Non-linear analysis of functionally graded circular plates under asymmetric transverse loading

Nosier, A.; Fallah, Famida

doi:10.1016/j.ijnonlinmec.2009.07.001

Cited by 55 publications

(28 citation statements)

References 22 publications

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“…A highorder theory was presented by Zozulya and Zhang (2012) for the axisymmetric FGM cylindrical shells. Asymmetric bending of the FGM circular plates was investigated by Nosier and Fallah (2009), using the first-order shear-deformation theory (FSDT). Wang et al (2010) presented a three-dimensional solution for axisymmetric bending of FGM circular plates.…”

Section: Introductionmentioning

confidence: 99%

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat

2017

Lat. Am. j. solids struct.

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Section: Introductionmentioning

confidence: 99%

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat

2017

Lat. Am. j. solids struct.

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“…Regarding above equations, the following parameters could be defined: The load can also be definedas: (9) Using the above equations, the following equations achieved: …”

Section: Governing Equationsmentioning

confidence: 99%

“…The non-linear analysis of FGM circular plate has been studied by Nosier A. And Fallah F. [9]. In this research the axis-symmetric traverse loading was applied according to the first shear deformation theory based on non-linear theory of Von-Karman.…”

Section: Introductionmentioning

confidence: 99%

Analytical Bending Analysis of a Circular Sandwich Plate Under Distributed Load

Zadeh¹,

Tahani²

2017

IJMECH

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In this paper, bending analysis of a circular sandwich plate under distributed load with simply supported and clamped boundary conditions is investigated. First, the governing equations of the circular sandwich plate are obtained and they are solved using the Bessel functions. Then in order to validate the correctness of analytical results, numerical finite element method is used and its results are presented in the forms of contours and graphs. The results indicate that under distributed load, maximum deflection happens at 0.3 of outside radius, away from centre, and minimum deflection occurs at the outer edge of the circular sandwich plate. The results from analytical and numerical methods are compared and it shows that analytical method provides an acceptable accuracy.

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“…Geometrically nonlinear post-buckling of an imperfect circular FGM plate was studied by Li et al [12] [14]. It was related to asymmetric transverse loading, according to the first-order shear deformation plate theory based on von Karman non-linearity.…”

Section: Introductionmentioning

confidence: 99%

An Axisymmetric Bending Analysis of Functionally Graded Annular Plate Under Transverse Load via Generalized Differential Quadrature Method

Hamad¹

2013

IJRET

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Non-linear analysis of functionally graded circular plates under asymmetric transverse loading

Cited by 55 publications

References 22 publications

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Analytical Bending Analysis of a Circular Sandwich Plate Under Distributed Load

An Axisymmetric Bending Analysis of Functionally Graded Annular Plate Under Transverse Load via Generalized Differential Quadrature Method

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