Fundamental solutions for the coupled extension-flexure laminate problem

The subject matter of this paper relates to general laminates comprising orthotropic layers with arbitrarily oriented material axes. Fundamental solutions are derived for the thin laminated plate theory based on Kirchhoff hypothesis. The analysis relies on Fourier transforms whose inverses are obtained using contour complex variable integration of analytic functions. This process allows the derivation of explicit and compact forms for the fundamental solutions which are subsequently introduced into suitable reciprocity relations to obtain boundary integral equations for the general laminate coupled extension-flexure problem