抄録
This paper describes a method for the analysis of bending interaction between a thin plate and unilateral elastic foundation with particular emphasis on the non-contact phenomenon between the element and the medium. The boundary element-linear complementary equation method (BE-LCEM) is presented to solve the underlying problem. Following numerical discretization using the boundary integral equation method for this contact problem, an effective linear complementary equation is then established with two complementary variables for each contact node. Complementary variables are taken as the normal contact force and deflection of the plate. The resulting linear complementary equations are solved by using mathematical programming. Details of the transformation are described. A number of examples are presented to demonstrate the effectiveness of the features implemented. The method is shown to provide good agreement with analytical solutions obtained by other investigators.