Abstract: A solution for contact problem based on contact surface geometry is presented. The method uses discrete analytical surfaces to represent the surfaces between deformable and rigid bodies. The contact constraints are employed with consideration of geometry characteristics of the discrete analytical surfaces. Then, the constraints are introduced into the general governing equations to solve the contact problem directly. The present method does not increase the DOFs of the contact problem but avoids the selection of Penalty numbers in Penalty function method comparision with traditional Lagrange multiplier and Penalty function method. It is illustrated through numerical example that, the present work are proven to be valid and efficient.

Key words: Contact constraints, Analytical surface, Contact problem