TY - CHAP

T1 - Plates

AU - Duddeck, Fabian M.E.

AU - Kirchhoff, Gustav Robert

PY - 2002

Y1 - 2002

N2 - In this chapter Fourier BEM is applied to plate problems. In the first part, the model for the bending of plates is analysed which is due to Kirchhoff1 and which is valid for thin plates where shear deformations can be neglected. For this theory, collocation approaches are well established for the original space, e.g. [AP92, Bes9l]. The Galerkin BIE were only recently developed in [FB98]. In the second part, we consider plates on Winkler foundations for which a collocation approach can be found in [Jah98]. Finally, the refined plate theory of Reissner is discussed, cf. [AP92, Bes91].

AB - In this chapter Fourier BEM is applied to plate problems. In the first part, the model for the bending of plates is analysed which is due to Kirchhoff1 and which is valid for thin plates where shear deformations can be neglected. For this theory, collocation approaches are well established for the original space, e.g. [AP92, Bes9l]. The Galerkin BIE were only recently developed in [FB98]. In the second part, we consider plates on Winkler foundations for which a collocation approach can be found in [Jah98]. Finally, the refined plate theory of Reissner is discussed, cf. [AP92, Bes91].

UR - http://www.scopus.com/inward/record.url?scp=84880148886&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:84880148886

SN - 9783642077272

T3 - Lecture Notes in Applied and Computational Mechanics

SP - 73

EP - 94

BT - Fourier BEM

A2 - Duddeck, Fabian M. E.

ER -