WIT Press


Fundamental Solutions For The Coupled Extension-flexure Laminate Problem

Price

Free (open access)

Paper DOI

10.2495/BEM380191

Volume

61

Pages

12

Page Range

235 - 246

Published

2015

Size

323 kb

Author(s)

S. Syngellakis

Abstract

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.

Keywords

fundamental solutions, general laminate, Fourier transform, residue theorem