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| Stability Analysis of Functionally Graded Simply Supported Beams Considering Pre-buckling Coupling Deformation |
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Abstract The pre-buckling coupling deformation of functionally graded material (FGM) beams will be caused by stretching-bending coupling effect under some boundary conditions, and this deformation has an effect on the stability of FGM beams. It is assumed that the material properties of FGM beams only change along the thickness direction, the equilibrium equation and the buckling governing equation including the effect of the pre-buckling coupling deformation, of FGM beams are derived based on the classical nonlinear beam theory and the concept of physical neutral surface in this paper, which are solved numerically by the shooting method. The effects of pre-buckling coupling deformation, gradient index and temperature dependence of material properties on the nonlinear deformation and stability of FGM beams are discussed.
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Received: 24 May 2021
Published: 19 April 2022
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2022, Vol. 43 
