A new shear deformation theory for laminated composite plates
TL;DR: In this paper, a new higher-order deformable laminated composite plate theory is proposed, which is constructed from 3-D elasticity bending solutions by using an inverse method, and exactly satisfies stress boundary conditions on the top and the bottom of the plate.
About: This article is published in Composite Structures.The article was published on 2009-06-01. It has received 450 citations till now. The article focuses on the topics: Simple shear & Composite plate.
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TL;DR: In this paper, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams, and nonlocal constitutive equations of Eringen are used in the formulations.
Abstract: In the present study, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams. Nonlocal constitutive equations of Eringen are used in the formulations. After deriving governing equations, different beam theories including those of Euler–Bernoulli, Timoshenko, Reddy, Levinson and Aydogdu [Compos. Struct., 89 (2009) 94] are used as a special case in the present compact formulation without repeating derivation of governing equations each time. Effect of nonlocality and length of beams are investigated in detail for each considered problem. Present solutions can be used for the static and dynamic analyses of single-walled carbon nanotubes.
579 citations
TL;DR: In this article, a hyperbolic shear deformation theory applicable to bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates is presented.
451 citations
TL;DR: In this article, a non-classical microbeam model incorporating the material length scale parameter was proposed to capture the size effect of the FG microbeams and the governing equations and the related boundary conditions were derived using Hamilton's principle.
424 citations
TL;DR: In this article, the fundamental frequency analysis of functionally graded (FG) beams having different boundary conditions is analyzed within the framework of the classical, the first-order and different higher-order shear deformation beam theories.
373 citations
TL;DR: A comprehensive review of various theories for the modeling and analysis of functionally graded plates and shells is presented in this paper, where a thorough review of the literature related to the development of three-dimensional elasticity solutions and a unified formulation is also presented.
346 citations
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4,554 citations
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.
Abstract: A higher-order shear deformation theory of laminated composite plates is developed. The theory contains the same dependent unknowns as in the first-order shear deformation theory of Whitney and Pagano (1970), but accounts for parabolic distribution of the transverse shear strains through the thickness of the plate. Exact closed-form solutions of symmetric cross-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and first-order shear deformation theory solutions. The present theory predicts the deflections and stresses more accurately when compared to the first-order theory.
3,504 citations
TL;DR: 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.
1,730 citations
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.
932 citations
Book•
01 Jan 1997
TL;DR: The What and Why of Fibrous Composites as mentioned in this paperibrous composites have been studied extensively in the literature, e.g., in the context of solid mechanics and 3-dimensional constitutive equations.
Abstract: The What and the Why of Fibrous Composites. Concepts of Solid Mechanics. 3--D Constitutive Equations. Plane Stress Constitutive Equations. Lamination Theory. Test Methods. Material Response. Interlaminar Stresses. Failure and Damage. Laminated Tubes. Micromechanics. Appendices. Indexes.
896 citations