Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory

Phung‐Van, P.; Wahab, Magd Abdel; Liew, K.M.; Bordas, Stéphane; Nguyen‐Xuan, H.

doi:10.1016/j.compstruct.2014.12.021

Cited by 199 publications

(33 citation statements)

References 41 publications

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“…IGA has shown some advantages for structure vibration [110] and was applied to fracture problems [111][112][113]. So far, NURBSbased IGA has been used to analyse and simulate practical structures including beam [114,115], plates using FSDT [50,116,117] and HSDT [73,[118][119][120], layer-wise theory [121,122], shell structures [123,124] and so on.…”

Section: Chaptermentioning

confidence: 99%

Isogeometric analysis of functionally graded plates using higher-order shear deformation theory

Tran

Ferreira

Nguyen‐Xuan

2013

Composites Part B: Engineering

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174

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Section: Chaptermentioning

confidence: 99%

Isogeometric analysis of functionally graded plates using higher-order shear deformation theory

Tran

Ferreira

Nguyen‐Xuan

2013

Composites Part B: Engineering

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174

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“…The volume fraction of CNT, considered for the four types of volume fraction distributions, varies with thickness direction z, such as uniformly distributed (UD) CNTRC, functionally graded V (FG-V)-type distribution, functionally graded X (FG-X)type distribution and functionally graded O (FG-O)-type distribution of CNTRC plates as shown in Fig. 1 [9].…”

Section: Methodology and Problem Descriptionmentioning

confidence: 99%

“…Considering plates of more general type of plan form become essential for use sometimes, non-rectangular plates of non-unit aspect ratio are considered herein. Four different types of volume fraction distributions of CNTs vary across the thickness, as per Van et al [9]. The formulation developed is incorporated into a computer program developed in-house.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric FE analysis of CNT-reinforced composite plates: free vibration

Singh

Bhar

2019

SN Appl. Sci.

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Free vibration behavior of carbon nanotube-reinforced composite plates is studied here, using isogeometric analysis (IGA) based on a higher-order shear deformation theory (HSDT). Carbon nanotubes are considered dispersed into matrix in four different types of volume fraction distributions varying across the thickness. The formulation developed is approximated according to the HSDT model and is incorporated into a computer program developed in-house. IGA uses the same basis function for exact geometric modeling and for analysis, i.e., non-uniform rational B-spline basis function which can easily model the complex geometries exactly, and it can also achieve any desired degree of continuity through the choice of interpolation order so that this method can easily fulfill the C 1 continuity for the HSDT model. The effect of variation of width-to-thickness ratio, plate aspect ratio and other parameters, on natural frequencies, are evaluated from parametric studies after due validation with the given literature which is done in FORTRAN.

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“…Using the higher‐order shear and normal deformable plate formulation, Natarajan et al studied the static and free vibrations of single layer FG‐CNT reinforced composite plates and also sandwich plates with FG‐CNT reinforced composite face sheets. Phung‐Van et al studied the static and dynamic behavior of functionally graded CNT‐reinforced composite plates using the isogeometric analysis method and higher‐order shear deformation theory. Alibeigloo and Emtehani applied the DQ method to investigate the free vibration and the bending behavior of an FG‐CNTRC rectangular plate subjected to uniform pressure with different classical boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

A unified formulation for free vibration of functionally graded carbon nanotube reinforced composite spherical panels and shells of revolution with general elastic restraints by means of the Rayleigh–Ritz method

et al. 2017

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In this article, the free vibration of the functionally graded carbon nanotube reinforced composite spherical panels and shells of revolution with general elastic restraints is analyzed on the basis of the first‐order shear deformation theory. First, the general boundary condition is simulated by using a set of artificial springs along all the edges and the “general” is obtained by changing the stiffness of the corresponding kinds of springs. Then, the admissible function is expressed by the improved Fourier series which is the combination of a standard double cosine Fourier series and several auxiliary functions introduced to remove all potential discontinuities of the original displacement and its derivatives at the edges. Finally, the equations of motion of the FG‐CNT reinforced composite spherical panels and shells of revolution with general boundary conditions are derived by extending the Rayleigh–Ritz method. For the validation of the present method, several comparison studies are conducted and its convergence is also checked meanwhile. In addition, the effect of the volume fraction of CNTs, distribution type of CNTs, boundary restraint parameters on the vibration characteristics are also presented. POLYM. COMPOS., 39:E924–E944, 2018. © 2017 Society of Plastics Engineers

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Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory

Cited by 199 publications

References 41 publications

Isogeometric analysis of functionally graded plates using higher-order shear deformation theory

Isogeometric analysis of functionally graded plates using higher-order shear deformation theory

Isogeometric FE analysis of CNT-reinforced composite plates: free vibration

A unified formulation for free vibration of functionally graded carbon nanotube reinforced composite spherical panels and shells of revolution with general elastic restraints by means of the Rayleigh–Ritz method

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