An Elastic Layer with a Penny-Shaped Crack Subjected to Internal Pressure(Modeling & Simulation)

抄録

This study examines an elastic layer with a penny-shaped crack situated in its middle plane. The crack surfaces are subjected to a uniform pressure. The layer surfaces are free from stress for case I while smooth-clamp conditions are prescribed on the layer surfaces for case II. By assuming series expansions for the normal displacement on the crack surfaces, both cases are reduced to analytical and exact solutions through infinite system of simultaneous equations. Numerical results are obtained to examine the effects of layer thickness and boundary conditions of the layer surfaces on stress distributions.