Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory

2011 ◽  
Vol 49 (7) ◽  
pp. 804-811 ◽  
Author(s):  
A.J.M. Ferreira ◽  
C.M.C. Roque ◽  
A.M.A. Neves ◽  
R.M.N. Jorge ◽  
C.M.M. Soares ◽  
...  
Keyword(s):  
Shear Deformation ◽  
Radial Basis Functions ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Buckling Analysis ◽  
Laminated Plates ◽  
Basis Functions ◽  
Radial Basis

Buckling behaviour of cross-ply laminated plates by a higher-order shear deformation theory

2012 ◽  
Vol 19 (2) ◽  
pp. 119-125 ◽  
Author(s):  
Ana M.A. Neves ◽  
António J.M. Ferreira ◽  
Erasmo Carrera ◽  
Maria Cinefra ◽  
Carla M.C. Roque ◽  
...  
Keyword(s):  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Order Theory ◽  
Higher Order ◽  
Laminated Plates ◽  
Basis Functions ◽  
Governing Equations ◽  
Collocation Technique ◽  
Radial Basis ◽  
Higher Order Theory

AbstractIn this article, Carrera’s Unified Formulation (CUF) is combined with a radial basis function collocation technique. A higher-order theory that considers deformations in the thickness direction was developed under CUF to predict the buckling behaviour of laminated plates. The obtained governing equations and boundary conditions are then interpolated by collocation with radial basis functions. The accuracy and efficiency of the combination of the two techniques for buckling problems of laminated plates are demonstrated through numerical experiments.

A New Hyperbolic Two-Unknown Beam Model for Bending and Buckling Analysis of a Nonlocal Strain Gradient Nanobeams

2019 ◽  
Vol 57 ◽  
pp. 175-191 ◽  
Author(s):  
Wafa Adda Bedia ◽  
Mohammed Sid Ahmed Houari ◽  
Aicha Bessaim ◽  
Abdelmoumen Anis Bousahla ◽  
Abdelouahed Tounsi ◽  
...  
Keyword(s):  
Shear Deformation ◽  
Strain Gradient ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Beam Theory ◽  
Higher Order ◽  
Buckling Analysis ◽  
Strain Gradient Theory ◽  
Beam Model ◽  
Nonlocal Strain Gradient

In present paper, a novel two variable shear deformation beam theories are developed and applied to investigate the combined effects of nonlocal stress and strain gradient on the bending and buckling behaviors of nanobeams by using the nonlocal strain gradient theory. The advantage of this theory relies on its two-unknown displacement field as the Euler-Bernoulli beam theory, and it is capable of accurately capturing shear deformation effects, instead of three as in the well-known first shear deformation theory and higher-order shear deformation theory. A shear correction factor is, therefore, not needed. Equations of motion are obtained via Hamilton’s principle. Analytical solutions for the bending and buckling analysis are given for simply supported beams. Efficacy of the proposed model is shown through illustrative examples for bending buckling of nanobeams. The numerical results obtained are compared with those of other higher-order shear deformation beam theory. The results obtained are found to be accurate. Verification studies show that the proposed theory is not only accurate and simple in solving the bending and buckling behaviour of nanobeams, but also comparable with the other shear deformation theories which contain more number of unknowns

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