Tuesday, 12 October 2004 - 10:55 AM

This presentation is part of : Graduate Student Competition

The Contact Problem of A Rigid Cylinder on an Anisotropic Layer

Wen Jiang and Romesh C. Batra. Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

The problem of contact loading on a non-isotropic half-space has already been studied. However, this paper deals with the contact problem of a rigid cylinder pressed on a thick anisotropic elastic layer connected rigidly to a rigid base. It is assumed that the cylinder is long enough to ensure a plane deformation. The main idea of the method to solve this mixed boundary problem is to obtain the answer through iteration from the solution of the cylindrical contact of isotropic half-plane. We use Vel & Batra's solution, in which Eshelby-Stroh formalism is adopted to solve the generalized plane strain deformations of thick anisotropic laminated plates, to get the displacement and the stress field every time and then modify the stress for the next iteration step according to the displacement of the contact area. The iteration stops until the deformed shape of the contact area is consistent with the cylinder. This kind of method can solve both frictionless problem and the problem with coulomb friction. In addition, comparisons and observations are made for some special cases numerically and graphically based on the above result.

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