Hypersingular boundary element formulation for Reissner plates
| Autor: | M.H. Aliabadi, Carlos Alberto Brebbia, Youssef F. Rashed |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Applied Mathematics
Mechanical Engineering Mathematical analysis Boundary (topology) Bending of plates Mixed boundary condition Condensed Matter Physics Boundary knot method Rigid body Displacement (vector) symbols.namesake Singularity Mechanics of Materials Modeling and Simulation Taylor series symbols General Materials Science Mathematics |
| Zdroj: | International Journal of Solids and Structures. 35:2229-2249 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/s0020-7683(97)00188-1 |
| Popis: | In this work, the hypersingular boundary element formulation for plate bending analysis based on Reissner theory is presented. First order Taylor expansion are used to deal with the strong singularity O(1/r), whereas, rigid body considerations together with the Taylor expansion are used to compute the hypersingular kernels O(l/r2). The plate boundary is discretised into quadratic isoparametric discontinuous boundary elements to satisfy the continuity requirements for the boundary unknowns. Several examples are tested, including thin and thick plates. The results show a good agreement with both the analytical solutions and the corresponding results for the standard displacement boundary element formulation. © 1998 Elsevier Science Ltd. All rights reserved |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect