Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique

Neves, A. M. A.; Ferreira, A.J.M.; Carrera, Erasmo; Cinefra, Maria; Roque, C.M.C.; Jorge, R.M. Natal; Soares, Carlos A. Mota

doi:10.1016/j.compositesb.2012.01.089

“…However, with the introduction of numerical methods relying on basis functions with natural C 1 continuity such as NURBS in an isogeometric analysis framework (IGA) [5] and meshfree methods [6,7] we believe that the physical accuracy and straightforward numerical implementation are no longer at odds. In this paper we develop a simple, efficient, and locking-free numerical method for thin through to thick shear-deformable plates by using a C 1 continuity formulation that includes the effects of shear-deformation.…”

Section: Introductionmentioning

confidence: 99%

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

Yin

¹

,

Hale

²

,

Yu

³

et al. 2014

Composite Structures

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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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“…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%

“…Moreover, owing to smooth variations of material properties, FG sandwich plates have recently been developed to overcome interface problems between faces and core found in conventional sandwich structures. Many plate theories have been applied to predict responses of FG sandwich plates: static behaviours ( [38]- [46]), vibration and buckling responses ( [38], [45]- [53]). …”

Section: Introductionmentioning

confidence: 99%

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

Nguyen

¹

,

Nguyen

²

,

Thai

³

et al. 2014

Composites Part B: Engineering

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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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“…For example, Kant and Swaminathan [20] proposed a quasi-3D theory with all displacement components expanded as a cubic variation through the thickness. The theories presented by Chen et al [21], Talha and Singh [22], Reddy [23], and Neves et al [24] are based on a cubic variation of in-plane displacements and a quadratic variation of transverse displacement. Instead of using polynomial functions, Ferreira et al [25] employed the sinusoidal functions for all displacement components.…”

Section: Introductionmentioning

confidence: 99%

A quasi-3D hyperbolic shear deformation theory for functionally graded plates

Thai

¹

,

Vo

²

,

Bui

³

et al. 2013

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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.)

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Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique

Abstract: Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higherorder shear deformation theory and a meshless technique. / Neves A.M.A.; Ferreira A.

Cited by 439 publications

References 95 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 new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

A quasi-3D hyperbolic shear deformation theory for functionally graded plates

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