Thermal Buckling Analysis of FGM Sandwich Circular Plates Under Transverse Nonuniform Temperature Field Actions

GONG Xuebei; ZHAO Weidong; GUO Dongmei

doi:10.21656/1000-0887.430094

Volume 44 Issue 4

Apr. 2023

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GONG Xuebei, ZHAO Weidong, GUO Dongmei. Thermal Buckling Analysis of FGM Sandwich Circular Plates Under Transverse Nonuniform Temperature Field Actions[J]. Applied Mathematics and Mechanics, 2023, 44(4): 419-430. doi: 10.21656/1000-0887.430094

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Thermal Buckling Analysis of FGM Sandwich Circular Plates Under Transverse Nonuniform Temperature Field Actions

doi: 10.21656/1000-0887.430094

GONG Xuebei^{1, 2
,},
ZHAO Weidong^{1, 2
,
,},
GUO Dongmei^{1, 2}

1.
School of Civil Engineering, Qinghai University, Xining 810016, P.R.China
2.
Qinghai Provincial Key Laboratory of Energy-Saving Building Materials and Engineering Safety, Xining 810016, P.R.China

Received Date: 2022-03-21
Rev Recd Date: 2022-05-05
Publish Date: 2023-04-01

Abstract

Abstract

Based on the von Kármán geometric nonlinear plate theory, the displacement-type geometric nonlinear governing equations for FGM sandwich circular plates under transverse nonlinear temperature field actions were derived. With the immovable clamped boundary condition, the analytical formula for dimensional critical buckling temperature differences of the system was obtained from the solution of the linear eigenvalue problem. Moreover, the 2-point boundary value problem of ordinary differential equations was solved with the shooting method. The effects of geometric parameters, constituent material properties, gradient indexes, temperature field parameters and layer-thickness ratios on the critical buckling temperature differences, the thermal postbuckling equilibrium paths, and the buckling equilibrium configurations of FGM sandwich circular plates, were investigated. The results show that, with the increases of the thickness-radius ratio, the relative thickness of the FGM layer and the gradient index, the FGM sandwich circular plate's critical buckling temperature difference will increase monotonically. Given a fixed radius and a fixed total thickness, the postbuckling deformation of the FGM sandwich circular plate will decrease significantly with the relative thickness of the FGM layer.
- FGM,
- sandwich circular plate,
- nonuniform temperature field,
- thermal buckling,
- shooting method

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References

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