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A static analysis of circular and elliptic Kirchhoff plates resting on internal elas- tic supports by the Boundary Element Method is presented in the paper. Elastic support has the character of Winkler-type elastic foundations. Bilateral and unilateral internal con- straints are taken into consideration. The Betti's theorem is used to derive the boundary- domain integral equation. The direct version of the boundary element method is presented and simplified boundary conditions, including curvilinear boundary elements, are intro- duced. The collocation version of boundary element method with non-singular approach is presented.

Static analysis of circular and elliptic plates resting on internal flexible supports by the Boundary Element Method