Symmetric Galerkin BEM for shear deformable plates

✍ Scribed by J. J. Perez-Gavilan; M. H. Aliabadi

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 330 KB
• Volume: 57
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.734

✦ Synopsis

Abstract

A symmetric Galerkin boundary element formulation is developed for shear deformable plates. A mixed strategy is used for the integration process, i.e. partial regularization using simple solutions followed by a singularity subtraction technique. For the shear equation, full regularization is achieved using new kernel relationships found through a constant shear mode of deformation. Some of the strong singular integrals are avoided altogether by using a modified traction obtained through a very simple variable change; appropriate boundary conditions are defined. Details of the implementation are given and several example problems solved to verify the accuracy of the proposed formulation. Copyright © 2003 John Wiley & Sons, Ltd.