance of the problem for such fields as micro- and nanoelectronics, biology, medicine. The delaminated part of coating was considered as a clamped plate, which corresponds to rigid substrates. The delamination was modeled by a plate, with boundary condition corresponding to generalized elastic clamping, i.e. magnitudes of tangential displacements and gradient of deflection of the clamped edges were supposed to be proportional to tangential force and bending moment acting at the points of clamping.
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