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The paper is devoted to plane problems of orthotropic bodies in a dual formulation. After presenting the governing equations in terms of stress functions of order one, we determine the two fundamental solutions and set up the dual Somigliana relations both for inner and exterior regions. These include the boundary integral equations of the direct method. A constant stress state at infinity is part of the formulation established for exterior regions. We also derive an integral representation of the stresses. The numerical examples presented illustrate the applicability of the direct boundary integral equations.

On the direct BEM formulation in the dual system of plane elasticity for orthotropic bodies