Topic
Plate theory
About: Plate theory is a research topic. Over the lifetime, 8571 publications have been published within this topic receiving 242295 citations.
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TL;DR: In this paper, a two-dimensional linear theory of motions of heterogeneous plates is deduced from the three-dimensional theory of elasticity, which is specialized to cases of symmetrically laminated aeolotropic, orthotropic and isotropic plates.
710 citations
TL;DR: In this paper, a higher-order shear deformation theory of plates accounting for the von Karman strain was presented, which contains the same dependent unknowns as in the Hencky-Mindlin type first-order deformation theories and accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
695 citations
TL;DR: In this paper, a simple and efficient finite element is introduced for plate bending applications, where Bilinear displacement and rotation functions are employed in conjunction with selective reduced integration, and the element is surprisingly accurate.
Abstract: A simple and efficient finite element is introduced for plate bending applications. Bilinear displacement and rotation functions are employed in conjunction with selective reduced integration. Numerical examples indicate that, despite its simplicity, the element is surprisingly accurate.
647 citations
TL;DR: In this article, a rate theory for band broadening in linear, non-ideal chromatography is presented, wherein nonideality is caused by axial molecular diffusion, axial eddy diffusion, and finiteness of transfer coefficient.
634 citations
TL;DR: In this article, a higher-order shear deformation theory is used to demonstrate the natural frequencies and buckling loads of elastic plates, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate and rotary inertia.
629 citations