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 -