Staff Members - Benha University
A HYBRID DISPLACEMENT BOUNDARY ELEMENT FORMULATION FOR REISSNER PLATE WITH QUADRATIC ELEMENTS
COMPDYN 2013 4 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering • 2013
Publication Information
Authors
Naga, Taha HA and Rashed, Youssef F
Keywords
Boundary element method, Variational formulation, Shear-deformable plates,
Stiffness matrix.
Journal
COMPDYN 2013 4 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
Publisher
M. Papadrakakis, V. Papadopoulos, V. Plevris (eds.)
Volume
Not Available
Issue
Not Available
Pages
11
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
This paper presents the derivation of a new boundary element formulation for plate
bending problems. The Reissner’s plate bending theory is employed. Unlike the conventional
direct or indirect formulations, the proposed integral equation is based on minimizing the
relevant energy functional. In doing so, variational methods are used. A collocation based
series, similar to the one used in the indirect discrete boundary element method, is used to
remove domain integrals. Hence, a fully boundary integral equation is formulated. The main
advantage of the proposed formulation is production of a symmetric stiffness matrix similar to
that obtained in the finite element method. Numerical examples are presented to demonstrate
the accuracy and the validity of the proposed formulation
bending problems. The Reissner’s plate bending theory is employed. Unlike the conventional
direct or indirect formulations, the proposed integral equation is based on minimizing the
relevant energy functional. In doing so, variational methods are used. A collocation based
series, similar to the one used in the indirect discrete boundary element method, is used to
remove domain integrals. Hence, a fully boundary integral equation is formulated. The main
advantage of the proposed formulation is production of a symmetric stiffness matrix similar to
that obtained in the finite element method. Numerical examples are presented to demonstrate
the accuracy and the validity of the proposed formulation