Study of a Beam FGM under Loading Electrostatic

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume 17 No. 1, January 2016, Pages 1-17

H. M. Berrabah1,3,*, N. Z. Sekrane1,2, B. E. Adda1,2
1Département de Génie Civil, Centre Universitaire de Relizane, Relizane, Algérie
2Département de Génie Civil, Université Djillali Liabes, Sidi Bel Abbes, Algérie
3Laboratoire des Matériaux et Hydrologie, Sidi Bel Abbes, Algérie
*Corresponding author: b_hamza_2005@yahoo.fr

KEYWORDS

FGM, beam, electric potential, piezothermoelastic, elasticity, thermal material parameters

ABSTRACT

Based on the theory of elasticity, some exact solutions of functionally gradient piezothermoelastic cantilevers under different coupled loadings are obtained. As an application, these solutions have been successfully used to identify the gradient piezoelectric parameter and the thermal material coefficients. Besides, some numerical results have been carried out for the cantilever under two different kinds of loadings. It is found that the tip deflection of the cantilever agrees very well with the experimental and theoretical findings provided by other investigations. The present study also shows that the linear change of thermal material parameters does not influence the distribution of the stress and induction of the cantilever. But it influences the components of strain and electric field strength as well as the displacement and electric potential of the cantilever. The analytical expressions have been derived for the through thickness stresses of a composite active FGM beam subjected to electrical excitation. The structure is comprised of a substrate, an electro-elastically graded layer and an active layer. Continuous gradation of the volume fraction in the FGM layer is modelled in the form of an mth power polynomial of the coordinate axis in thickness direction of the beam. A numerical scheme of discretizing the continuous FGM layer (in sub-layers) and treating the beam as a discretely graded structure has also been developed. Appropriate expressions for the solution have been derived for the case of continuous power law gradation (mth power) of the FGM layer. The discretized FGM layer scheme has been shown to yield results that practically match those predicted analytically by the closed-form model.

CITE THIS ARTICLE

MLA
Berrabah, H. M., et al. “Study of a Beam FGM under Loading Electrostatic.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 17.1 (2016): 1-17.

APA
Berrabah, H. M., Sekrane, N. Z., & Adda, B. E. (2016). Study of a Beam FGM under Loading Electrostatic. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 17(1), 1-17.

Chicago
Berrabah, H. M., N. Z. Sekrane, and B. E. Adda. “Study of a Beam FGM under Loading Electrostatic.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 17, no. 1 (2016): 1-17.

Harvard
Berrabah, H.M., Sekrane, N.Z. and Adda, B.E., 2016. Study of a Beam FGM under Loading Electrostatic. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 17(1), pp.1-17.

Vancouver
Berrabah, HM, Sekrane, NZ, Adda, BE. Study of a Beam FGM under Loading Electrostatic. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2016;17(1):1-17.

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