Table of Contents
ISRN Mechanical Engineering
Volume 2011, Article ID 295904, 14 pages
Research Article

Numerical Solution of the Kirchhoff Plate Bending Problem with BEM

Departamento de Materiales Compuestos, Centro de Investigación Científica de Yucatán A.C., Calle 43, No. 130, Colonia Chuburná de Hidalgo, 97200 Mérida, YC, Mexico

Received 27 January 2011; Accepted 24 March 2011

Academic Editors: T. K. Basak and S. Cartmell

Copyright © 2011 V. V. Zozulya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Direct approach based on Betty's reciprocal theorem is employed to obtain a general formulation of Kirchhoff plate bending problems in terms of the boundary integral equation (BIE) method. For spatial discretization a collocation method with linear boundary elements (BEs) is adopted. Analytical formulas for regular and divergent integrals calculation are presented. Numerical calculations that illustrate effectiveness of the proposed approach have been done.