Effects of thickness stretching in functionally graded plates and shells

Carrera, Erasmo; Brischetto, Salvatore; Cinefra, Maria; Soave, Marco

doi:10.1016/j.compositesb.2010.10.005

Cited by 393 publications

(135 citation statements)

References 38 publications

(79 reference statements)

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“…In this example, the conditions are the same as the previous example except for the length-thickness ratio a/h. Table 4 shows the normalized central deflections obtained with the S-FSDT-based IGA, the FSDT-based IGA, and the analytical solutions [8,31,32]. The results from the present method are in good agreement with the analytical solutions [8,31,32] for both thin and thick plates, thus confirming the accuracy of the proposed approach.…”

Section: Numerical Applicationssupporting

confidence: 73%

Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates

Yin

Hale

et al. 2014

Composite Structures

187

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An effective, simple, and locking-free plate formulation is proposed to analyze the static bending, buckling, and free vibration of homogeneous and functionally graded plates. The simple first-order shear deformation theory (S-FSDT), which was recently presented in Composite Structures (2013; 101:332-340), is naturally free from shear-locking and captures the physics of the shear-deformation effect present in the original FSDT, whilst also being less computationally expensive due to having fewer unknowns. The S-FSDT requires C 1 -continuity that is simple to satisfy with the inherent high-order continuity of the non-uniform rational B-spline (NURBS) basis functions, which we use in the framework of isogeometric analysis (IGA).Numerical examples are solved and the results are compared with reference solutions to confirm the accuracy of the proposed method. Furthermore, the effects of boundary conditions, gradient index, and geometric shape on the mechanical response of functionally graded plates are investigated.

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Section: Numerical Applicationssupporting

confidence: 73%

Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates

Yin

Hale

et al. 2014

Composite Structures

187

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“…It should be noted that the above mentioned studies ( [1]- [3]) neglected the thickness stretching effect, which becomes very important for thick plates [4]. In order to include shear deformation and thickness stretching effects, the quasi-3D theories, which are based on a higher-order variation through the thickness of the in-plane and transverse displacements, are used.…”

Section: Introductionmentioning

confidence: 99%

A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

Thai

Nguyen

et al. 2015

Composite Structures

158

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This paper presents a finite element model for free vibration and buckling analyses of functionally graded (FG) sandwich beams by using a quasi-3D theory in which both shear deformation and thickness stretching effects are included. Sandwich beams with FG skins-homogeneous core and homogeneous skins-FG core are considered. By using the Hamilton's principle, governing equations of motion for coupled axial-shear-flexural-stretching response are derived. The resulting coupling is referred to as fourfold coupled vibration and buckling. Numerical examples are carried out to investigate the thickness stretching effect on natural frequencies and critical buckling loads as well as mode shapes of sandwich beams for various power-law indexes, skin-core-skin thickness ratios and boundary conditions.

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“…obtained by quasi-3D and 3D theories are reached for the value of r = 1, thus, this value will be used in this paper. quasi-3D ( [29], [38], [43])) in Table 3. It can be seen that the present solutions are found to be in very good agreement with the existing ones.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

Nguyen

Thai

et al. 2014

Composites Part B: Engineering

157

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.)A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates theories is found to demonstrate the accuracy of the proposed theory.

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Effects of thickness stretching in functionally graded plates and shells

Cited by 393 publications

References 38 publications

Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates

Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates

A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

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