Journal ArticleDOI
Exact Solutions of Moderately Thick Laminated Shells
TLDR
An extension of the Sanders shell theory for doubly curved shells to a shear deformation theory of laminated shells is presented in this paper, which accounts for transverse shear strains and rotation about the normal to the shell midsurface.Abstract:
An extension of the Sanders shell theory for doubly curved shells to a shear deformation theory of laminated shells is presented. The theory accounts for transverse shear strains and rotation about the normal to the shell midsurface. Exact solutions of the equations are presented for simply supported, doubly curved, cross‐ply laminated shells under sinusoidal, uniformly distributed, and concentrated point load at the center. Fundamental frequencies of cross‐ply laminated shells are also presented. The exact solutions presented herein for laminated composite shells should serve as bench mark solutions for future comparisons.read more
Citations
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Journal ArticleDOI
A higher-order shear deformation theory of laminated elastic shells
J. N. Reddy,C.F. Liu +1 more
TL;DR: In this article, a higher-order shear deformation theory for elastic shells was developed for shells laminated of orthotropic layers, which is a modification of the Sanders' theory and accounts for parabolic distribution of the transverse shear strains through thickness of the shell and tangential stress-free boundary conditions on the boundary surfaces.
Book
Nonlinear Vibrations and Stability of Shells and Plates
TL;DR: In this article, a comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells is presented. But the authors do not consider the effect of boundary conditions on the large-amplitude vibrations of circular cylinders.
Journal ArticleDOI
Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction
Journal ArticleDOI
A review of meshless methods for laminated and functionally graded plates and shells
TL;DR: A review of meshless methods for composite structures is given in this paper, with main emphasis on the element-free Galerkin method and reproducing kernel particle method, including static and dynamic analysis, free vibration, buckling and nonlinear analysis.
Journal ArticleDOI
A new higher order shear deformation theory for sandwich and composite laminated plates
TL;DR: In this article, a new shear deformation theory for sandwich and composite plates is developed, which accounts for adequate distribution of the transverse shear strains through the plate thickness and tangential stress-free boundary conditions on the plate boundary surface, thus a shear correction factor is not required.
References
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Journal ArticleDOI
Shear Deformation in Heterogeneous Anisotropic Plates
James M. Whitney,N. J. Pagano +1 more
TL;DR: In this article, a bending theory for anisotropic laminated plates developed by Yang, Norris, and Stavsky is investigated, which includes shear deformation and rotary inertia in the same manner as Mindlin's theory for isotropic homogeneous plates.
Journal ArticleDOI
The Small Free Vibrations and Deformation of a Thin Elastic Shell
TL;DR: In this article, the authors give a brief account of the principal theories of the vibrations and flexure of a thin elastic plate hitherto put forward, and apply the method of one of them to the case when the plate in its natural state has finite curvature.
Journal ArticleDOI
A higher order theory for extensional motion of laminated composites
J.M. Whitney,C.T. Sun +1 more
TL;DR: In this article, a refined laminated plate theory is developed which is applicable to fiber reinforced composite materials under impact loading and includes the first symmetric thickness shear and thickness stretch motions.