Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory

Saidi, A.R.; Rasouli, Asghar; Sahraee, Shahab

doi:10.1016/j.compstruct.2008.07.003

Cited by 125 publications

(53 citation statements)

References 16 publications

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“…Yang et al [22] studied two-dimensional stress distribution of a functionally graded plate with a circular hole under arbitrary constant loads. Axisymmetric bending and buckling of functionally graded circular plates were investigated by Saidi et al [23] based on the unconstrained third-order shear deformation plate theory. Mohammadi et al [24] investigated the buckling analysis of thin FG rectangular plates based on the classical plate theory.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation

Bodaghi

Saidi

2010

Arch Appl Mech

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In this research work, an exact analytical solution for buckling of functionally graded rectangular plates subjected to non-uniformly distributed in-plane loading acting on two opposite simply supported edges is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The neutral surface position for such plate is determined, and the classical plate theory based on exact neutral surface position is employed to derive the governing stability equations. Considering Levy-type solution, the buckling equation reduces to an ordinary differential equation with variable coefficients. An exact analytical solution is obtained for this equation in the form of power series using the method of Frobenius. By considering sufficient terms in power series, the critical buckling load of functionally graded plate with different boundary conditions is determined. The accuracy of presented results is verified by appropriate convergence study, and the results are checked with those available in related literature. Furthermore, the effects of power of functionally graded material, aspect ratio, foundation stiffness coefficients and in-plane loading configuration together with different combinations of boundary conditions on the critical buckling load of functionally graded rectangular thin plate are studied.

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Section: Introductionmentioning

confidence: 99%

Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation

Bodaghi

Saidi

2010

Arch Appl Mech

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“…Sepahi [6] investigated the effect of large deflections of the FGM circular plate under thermo-dynamic loading on a non-linear foundation using the square element. Saeedi et al Investigated the axi-symmetric shear and buckling of a thick FGM circular plate using the third shear order theory [7]. Alipour M. M. and Shariyat M. studied the axisymmetric bending based on the elasticity equilibrium equations of Zigzag theory [8].…”

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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“…Reddy (2000) presented a theoretical solution and finite element model of FGM rectangular plates based on third order shear deformation theory (TSDT) and studied the effect of material distribution on deflections and stresses. Saidi et al (2009), investigated the bending and buckling behavior of FGM circular plates, based on the third-order shear deformation theory and compared their results with those of first order shear deformation theory. Applying finite Hankel integral transforms, Wang and Dai (2004) for magneto dynamic stress and perturbation response of an axial magnetic field vector in an orthotropic cylinder under thermal and mechanical shock loads.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Elastic Analysis of an Annular FGM Plate Based on Classical Plate Theory Using GDQ Method

Shishesaz

Zakipour

Jafarzadeh

2016

Lat. Am. j. solids struct.

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Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory

Cited by 125 publications

References 16 publications

Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation

Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation

Analytical Bending Analysis of a Circular Sandwich Plate Under Distributed Load

Magneto-Elastic Analysis of an Annular FGM Plate Based on Classical Plate Theory Using GDQ Method

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