Finite element analysis of functionally graded plates for coupling effect of extension and bending

Orakdogen, Engin; Küçükarslan, S.; Sofiyev, A.H.; Omurtag, Mehmet H.

doi:10.1007/s11012-009-9225-z

Cited by 35 publications

(17 citation statements)

References 28 publications

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“…This means, that every GAUSSIAN integration point of an element type gets the same material parameters. Because of this, FGMs are often modelled by using a huge number of small elements with different material parameters [16,20,21]. To avoid this high numerical effort, there exist two other ways for modelling FGMs e a direct and an indirect implementation.…”

Section: Numerical Solution Via Finite Element Methodsmentioning

confidence: 99%

Numerical thermal shock analysis of functionally graded and layered materials

Hein

Storm

Kuna

2012

International Journal of Thermal Sciences

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Section: Numerical Solution Via Finite Element Methodsmentioning

confidence: 99%

Numerical thermal shock analysis of functionally graded and layered materials

Hein

Storm

Kuna

2012

International Journal of Thermal Sciences

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“…The coupling effect of extension and bending in functionally graded plates under transverse loading is investigated by Orakdöğen et.al. [15] using the finite element method. Zenkour [16] introduced the bending analysis of a simply supported functionally graded rectangular plate subjected to a transverse uniform load.…”

Section: Introductionmentioning

confidence: 99%

FE Analysis of FGM Plates on Arbitrarily Orthotropic Pasternak Foundations for Membrane Effects

Çalık-Karaköse¹

2022

Teknik Dergi

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In this study, the finite element analysis of sigmoid functionally graded material (S-FGM) plates resting on orthotropic Pasternak elastic foundations with different material angles is presented. For modelling, SAP2000 software package is used in which the required adjustments are made to obtain the expected behaviour of the plate-foundation system. The plate is modelled both using solid elements and layered shell elements by defining a number of solid elements and layers in the thickness direction having elastic properties equivalent to the properties of the S-FGM plate. The interaction between the plate and the foundation is treated by equalizing the vertical displacements of the plate and foundation nodal points. The orthotropic Pasternak foundation is modelled using plane strain elements with some adjustments to the elastic properties. The membrane effects of the simply supported S-FGM plate on Pasternak foundation are considered by assigning the edge boundaries of the system as pinned supports and these effects are excluded by converting all boundary nodes into roller supports except one of the corner nodes of the plate and the foundation due to the stability requirement. A number of verification examples are performed to demonstrate the convenience and robustness of the proposed model. This work can be easily extended to static and dynamic analyses of FGM plates with various geometries resting on arbitrarily orthotropic Pasternak elastic foundations for further studies.

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“…Xiang et al [24] presented closed-form vibration and buckling solutions for rectangular Mindlin plate based on Pasternak model. Orakdogen et al [25] investigated the coupling effect of extension and bending on the functionally graded plate subjected to transverse loading. The authors implemented Kirchhoff-Love plate theory as well as Gateaux differential and potential operator concept to derive the two plate functional.…”

Section: Introductionmentioning

confidence: 99%

Influence of geometric discontinuities and geometric/microstructural defects on the temperature-dependent vibration response of functionally graded plates on elastic foundation

Bansal

Gupta

Katiyar

2020

J Braz. Soc. Mech. Sci. Eng.

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In the present article, the vibrational behaviour of a functionally graded plate (FGP) resting on elastic foundations under a thermal environment with geometric discontinuities and microstructural defects (porosity) has been investigated. The structural kinematics is based on the trigonometric shear-strain function with only four unknowns. The transverse shear stress varies nonlinearly along the thickness. The FGP has geometric discontinuities in the form of a circular cutout of different dimensions at the centre. The various geometric imperfections are modelled using a generic function, whereas the microstructural defects (porosity) have been included using modified power law. The temperature variation between the surfaces is nonlinear along the thickness direction. The FEM-based solutions are presented using C 0 continuous iso-parametric element. Convergence and validation study have been carried out to demonstrate the efficacy and reliability of the presented results. The effect of porosity inclusion, circular cutout , elastic foundation, thermal environment, geometric imperfection modes and the volume fraction index have been analysed under conventional and unconventional boundary constraints. It is observed that after a specific dimension of circular cutout , vibrational behaviour of FGPs exhibits nonlinearity in nature.

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Finite element analysis of functionally graded plates for coupling effect of extension and bending

Cited by 35 publications

References 28 publications

Numerical thermal shock analysis of functionally graded and layered materials

Numerical thermal shock analysis of functionally graded and layered materials

FE Analysis of FGM Plates on Arbitrarily Orthotropic Pasternak Foundations for Membrane Effects

Influence of geometric discontinuities and geometric/microstructural defects on the temperature-dependent vibration response of functionally graded plates on elastic foundation

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