Thermally induced buckling of thin annular FGM plates

Yousefitabar, M.; Matapouri, M. Kh.

doi:10.1007/s40430-016-0555-1

Cited by 10 publications

(3 citation statements)

References 51 publications

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“…Wang (2003, 2004) examined nonlinear bending and post buckling behavior of FGM circular plates under thermal mechanical loading. Yousefitabar and Matapouri (2017) analyzed stability of FGM annular plates under three different temperature loads and proposed an analytical solution for the thermal buckling load. Hu and Zhang (2012) discussed bifurcation and chaos of an FGM circular plate with a fixed support.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic strongly nonlinear vibration of rotating functionally graded ring plate

Hu¹,

Bao²,

Xu³

2020

Journal of Theoretical and Applied Mechanics

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Section: Introductionmentioning

confidence: 99%

Thermoelastic strongly nonlinear vibration of rotating functionally graded ring plate

Hu¹,

Bao²,

Xu³

2020

Journal of Theoretical and Applied Mechanics

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“…Farimani and Mohadeszadeh [4] by applying FGM which graded axially by a mixture rule studied the thermo-elastic bending behavior of rotating plate. Yousefitabar and Matapouri [5] investigated the buckling behavior of FG annular plate in thermal conditions. A power law rule was used to model the material properties variation.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of different types of porous FG conical sandwich shells in various thermal surroundings

Rahmani

Mohammadi

Kakavand

2020

J Braz. Soc. Mech. Sci. Eng.

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For the first time, by applying a modified high-order sandwich shells theory, buckling behavior of two types of porous FG conical sandwich shells are investigated. In the first type, the face sheets and in the second one the core are made of FGM modeled by power law rule that is modified by considering two types of porosity distributions. All materials are temperature dependent and uniform; linear and nonlinear temperature distributions are used to model the effect of the temperature changing in the sandwiches. Governing equations are obtained by a variation principle and solved by Galerkin method. To verify the results, they are compared with FEM results obtained by Abaqus software and for special cases with the results in literatures. Keywords Conical sandwich shell Á Porosity Á FGM Á Temperature dependent Á Buckling List of symbols R 1 , R 2 Small and large radius (m) T Temperature (K) T Time (s) u 0j , v 0j , w 0j Displacements of mid-plane of layers m, n Wave numbers Greek symbols q Density (kg m-3) v, w Curve-linear coordination component c Semi-angle vertex of the cone u v , u w Rotation of normal to mid-plane vector t Poisson ratio e v , e w , e z Normal strains in face sheets and core c vw , c wz , c vz Shear strains in face sheets and core f Porosity volume fraction k v , k w , k z Lagrange multipliers Superscripts T Related to thermal resultant Subscripts j = i, o, c Related to inner and outer face sheets and core

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“…The equilibrium and stability equations in general form were obtained and eigenvalue solution of stability equations was achieved, and close-form phrases were reported to predict the critical buckling temperatures or loads of thin FGM circular plates. Yousefitabar et al [15] investigated the instability of thin FGM annular plates subjected to transversely distributed temperature loading using the CPT. Existence of bifurcation buckling for various boundary conditions was examined and an analytical solution was presented to calculate the thermal buckling load by finding the exact eigenvalues of the stability equation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear axisymmetric thermomechanical response of FGM circular plates

Zhao

2020

J Braz. Soc. Mech. Sci. Eng.

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Based on von Kármán plate theory, axisymmetric geometrically nonlinear governing equations of simple power-law type functionally graded material (FGM) circular plates are derived. Material properties are assumed to be temperature-independent, and thermal or/and mechanical loads are considered in the derivation. Considering clamped boundary conditions, the dimensionless critical (lowest) buckling temperature (temperature difference) 14.684 of the systems is obtained by analyzing linear-eigenvalue problem. With this constant and an analytical formula proposed in this paper, accurate dimensional critical (lowest) buckling temperature (temperature difference) of any specified clamped FGM circular plate can be easily calculated. Moreover, two-point boundary value problem posed by the governing equations and the clamped boundary conditions is solved using the shooting method. Thermal buckling response under thermal load and geometrically nonlinear mechanical behaviors under thermomechanical load of the system are discussed. When the temperature difference of the upper and lower surfaces of FGM plates exists, the solution of one-dimension Fourier heat conduction equation is an infinite series, which depicts a nonlinear temperature field (NLTF) along the thickness direction of plates. The effects of the initial terms of the series on the accuracy of solutions are examined. The results reveal it is necessary to take enough the initial terms of the series even for thinner FGM plates. Typical load-deflection curves of the clamped FGM circular plates with different temperature fields (along the thickness) are presented. For a given temperature field, the clamped FGM circular plates under transverse uniform load are a hard stiffness nonlinear system. When the values of thermal and mechanical load and their loading sequence meet certain combinations, the clamped circular plate will inevitably undergo secondary buckling (snap-through buckling).

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Thermally induced buckling of thin annular FGM plates

Cited by 10 publications

References 51 publications

Thermoelastic strongly nonlinear vibration of rotating functionally graded ring plate

Thermoelastic strongly nonlinear vibration of rotating functionally graded ring plate

Buckling analysis of different types of porous FG conical sandwich shells in various thermal surroundings

Nonlinear axisymmetric thermomechanical response of FGM circular plates

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