Analysis of functionally graded stiffened plates based on FSDT utilizing reproducing kernel particle method

Ardestani, Mohammad; Soltani, Behzad; Shams, Sh.

doi:10.1016/j.compstruct.2014.01.032

Cited by 40 publications

(11 citation statements)

References 53 publications

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“…Memar Ardestani et a. [66] used the FSDT and a reproducing kernel particle method to study the bending behavior of concentrically and eccentrically FG stiffened plates under transverse loadings.…”

Section: Fsdt Modelmentioning

confidence: 99%

A review of theories for the modeling and analysis of functionally graded plates and shells

Thai

Kim

2015

Composite Structures

405

103

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Section: Fsdt Modelmentioning

confidence: 99%

A review of theories for the modeling and analysis of functionally graded plates and shells

Thai

Kim

2015

Composite Structures

405

103

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“…The adopted method used in this article is the full transformation method proposed by Chen et al [48] and used by many researchers, e.g. [26,34,49] due to its good accuracy and simple implementation.…”

Section: Boundary Conditionsmentioning

confidence: 99%

The effects of carbon nanotube waviness and aspect ratio on the buckling behavior of functionally graded nanocomposite plates using a meshfree method

Shams

Soltani

2015

Polymer Composites

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This work deals with the effects of waviness and aspect ratio on the buckling behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates subjected to in-plane loads using reproducing kernel particle method (RKPM) based on modified first-order shear deformation theory (FSDT). Wavy single-walled carbon nanotubes (CNTs) are embedded in a polymer matrix and distributed in four types of distributions. The material properties of an FG-CNTRC plate are assumed to be graded along the thickness direction of the plate and estimated through a micromechanical model based on the extended rule of mixture. The modified shear correction factors evaluated involving the nonuniform shear stress distribution through the thickness of the FG-CNTRC plate. For the imposition of the essential boundary conditions the full transformation approach is utilized. The validity and accuracy of the RKPM method is established by a comparison with the obtained results of available literature data. Moreover, the effects of distribution, volume fraction, waviness, and aspect ratio of CNTs are investigated on the buckling behavior of FG-CNTRC plates for various boundary conditions, plate width-to-thickness and aspect ratios. Detailed parametric studies demonstrate that the waviness and aspect ratio of CNTs have noticeable effects on buckling behavior of carbon nanotube-reinforced composite (CNTRC) plates. POLYM.

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“…According to the FSDT [10][11][12][13][14][15][16][17][18][19][20], the displacement field can be expressed as uðx; y; z; tÞ ¼ u 0 ðx; y; tÞþzθ x ðx; y; tÞ ð 4aÞ vðx; y; z; tÞ ¼ v 0 ðx; y; tÞþzθ y ðx; y; tÞ ð 4bÞ wðx; y; z; tÞ ¼ w 0 ðx; y; tÞ ð 4cÞ…”

Section: Equations Of Motion For Moderately Thick Fg Platesmentioning

confidence: 99%

“…The first order shear deformation theory (FSDT) based on Reissner [8] and Mindlin [9] accounted for the transverse shear effects by means of linear variation of in-plane displacements across the thickness. Due to its high efficiency and simplicity, the FSDT is considered to be a pioneering theory and has been widely used for analyzing moderately thick FG plates [10][11][12][13][14][15][16][17][18][19][20]. Unfortunately, a shear correction factor is required in the FSDT to amend the effect of uniform transverse stress in shear forces.…”

Section: Introductionmentioning

confidence: 98%

“…As a result, the application of the meshless methods in analyzing FG plates is of great interest and deserves study. Recently, some meshless approaches [10][11][12][13][14][15][16][17][18][19][20]23,24] were devised for the analysis of FG plates. In addition, Liew et al [37] published a review of meshless methods for the analyses of laminated and functionally graded plates and shells.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method

Chen

Cheng

Tong

et al. 2015

Engineering Analysis with Boundary Elements

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Analysis of functionally graded stiffened plates based on FSDT utilizing reproducing kernel particle method

Cited by 40 publications

References 53 publications

A review of theories for the modeling and analysis of functionally graded plates and shells

A review of theories for the modeling and analysis of functionally graded plates and shells

The effects of carbon nanotube waviness and aspect ratio on the buckling behavior of functionally graded nanocomposite plates using a meshfree method

Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method

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