BEM based on discontinuous solutions in the theory of Kirchhoff plates on an elastic foundation. (English) Zbl 1187.74253
Summary: We examine the construction of discontinuous solutions for Kirchhoff plates on a generalized elastic foundation. By discontinuous solutions we mean solutions which, when crossing certain lines, have discontinuities of the first type. In the theory of Kirchhoff plates, there may be jumps of the transverse deflection, slope angle, bending moment and equivalent shear force. Initially we construct the solutions due to concentrated jumps. Using them as Green functions, we express discontinuous solutions that are the base for the indirect method of boundary integral equations.
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