A novel first-order shear deformation theory for laminated composite plates

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 [6], 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.

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First Order Shear Deformation Theory access for the stress research of CNT/Polymer Laminated Composite Plates

International Journal of Engineering and Advanced Technology - Regular Issue ◽

10.35940/ijeat.f9383.088619 ◽

2019 ◽

Vol 8 (6) ◽

pp. 3736-3740

Keyword(s):

Carbon Nanotube ◽

Shear Deformation ◽

Polymer Composite ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Composite Plates ◽

Theory Approach ◽

Laminated Composite Plates ◽

First Order

In the design of structural elements like shells, beams, and plates the analysis of stresses is one of the primary and most important considerations. The intention of the current research is to perform a study on stress behavior of laminated polymer composite plates reinforced with carbon nanotube(CNT). A theoretical first order shear deformation theory approach is executed on simply supported laminated composite plates subjected to uniformly distributed loads to study the effect of shear deformation on in-plane and transverse stresses. The numerical results are presented for symmetrical, eight layered polymer composite reinforced with Carbon Nanotube to explore the effect of various parameters like stacking sequence, the side-to-thickness ratio on stresses. The effect of carbon nanotube volume fraction and carbon nanotube radius is also investigated on stress distribution of composite plates. This study on stress analysis is conducted on plates principally to observe the structural suitability of nanocomposites.

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A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory

The Journal of Engineering Research [TJER] ◽

10.24200/tjer.vol10iss2pp1-12 ◽

2013 ◽

Vol 10 (2) ◽

pp. 1 ◽

Cited By ~ 7

Author(s):

RF Rango ◽

FJ Bellomo ◽

LG Nallim

Keyword(s):

Boundary Conditions ◽

Shear Deformation ◽

Static Analysis ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Composite Plates ◽

General Algorithm ◽

Laminated Composite Plates ◽

First Order

This paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner-Mindlin plate theory. In solving the aforementioned plate problems, a general algorithm based on the Ritz method and the use of beam orthogonal polynomials as coordinate functions is derived. This general algorithm provides an analytical approximate solution that can be applied to the static analysis of moderately thick laminated composite plates with any lamination scheme and combination of edge conditions. The convergence, accuracy, and flexibility of the obtained general algorithm are shown by computing several numerical examples and comparing some of them with results given in the literature. Some results, including general laminates and nonsymmetrical boundary conditions with free edges, are also presented.

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Peridynamic Analysis of Laminated Composite Plates Based on First-Order Shear Deformation Theory

International Journal of Applied Mechanics ◽

10.1142/s1758825120500313 ◽

2020 ◽

Vol 12 (03) ◽

pp. 2050031 ◽

Cited By ~ 3

Author(s):

Mehmet Dorduncu ◽

Kadir Kaya ◽

Omer Faruk Ergin

Keyword(s):

Shear Deformation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Composite Plates ◽

Shear Stresses ◽

Laminated Composite Plates ◽

Equilibrium Equations ◽

First Order ◽

Aspect Ratios

A nonlocal Peridynamic Differential Operator (PDDO) is presented for static analysis of laminated composite plates based on the First-order Shear Deformation Theory (FSDT). The equilibrium equations and boundary conditions of the FSDT were derived from the principle of virtual work. The local spatial derivatives in these equations were replaced with their nonlocal PD forms. The continuous transverse shear stresses were achieved by integrating the stress equilibrium equations through the thickness of the plate. This approach was validated against an existing analytical solution by considering a simply supported laminated composite plate under uniformly distributed sinusoidal load for different aspect ratios. The performance of this formulation was investigated by comparing through-the-thickness stress variations against the analytical solutions.

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Analysis of Deflections and Stresses for Laminated Composite Plates Based on a New Higher-Order Shear Deformation Theory

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.226-228.1725 ◽

2012 ◽

Vol 226-228 ◽

pp. 1725-1729 ◽

Cited By ~ 2

Author(s):

Xiang Jun Lan ◽

Zhi Hua Feng

Keyword(s):

Shear Deformation ◽

Deformation Theory ◽

Virtual Work ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Composite Plates ◽

Higher Order ◽

Laminated Composite Plates ◽

First Order ◽

Shear Deformation Theories

Based on the new simple third-order shear deformation theory, the deflections and stresses of the simply surported symmetrical laminated composite plates are obtained by using the principle of virtual work .The solutions are compared with the solutions of three-dimensional elasticity theory, the first-order shear deformation theory and the Reddy’s higher order shear deformation theory . Results show that the presented new theory is more reliable, accurate, and cost-effective in computation than the first-order shear deformation theories and other simple higher-order shear deformation theories.

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