A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate

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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“…proposed by Ebrahimi et al [45]. Decreasing the length-thickness ratio h/R increases the magnitude 16 of the natural frequency.…”

Section: Circular Platementioning

confidence: 99%

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

Yin

Hale

et al. 2014

Composite Structures

186

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“…Another theory using Mindlin's plate theory about free vibration was investigated by Ebrahimi et al [20]. This study was concerned about moderately thick shear deformable annular functionally graded by plate.…”

Section: Introductionmentioning

confidence: 99%

An Axisymmetric Bending Analysis of Functionally Graded Annular Plate Under Transverse Load via Generalized Differential Quadrature Method

Hamad¹

2013

IJRET

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“…Jodaeia et al [26] investigated three-dimensional vibration analysis of functionally graded annular plates using state-space based differential quadrature method. Ebrahimi et al [27] investigated free vibration analysis of moderately thick annular functionally graded plate with piezoelectric layers. Tajeddini et al [28] investigated free vibration analysis of thick circular and annular functionally graded plates with variable thickness using elasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Shape Effect on Free Vibration of Functionally Graded Plates

Kurtaran

2014

International Journal of Engineering &Amp; Applied Sciences

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A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate

Cited by 81 publications

References 32 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

An Axisymmetric Bending Analysis of Functionally Graded Annular Plate Under Transverse Load via Generalized Differential Quadrature Method

Shape Effect on Free Vibration of Functionally Graded Plates

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