Abstract
A study to determine the effects of pin elasticity, friction, and clearance on the stresses near the hole in a pin-loaded orthotropic plate is described. The problem is modeled as a contact elasticity problem, the pin and the plate being two elastic bodies interacting through contact. This modeling is in contrast to previous works, by other investigators, which have assumed that the pin is rigid or that it exerts a known cosinusoidal radial traction on the hole boundary. Neither of these approaches explicitly involves a pin. A complex variable series, a collocation procedure, and iteration were used to obtain numerical results for a variety of plate and pin elastic properties and various levels of friction and clearance. Collocation was used to enforce the boundary conditions at a finite number of points around the hole boundary and iteration was used to find the contact and no-slip regions on the boundary. Details of the numerical scheme are discussed. The study shows that pin elasticity is not as important as clearance, friction, or the elastic properties of the plate in determining contact stresses.
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