Thermal post-buckling analysis of imperfect laminated plates using a higher-order shear deformation theory

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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Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory

Thin-Walled Structures ◽

10.1016/j.tws.2015.11.008 ◽

2016 ◽

Vol 99 ◽

pp. 83-90 ◽

Cited By ~ 80

Author(s):

A. Mojahedin ◽

M. Jabbari ◽

A.R. Khorshidvand ◽

M.R. Eslami

Keyword(s):

Porous Materials ◽

Shear Deformation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Higher Order ◽

Buckling Analysis ◽

Functionally Graded ◽

Circular Plates

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Enhanced First-Order Shear Deformation Theory for Laminated and Sandwich Plates

Journal of Applied Mechanics ◽

10.1115/1.2041657 ◽

2005 ◽

Vol 72 (6) ◽

pp. 809-817 ◽

Cited By ~ 28

Author(s):

Jun-Sik Kim ◽

Maenghyo Cho

Keyword(s):

Shear Deformation ◽

Deformation Theory ◽

Plate Theory ◽

Three Dimensional ◽

Shear Deformation Theory ◽

Higher Order ◽

Laminated Plates ◽

Sandwich Plates ◽

First Order ◽

Transverse Shear Strains

A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness, are improved to vary through the thickness. It is assumed that the displacement and in-plane strain fields of FSDT can approximate, in an average sense, those of three-dimensional theory. Relationship between FSDT and three-dimensional theory has been systematically established in the averaged least-square sense. This relationship provides the closed-form recovering relations for three-dimensional variables expressed in terms of FSDT variables as well as the improved transverse shear strains. This paper makes two main contributions. First an enhanced first-order shear deformation theory (EFSDT) has been developed using an available higher-order plate theory. Second, it is shown that the displacement fields of any higher-order plate theories can be recovered by EFSDT variables. The present approach is applied to an efficient higher-order plate theory. Comparisons of deflection and stresses of the laminated plates and sandwich plates using present theory are made with the original FSDT and three-dimensional exact solutions.

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