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2 Journal of Theoretical and Applied Mechanics

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Finite element study on thermal buckling of functionally graded piezoelectric beams considering inverse effects

Nasirzadeh R., Behjat B., Kharazi M.

Journal of Theoretical and Applied Mechanics

2018

Vol. 56 nr 4

1097--1108

In this article, the buckling behavior and bifurcation point of Functionally Graded Piezoelectric (FGP) beams are investigated based on Euler-Bernoulli beam theory. The finite element method is employed to model the beam in thermal environment. The material properties of the beam are considered to vary gradually in the thickness direction and the beam is subjected to electrical and thermal loading. In this paper, direct and inverse piezoelectric effects are considered and buckling of the beam in the sensor state is investigated. By solving the eigenvalue problem, the buckling load of the FGP beam is obtained and the effect of various parameters such as power law index, temperature, applied voltage and beam aspect ratio on the buckling load are investigated. The results show that the boundary conditions are the main factor that affects the buckling load of the FGP beam.

Investigation of boundary condition effects on the stability of FGP beams in thermal environment

Nasirzadeh R., Behjat B., Kharazi M., Khabazaghdam A.

Journal of Theoretical and Applied Mechanics

2017

Vol. 55 nr 3

1003--1014

In this paper, stability and instability of Functionally Graded Piezoelectric (FGP) beams is investigated based on the Timoshenko beam theory. The material properties of the beam are considered to change gradually through thickness of the beam by a simple power law. By using the principle of minimum total potential energy, governing equations of the beam are derived. Stability behavior of the beam is predicted by solving the governing equations of the FGP beam. The results show that the homogeneity of boundary conditions plays a critical role in the stability of the FGP beam. While non-homogeneous boundary conditions lead to stable behavior of the FGP beam; homogeneous boundary conditions cause instability in the beam. By solving the eigenvalue equation of the FGP beam, the buckling load of the beam is obtained for the beams that have unstable behavior. Finally, the effects of various parameters on the buckling load of the unstable beam, such as power law index, temperature, applied voltage and aspect ratio are investigated, and the results are compared with the Euler-Bernoulli beam theory.