Abstract
In this paper, various contact and crack problems for an orthotropic substrate, stiffened by elastic films, are considered. The film is modeled as a membrane and the substrate as an orthotropic half-plane with the principal axes of orthotropy parallel and perpendicular to the boundary. The problem is formulated in terms of a system of singular integral equations. Various asymptotic analyses are carried out in order to determine the nature of the stresses singularities. The special cases for which the solution is obtained and results are provided include the stiffened half-plane without the crack, the cracked half-plane without any stiffeners, the orthotropic half-plane with a single stiffener and a crack emanating from the endpoint of the stiffener, and a broken stiffener on a cracked half-plane. In each case the influence of the relative crack/stiffener dimensions, the film/substrate stiffness ratios, and the material orthotropy on the stress intensity factors is studied and some sample results are given.
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