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Plane stress and plate bending coupling in BEM analysis of shallow shells
Author(s) -
Wen P. H.,
Aliabadi M. H.,
Young A.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000720)48:8<1107::aid-nme913>3.0.co;2-s
Subject(s) - boundary element method , reciprocity (cultural anthropology) , mathematical analysis , bending of plates , elasticity (physics) , boundary knot method , finite element method , mathematics , singular boundary method , plane stress , integral equation , shear (geology) , boundary (topology) , geometry , bending , structural engineering , materials science , engineering , composite material , psychology , social psychology
In this paper the shear deformable shallow shells are analysed by boundary element method. New boundary integral equations are derived utilizing the Betti's reciprocity principle and coupling boundary element formulation of shear deformable plate and two‐dimensional plane stress elasticity. Two techniques, direct integral method (DIM) and dual reciprocity method (DRM), are developed to transform domain integrals to boundary integrals. The force term is approximted by a set of radial basis functions. Several examples are presented to demonstrate the accuracy of the two methods. The accuracy of results obtained by using boundary element method are compared with exact solutions and the finite element method. Copyright © 2000 John Wiley & Sons, Ltd.