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- W2012693118 abstract "Für ein Rechteckprisma, an dessen Enden vorgegebene Kräfte wirken, wird auf der Grundlage der die dreidimensionale Elastizitätstheorie beherrschenden Gleichungen das Problem des dreidimensionalen elastischen Verhaltens gelöst. Die Lösung hat die Form eines Galerkin-Vektors, dessen Komponenten in Doppel-Fourier-Reihen entwickelt sind, die der zugrunde liegenden biharmonischen Gleichung genügen und so gewählt sind, daß sie alle Randbedingungen befriedigen. Es werden Rechteckprismen mit symmetrischen oder exzentrischen Normalkräften an den Enden untersucht und für typische Fälle numerische Ergebnisse angegeben. Die gewonnenen Ergebnisse werden mit denen der zweidimensionalen Theorie verglichen. A three dimensional elasticity solution of a rectangular prism subjected to prescribed end forces has been developed. The solution of the governing equations of three dimensional elasticity has been expressed in the form of Galerkin Vector. The components of Galerkin vector have been expressed as double Fourier series, satisfying the governing biharmonic equation and are so chosen that the stresses obtained by them satisfy all the boundary conditions. Rectangular prisms with symmetric and eccentric normal end loads have been analysed and numerical results have been presented for certain typical cases. The results obtained have been compared with the results of two dimensional elasticity solution." @default.
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- W2012693118 date "1969-01-01" @default.
- W2012693118 modified "2023-09-27" @default.
- W2012693118 title "A three dimensional elasticity solution for rectangular prism under end loads" @default.
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- W2012693118 doi "https://doi.org/10.1002/zamm.19690490602" @default.
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