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Dr. Taha Hussein Abd Allah Mohamed :: Publications: |
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| Title: | A HYBRID DISPLACEMENT BOUNDARY ELEMENT FORMULATION FOR REISSNER PLATE WITH QUADRATIC ELEMENTS |
| Authors: | Naga, Taha HA and Rashed, Youssef F |
| Year: | 2013 |
| 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 |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | 11 |
| Publisher: | M. Papadrakakis, V. Papadopoulos, V. Plevris (eds.) |
| Local/International: | International |
| Paper Link: | |
| Full paper | Taha Hussein Abd Allah Mohamed_A HYBRID DISPLACEMENT BOUNDARY ELEMENT FORMULATION FOR REISSNER PLATE WITH QUADRATIC ELEMENTS.pdf |
| 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 |
