Abstract
The nonlinear integro-differential Berger equation is used for description of large deflections of thin plates. An iterative solution of Berger equation by the local boundary integral equation method with meshless approximation of physical quantities is proposed. In each iterative step the Berger equation can be considered as a partial differential equation of the fourth order. The governing equation is decomposed into two coupled partial differential equations of the second order. One of them is Poisson's equation whereas the other one is Helmholtz's equation. The local boundary integral equation method is applied to both these equations. Numerical results for a square plate with simply supported and/or clamped edges as well as a circular clamped plate are presented to prove the efficiency of the proposed formulation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 18 March 2002 / Accepted: 2 October 2002
Rights and permissions
About this article
Cite this article
Sladek, J., Sladek, V. A meshless method for large deflection of plates. Computational Mechanics 30, 155–163 (2003). https://doi.org/10.1007/s00466-002-0375-2
Issue Date:
DOI: https://doi.org/10.1007/s00466-002-0375-2