Three-dimensional static analysis of thick functionally graded plates using graded finite element method

Zafarmand, Hassan; Kadkhodayan, Mehran

doi:10.1177/0954406213507916

Cited by 15 publications

(4 citation statements)

References 24 publications

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“…To describe the primary variables, a four-node quadrilateral finite element is developed using Lagrangian and Hermitian interpolation functions. Three-dimensional graded finite-element method based on Rayleigh-Ritz energy formulation has been applied to study the static response of the thick functionally graded plates (Zafarmandand and Kadkhodayan 2014).…”

Section: Introductionmentioning

confidence: 99%

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite-element method

Long¹,

Quoc

Tú

2016

Int J Adv Struct Eng

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In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite-element method. The theory based on full 12-unknown higher order shear deformation theory simultaneously satisfies zeros transverse stresses at top and bottom surfaces of FG plates. A four-node rectangular element with 16 degrees of freedom per node is used. Poisson's ratios, Young's moduli, and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power-law functions. Results are verified with available results in the literature. Parametric studies are performed for different power-law indices, side-to-thickness ratios.

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Section: Introductionmentioning

confidence: 99%

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite-element method

Long¹,

Quoc

Tú

2016

Int J Adv Struct Eng

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“…However, the literatures about the FGM are mainly focusing on the FGM beams, plates, and shells. 4–8 And the literature on the dynamics of the FGM pipe conveying fluid is relatively limited. Sheng and Wang 9 studied the stability of the FGM shell conveying fluid under thermal loads by modal expansion method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behaviors of multi-span viscoelastic functionally graded material pipe conveying fluid

Deng

Liu

Zhang

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, the dynamic behaviors of a multi-span viscoelastic functionally graded material pipe conveying fluid are investigated by dynamic stiffness method. The material properties of the functionally graded material pipe are considered as graded distribution along the thickness direction according to a power-law. Several numerical examples are performed to study the effects of volume fraction exponent, fluid velocity, internal pressure, and internal damping on the stability and frequency response of the fluid-conveying functionally graded material pipe. It's found that the viscoelastic functionally graded material pipe exhibits some special dynamic behaviors and it could increase the stability significantly when compared with the aluminum and steel pipes. The numerical results also demonstrate that by the introduction of the functionally graded material, the stiffness of the piping system could be modulated easily by designing the volume fraction function. Therefore, if the dominant frequency contents of the external loads are known, a preferable design of the functionally graded material pipe to reduce the vibration is possible.

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“…To describe the primary variables, a four-node quadrilateral finite element is developed using Lagrangian and Hermitian interpolation functions. Three-dimensional graded finite element method based on Rayleigh-Ritz energy formulation has been applied to study the static response of the thick functionally graded plates [11].…”

Section: Introductionmentioning

confidence: 99%

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

Quoc

Tú

Long³

2016

JST

View full text Add to dashboard Cite

In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite element method. The theory based on full twelve-unknown higher order shear deformation theory, simultaneously satisfy zeros transverse stresses at top and bottom surface of FG plates. A four-node rectangular element with sixteen degrees of freedom per node is used. Poisson's ratios, Young's moduli and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power law functions. Results are verified with available results in the literature. Parametric studies are performed for different power law index, side-tothickness ratios.

show abstract

Three-dimensional static analysis of thick functionally graded plates using graded finite element method

Cited by 15 publications

References 24 publications

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite-element method

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite-element method

Dynamic behaviors of multi-span viscoelastic functionally graded material pipe conveying fluid

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

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