Journal ArticleDOI
Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory
N.S. Putcha,J. N. Reddy +1 more
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TLDR
In this paper, a mixed shear flexible finite element, with relaxed continuity, is developed for the geometrically linear and nonlinear analysis of layered anisotropic plates, based on a refined higher order theory which satisfies the zero transverse shear stress boundary conditions on the top and bottom faces of the plate and requires no shear correction coefficients.About:
This article is published in Journal of Sound and Vibration.The article was published on 1986-01-22. It has received 174 citations till now. The article focuses on the topics: Mixed finite element method & Plate theory.read more
Citations
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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
Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory
Tarun Kant,K. Swaminathan +1 more
TL;DR: In this paper, an analytical formulation and solutions to the natural frequency analysis of simply supported composite and sandwich plates based on a higher-order refined theory developed by the first author and already reported in the literature are presented.
Book
Finite Element Analysis of Composite Laminates
Ozden O. Ochoa,J. N. Reddy +1 more
TL;DR: The finite element method is the most effective method for the solution of composite laminates as discussed by the authors, but it is limited to simple geometries because of the difficulty in constructing the approximation functions for complicated geometrie.
Journal ArticleDOI
Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation
Rakesh K. Kapania,Stefano Raciti +1 more
TL;DR: A review of the recent developments in the analysis of laminated beams and plates with an emphasis on vibrations and wave propagations is presented in this paper, where a significant effort has been spent on developing appropriate continuum theories for modeling the composite materials.
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
Journal ArticleDOI
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.
Book
An Introduction to the Finite Element Method
TL;DR: Second-order Differential Equations in One Dimension: Finite Element Models (FEM) as discussed by the authors is a generalization of the second-order differential equation in two dimensions.
Journal ArticleDOI
The effect of transverse shear deformation on the bending of elastic plates
Eric Reissner,Eric Reissner +1 more
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.
Related Papers (5)
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
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more