Steady-state thermal and mechanical stresses in Two-Dimensional Functionally Graded Piezoelectric Materials (2D-FGPMs) for a hollow infinite cylinder

Document Type : Research Note

Authors

1 School of Science and Engineering, Sharif University of Technology, International Campus, Kish Island, Iran

2 Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

3 Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

In this paper, the general analysis of two-dimensional steady-state thermal and mechanical stresses for a hollow thick cylinder made of functionally graded piezoelectric materials (2D-FGPMs) is developed.The general form of thermal ,mechanical and electrical boundary conditions is considered on the inside and outside surfaces. A direct method is used to solve the heat conduction equation and the non-homogenous system of partial differential Navier equations, using the complex Fourier series and the power law functions method.The material properties are assumed to depend on the radial and circumferential variables and are expressed as power law functions along the radial and circumferential direction.

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References:
1. Shelley, W.F., Wan, S., and Bowman, K.J. "Functionally graded piezoelectric ceramics", J. of Mater. Sci. Forum, 308(1), pp. 515-520 (1999).
2. Chen, X.L., Zhao, Z.Y., and Liew, K.M. "Stability of piezoelectric FGM rectangular plates subjected to nonuniformly distributed load, heat and voltage", J. of Adv. Eng. Softw., 39(2), pp. 121-131 (2008).
3. Dai, H.L., Xiao. X., Fu, Y.M., and Hong, l. "Analytical solutions of stresses in functionally graded piezoelectric hollow structures", Int. J. of SSC, 150(1), pp. 763-767 (2010).
4. Akbari Alashti, R., Khorsand, M., and Tarahhomi, M.H. "Thermo-elastic analysis of a functionally graded spherical shell with piezoelectric layers by differential quadrature method", J. of Scientia Iranica, 20(1), pp. 109-119 (2013).
5. Nemat-Alla, M. "Reduction of thermal stresses by developing two-dimensional functionally graded materials", Int. J. of Solis and Structure, 40(26), pp. 7339- 7356 (2003).
6. Asgari, M. and Akhlaghi, M. "Natural frequency analysis of 2D-FGM thick hollow cylinder based on threedimensional elasticity equations", J. of ASE, 14(2), pp. 72-81 (2011).
7. Darabseh,T. and Alshaer, B. "Thermoelastic analysis of 2D-FGM hollow circular cylinder with finite length by finite element method", Int. J. of CAT, 46(2), pp. 175-186 (2013).
8. Jabbari, M., Meshkini, M., and Eslami, M.R. "Nonaxisymmetric mechanical and thermal stresses In FGPPM hollow cylinder", J. of PVT, 134(6), pp. 1-25 (2012).
9. Jabbari, M., Meshkini, M., and Eslami, M.R. "Mechanical and thermal stresses In FGPPM hollow cylinder due to radially symmetric loads", J. PVT., 138(1), pp. 1-9 (2015).
10. Meshkini, M., Firoozbakhsh, K., Jabbari, M., and Selkghafari, A. "Asymmetric mechanical and thermal stresses in 2D-FGPPMs hollow cylinder", J. of UTHS., 149(4), pp. 448-469 (2016).
11. Meshkini, M., Firoozbakhsh, K., Jabbari, M., and Selkghafari, A. "An analytical investigation of a 2DPPMS hollow infinite cylinder under thermo-electromechanical (TEM) loading", J. of TAM., 56(1), pp. 107-122 (2017).
Volume 26, Issue 1
Transactions on Mechanical Engineering (B)
January and February 2019
Pages 428-444
  • Receive Date: 03 August 2017
  • Revise Date: 01 November 2017
  • Accept Date: 02 January 2018