Finite element analysis of functionally graded plates under transverse load

Singha, M.K.; Prakash, T.; Ganapathi, M.

doi:10.1016/j.finel.2010.12.001

Cited by 126 publications

(60 citation statements)

References 20 publications

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“…The material on the top surface of the beam is ceramic, and that on the bottom surface is metal. It is assumed that the volume fractions of metal V m and ceramic V c vary gradually through the beam thickness (along z-coordinate in figure 2a), according to the following power law [27,32,33]:…”

Section: Model Formulation (A) Effective Materials Properties Of Functmentioning

confidence: 99%

Asymmetric bifurcation of thermally and electrically actuated functionally graded material microbeam

Chen¹,

Meguid²

2016

Proc. R. Soc. A.

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In this paper, we investigate the symmetric snapthrough buckling and the asymmetric bifurcation behaviours of an initially curved functionally graded material (FGM) microbeam subject to the electrostatic force and uniform/non-uniform temperature field. The beam model is developed in the framework of Euler-Bernoulli beam theory, accounting for the through-thickness power law variation of the beam material and the physical neutral plane. Based on the Galerkin decomposition method, the beam model is simplified as a 2 d.f. reduced-order model, from which the necessary snap-through and symmetry breaking criteria are derived. The results of our work reveal the significant effects of the power law index on the snap-through and symmetry breaking criteria. Our results also reveal that the non-uniform temperature field can actuate the FGM microbeam and induce the snap-through and asymmetric bifurcation behaviours.

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Section: Model Formulation (A) Effective Materials Properties Of Functmentioning

confidence: 99%

Asymmetric bifurcation of thermally and electrically actuated functionally graded material microbeam

Chen¹,

Meguid²

2016

Proc. R. Soc. A.

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“…where e5½ e xx e yy c xy T ; c5½ c yz c xz T ; (27) and e j ij are the modified shear correction factors evaluated based on energy equivalence principle involving the actual nonuniform shear stress distribution through the thickness of the FG-CNTRC plate and defined as [45] …”

Section: Displacement Field and Strainsmentioning

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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“…Therefore, in the literature one can find many papers which present results of a solution to different problems of FG plate buckling, obtained with an application of the FEM, for example [15,17,22].…”

Section: Introductionmentioning

confidence: 99%