Thermal buckling and postbuckling analysis of functionally graded annular plates with temperature-dependent material properties

Sepahi, O.; Forouzan, Mohammad Reza; Malekzadeh, P.

doi:10.1016/j.matdes.2011.03.063

Cited by 49 publications

(23 citation statements)

References 28 publications

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“…In their research, they considered both simply supported and clamped boundary conditions. Based on the first-order shear deformation theory, Sepahi et al [14] investigated the thermal buckling and post-buckling analysis of the annular plates made of FGMs. They assumed a particular pattern of distribution for variations of the temperature along the radial direction.…”

Section: Introductionmentioning

confidence: 99%

Pseudo-spectral method for mechanical buckling analysis of circular plates with variable thickness made of bimorph FGMs

Khosravi

Lezgy-Nazargah

2018

NMCE

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In this paper, the mechanical buckling behavior of circular plates with variable thicknesses made of bimorph functionally graded materials (FGMs) under uniform mechanical loading circumstances has been studied for the first time. The governing equations are derived based on the first-order shear deformation plate theory and von Karman's assumptions. The material characteristics are symmetric about the middle plane of the plate and these characteristics vary along the thickness direction according to the power law. The middle plane of the plate is made of pure metal, which changes to pure ceramic as it approaches the outer sides. In order to determine the pre-buckling force in the radial direction, the membrane equation is solved using the shooting method. Then, the stability equations are solved numerically with the help of pseudo-spectral method and choosing the Chebyshev polynomials as basis functions. The numerical results are presented for both clamped and simply supported boundary conditions by considering linear and parabolic patterns for the thickness variations. The influences of various parameters like volume fraction index, thickness profile and side ratio on the buckling behavior of these plates have been evaluated. The obtained numerical results show that there exists an optimal value for the thickness parameter, wherein the buckling load becomes maximum. The buckling load of circular FGM plates increases more than 100% when the volume fraction index increases from 0 to 5. The buckling load of the clamped circular FGM plates decreases about 15% as the side ratio increases from 0.01 to 0.2.

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Section: Introductionmentioning

confidence: 99%

Pseudo-spectral method for mechanical buckling analysis of circular plates with variable thickness made of bimorph FGMs

Khosravi

Lezgy-Nazargah

2018

NMCE

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“…The boundary conditions for circular plates were simple and clamped. Sepahi, Forouzan & Malekzadeh (2011) worked on thermal buckling and post-buckling analysis of functionally graded annular plates with distribution of properties in radial direction in different supportive circumstances. The numerical solution was presented on the basis of differential quarature method.…”

Section: Introductionmentioning

confidence: 99%

An exact solution of thermal stability analysis of bimorph functionally graded annular plates

Khosravi

2017

rdlc

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The present study aims to provide an exact solution for thermal buckling of bimorph functionally graded circular plates under uniform thermal loading with regard to von Kármán's classic theory and non-linear assumptions in clamped-clamped, simple-simple, clamped-simple and simpleclamped support conditions. Martials properties will change in association to the middle surface of symmetric plate and according to the power law in direction of thickness. So that, the middle surface of the annular plate was pure metal and the sides of plate were pure ceramic. Using non-linear equations energy, the equilibrium was determined and the stability equations were employed by the method of equilibrium in vicinity in order to specify the critical temperature of buckling. Finally, a closed solution was obtained. We also measured the impact of varying factors like the rate of thickness to plate radius changes, volume fraction percentile changes of materials, and the ratio of the inner radius to the outer radius over the critical buckling temperature. Then, the results were compared together and with former studies. The findings indicated that for bimorph functionally graded materials, thermal moment does not occur, while buckling critical temperature in bimorph functionally graded materials of annular plates increases as the ratio of thickness to radius increases. Moreover, by increasing the ratio of inner to outer radius in clamped-clamped and clamped-simple support conditions we have an increase in thermal buckling free parameter.Key words: Thermal buckling, annular plates, functionally graded materials, classical theory Resumen El presente estudio tiene por objeto proporcionar una solución exacta para el pandeo térmico de placas bimorfas funcionalmente graduadas circulares bajo carga térmica uniforme con respecto a la teoría clásica de von Kármán y suposiciones no lineales en Condiciones de soporte: empotrado-empotrado, articulado-articulado, empotrado-articulado y articulado-empotrado. Las propiedades de los marciales cambiarán en asociación con la superficie media de la placa simétrica y de acuerdo con la ley de potencia en la dirección del espesor. De manera que la superficie media de la placa anular era de metal puro y los lados de la placa eran de cerámica pura. Utilizando ecuaciones no lineales de energía, se determinó el equilibrio y se emplearon las ecuaciones de estabilidad mediante el método de equilibrio en la vecindad para especificar la temperatura crítica de pandeo. Finalmente, se obtuvo una solución cerrada. También medimos el impacto de factores variables como la tasa de espesor de los cambios en el radio de la placa, los cambios en el percentil de la fracción volumétrica de los materiales y la relación entre el radio interior y el radio exterior sobre la temperatura crítica de pandeo. A continuación, los resultados se compararon entre sí y con estudios anteriores. Los resultados indicaron que para los materiales bimórficos funcionalmente clasificados, no ocurre el momento térmico, mientras que la temp...

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“…It has been shown that the fundamental buckled shape of an annular plate over a complete elastic foundation, or a circular plate over a partial/complete elastic foundation may be asymmetric. Sepahi et al [26] adopted the GDQ method to solve the non-linear equilibrium equations of radially graded FGM annular plate. A shooting method is adopted in [27] by Aghelinejad et al to obtain the critical buckling temperature and post-buckling equilibrium path of transversely graded annular FG plate.…”

Section: Introductionmentioning

confidence: 99%

Thermally induced buckling of thin annular FGM plates

Yousefitabar

Matapouri

2016

J Braz. Soc. Mech. Sci. Eng.

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Thermal buckling and postbuckling analysis of functionally graded annular plates with temperature-dependent material properties

Cited by 49 publications

References 28 publications

Pseudo-spectral method for mechanical buckling analysis of circular plates with variable thickness made of bimorph FGMs

Pseudo-spectral method for mechanical buckling analysis of circular plates with variable thickness made of bimorph FGMs

An exact solution of thermal stability analysis of bimorph functionally graded annular plates

Thermally induced buckling of thin annular FGM plates

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