Surface loading of layer-substrate system under plane- strain condition with surface effects

Abstract eng:
Layered-substrate system subjected to arbitrary normal and tangential surface loading with surface effects based on GurtinMurdoch model is solved semi-analytically through the combination of Airy stress function and Fourier integral transforms under plane strain condition. The obtained solution is applied to study the influence of layer thickness, modulus mismatch between layer and substrate, surface parameters on stresses in layer-substrate system. Lastly a map is presented which indicates whether a layer-substrate system analysis is required or a homogeneous analysis based on layer properties is enough for a given shear modulus mismatch ratio and layer thickness.

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