Journal ArticleDOI
Exact solutions for rectangular bidirectional composites and sandwich plates
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TLDR
In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.Abstract:
In a continuing study, three-dimensional elasticity solutions are constructed for rectangular laminates with pinned edges. The lamination geometry treated consists of arbitrary numbers of layers which can be isotropic or orthotropic with material symmetry axes parallel to the plate axes. Several specific example problems are solved, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.read more
Citations
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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.
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.
Journal ArticleDOI
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
An efficient standard plate theory
TL;DR: In this paper, a new standard plate theory, which accounts for cosine shear stress distribution and free boundary conditions for shear stresses upon the top and bottom surfaces of the plate, is presented.
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.
References
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Journal ArticleDOI
Exact solutions for composite laminates in cylindrical bending
TL;DR: In this article, the limitations of classical laminated plate theory are investigated by comparing solutions of several specific boundary value problems in this theory to the corresponding theory of elasticity solutions, and it is shown that conventional plate theory leads to a very poor description of laminate response at low span-to-depth ratios.
Journal ArticleDOI
Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates
Eric Reissner,Y. Stavsky +1 more
Journal ArticleDOI
Analysis of Heterogeneous Anisotropic Plates
J. M. Whitney,Arthur W. Leissa +1 more
Journal ArticleDOI
Handbook of Mathematical Tables
Journal ArticleDOI
Bending and Stretching of Laminated Aeolotropic Plates
TL;DR: In this article, a linear theory is established for general multilayer aeolotropic plate subject to in-plane forces and transverse loading, and it is shown that coupling phenomenon occurs, between in plane forces and cross-verse bending, in differential equations as well as in boundary conditions.
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