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- W2111326570 abstract "A three-dimensional, linear, small deformation theory of elasticity solution by the direct method is given for the flexure of simply supported homogeneous, isotropic, thick rectangular plates under arbitrary loading. This solution, in terms of infinite series is formally exact and yields accurate numerical results without undue effort. Numerical results are presented for uniformly distributed normal load on the top surface. The results from Reissner's theory of thick plates and the predictions of thin plate theory are compared with the values from the present exact solution. The analysis is readily extended for laminated plates of isotropic materials. Numerical results are also given for a three-ply laminate under uniformly distributed normal load on the top surface, and are used to assess the accuracy of thin plate theory predictions for laminates. Für das Biegeproblem einer einfach unterstützten, homogenen, isotropen, dicken, beliebig belasteten Rechteckplatte wird auf direktem Wege über eine dreidimensionale lineare Theorie kleiner elastischer Verformungen eine Lösung gewonnen. Sie erscheint in der Gestalt unendlicher Reihen, ist formal exakt und liefert ohne unzumutbaren Aufwand genaue numerische Resultate. Solche werden für den Fall einer über die obere Randfläche gleichförmig verteilten Normallast angegeben und mit den Ergebnissen der Reissnerschen Theorie dicker Platten und mit den Voraussagen einer Theorie dünner Platten verglichen. Die verwendete Analysis läßt sich leicht auf geschichtete Platten aus isotropen Materialien ausdehnen. Für eine Dreischichtplatte, auf deren obere Randfläche eine gleichförmig verteilte Normallast wirkt, werden die numerischen Ergebnisse mitgeteilt und dazu benutzt, die Genauigkeit der von der Theorie dünner Platten gemachten Voraussagen einzuschätzen." @default.
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- W2111326570 date "1969-01-01" @default.
- W2111326570 modified "2023-09-25" @default.
- W2111326570 title "Flexure of Simply Supported Thick Homogeneous and Laminated Rectangular Plates" @default.
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- W2111326570 doi "https://doi.org/10.1002/zamm.19690490802" @default.
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