The present work deals with the mechanical behaviour of thin films bonded to a homogeneous elastic orthotropic half plane under\nplain strain condition and infinitesimal strain. Both the film and semi-infinite substrate display linear elastic orthotropic behaviour.\nBy assuming perfect adhesion between film and half plane together with membrane behaviour of the film, the compatibility\ncondition between the coating and substrate leads to a singular integral equation with Cauchy kernel. Such an equation is\nstraightforwardly solved by expanding the unknown interfacial stress in series of Chebyshev polynomials displaying square-root\nsingularity at the film edges. This approach allows handling the singular behaviour of the shear stress and, in turn, reducing\nthe problem to a linear algebraic system of infinite terms. Results are found for two loading cases, with particular reference to\nconcentrated axial forces acting at the edges of the film. The corresponding mode II stress intensity factor has been assessed, thus\nproviding the stress concentrations at both ends of the covering. Possible applications of the results here obtained range from\nMEMS, NEMS, and solar Silicon cell for energy harvesting to welded joint and building foundation.
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