Journal ArticleDOI
Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory
J. N. Reddy,N.D. Phan +1 more
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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.About:
This article is published in Journal of Sound and Vibration.The article was published on 1985-01-22. It has received 629 citations till now. The article focuses on the topics: Plate theory & Mindlin–Reissner plate theory.read more
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Theories and Finite Elements for Multilayered Plates and Shells:A Unified compact formulation with numerical assessment and benchmarking
TL;DR: Theories and finite elements for multilayered structures have been reviewed in this article, where the authors present an extensive numerical evaluation of available results, along with assessment and benchmarking.
Journal ArticleDOI
Theories and Finite Elements for Multilayered, Anisotropic, Composite Plates and Shells
TL;DR: In this article, an overview of available theories and finite elements that have been developed for multilayered, anisotropic, composite plate and shell structures is presented. But, although a comprehensive description of several techniques and approaches is given, most of this paper has been devoted to the so called axiomatic theories and related finite element implementations.
Journal ArticleDOI
Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling.
Rakesh K. Kapania,Stefano Raciti +1 more
Abstract: A review of the recent developments in the analysis of laminated beams and plates with an emphasis on shear effects and buckling is presented. A discussion of various shear-deformation theories for plates and beams is given. The available theories are derived assuming a variation of either the in-plane displacement components or the stress components or both in the thickness coordinate. A review of the recently developed finite elements to analyze thin and thick laminated beams and plates is given next. These elements have been derived using the displacement methods, or the mixed methods or the hybrid methods. Recent studies on the buckling and postbuckling behavior of perfect and geometrically imperfect plates are described next. These behaviors have been studied using analytical, numerical, and experimental techniques. Finally, a review of the various studies on the delamination buckling and growth in beams and plates is given. Once again, the studies have been conducted using analytical, numerical, and experimental techniques. The energy release rates have been determined using closed-form solutions or using numerical differentiation. Mention also is made of studies on multiple delaminations and on dynamic response of composite laminates under impact loads.
Journal ArticleDOI
Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells
TL;DR: The use of the Reissner Mixed Variational Theorem (RMVT) for multilayered plate and shell analysis has been extensively studied in the literature as mentioned in this paper, with a thorough review of the literature involving the use in the modeling of multi-layered plates and shells using RMVT is presented.
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New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates
TL;DR: In this paper, a new quasi-three-dimensional (3D) hyperbolic shear deformation theory for the bending and free vibration analysis of functionally graded plates is developed.
References
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Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
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A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
Journal ArticleDOI
The effect of transverse shear deformation on the bending of elastic plates
Eric Reissner,Eric Reissner +1 more
Journal ArticleDOI
Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
S Srinivasan,A.K. Rao +1 more
TL;DR: In this article, a unified exact analysis for the statics and dynamics of a class of thick laminates is presented, which leads to simple infinite series for stresses and displacements in flexure, forced vibration and "beam-column" type problems and to closed form characteristic equations for free vibration and buckling problems.
Related Papers (5)
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
The effect of transverse shear deformation on the bending of elastic plates
Eric Reissner,Eric Reissner +1 more