A new boundary integral formulation for the numerical solution of bending problems of anisotropic plates is proposed in this work. The formulation is based on a Stroh-like formalism for the classical plate theory. In contrast to the conventional formulation, which utilizes Betti’s reciprocal work theorem with appropriate Green’s functions, the proposed formulation makes use of Cauchy’s integral theorem. An advantage of the new formulation is that it provides dual sets of boundary integral equations. With the dual sets, the integral equations to be solved can always be cast into the form of well-posed Fredholm integral equations of the second type for general boundary conditions. Another advantage is that all moment components on the boundary can be obtained without additional numerical differentiations. Numerical examples are given to demonstrate the effectiveness and efficiency of the proposed boundary integral formulation.
Acta Mechanica – Springer Journals
Published: Dec 14, 2015
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