journal article·2017-12

Bending analysis of piezoelectric exponentially graded fiber-reinforced composite cylinders in hygrothermal environments

Ashraf M. Zenkour

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Abstract

The closed-form solutions of a piezoelectric exponentially graded fiber-reinforced hollow cylinder in hygrothermal environment conditions are investigated. The interaction of electric displacement and electric potentials as well as the elastic deformations is discussed. The present piezoelectric fiber-reinforced circular cylinder is subjected to a mechanical load as well as an electric potential at its lateral surfaces. The resultant constitutive equations of the piezoelectric fiber-reinforced composite cylinder are analytically investigated. The thermal conductivity and the moisture diffusivity coefficient are supposed to change continuously in the radial direction by a simple exponential law. The hygrothermoelastic responses of piezoelectric exponentially graded fiber-reinforced hollow circular cylinders are presented. The significant of influence of the graduation of material, temperature, moisture, pressures and electric parameters is investigated. Concluding remarks and appropriate discussions are presented.
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OpenAlex topics: Composite Structure Analysis and Optimization · Numerical methods in engineering · Composite Material Mechanics

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References (35)

Show source-provided references
1. Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions. Dover Publications Inc, New York (1965)
2. Alashti, R.A., Khorsand, M.: Three-dimensional thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by differential quadrature method. Int. J. Press. Vessel. Pip. 88(5–7), 167–180 (2011). doi: 10.1016/j.ijpvp.2011.06.00110.1016/j.ijpvp.2011.06.001 ↗
3. Allam, M.N.M., Tantawy, R., Zenkour, A.M.: Semi-empirical and efficient solutions for FGPM hollow spheres in hygrothermal environment. KSCE J. Civil Eng. 20(5), 1958–1965 (2016). doi: 10.1007/s12205-015-0057-110.1007/s12205-015-0057-1 ↗
4. Allam, M.N.M., Zenkour, A.M., Tantawy, R.: Analysis of functionally graded piezoelectric cylinders in a hygrothermal environment. Advan. Appl. Math. Mech. 6(2), 233–246 (2014). doi: 10.4208/aamm.12-m127710.4208/aamm.12-m1277 ↗
5. Arefi, M.: Nonlinear thermoelastic analysis of thick-walled functionally graded piezoelectric cylinder. Acta Mech. 224(11), 2771–2783 (2013). doi: 10.1007/s00707-013-0888-010.1007/s00707-013-0888-0 ↗
6. Atrian, A., Jafari Fesharaki, J., Nourbakhsh, S.H.: Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads. Appl. Math. Mech. -Engl. Ed. 35(7), 939–954 (2015). doi: 10.1007/s10483-015-1959-910.1007/s10483-015-1959-9 ↗
7. Ballas, R.G.: Piezoelectric Multilayer Beam Bending Actuators. Springer, Berlin (2007)
8. Chen, C.Q., Shen, Y.P., Liang, X.: Three dimensional analysis of piezoelectric circular cylindrical shell of finite length. Acta Mech. 134(3), 235–249 (1999). doi: 10.1007/BF0131265710.1007/BF01312657 ↗
9. Dai, H.-L., Jiang, H.-J.: Analytical study for electromagnetothermoelastic behavior of a functionally graded piezoelectric solid cylinder. Mech. Advan. Mater. Struct. 20(10), 811–818 (2013). doi: 10.1080/15376494.2012.67671510.1080/15376494.2012.676715 ↗
10. Dai, H.-L., Wang, X.: Magneto–thermo–electro–elastic transient response in a piezoelectric hollow cylinder subjected to complex loadings. Int. J. Solids Struct. 43(18–19), 5628–5646 (2006). doi: 10.1016/j.ijsolstr.2005.06.09210.1016/j.ijsolstr.2005.06.092 ↗
11. Dai, H.-L., Dai, T., Zheng, H.-Y.: Stresses distributions in a rotating functionally graded piezoelectric hollow cylinder. Meccanica 47(47), 423–436 (2012). doi: 10.1007/s11012-011-9447-810.1007/s11012-011-9447-8 ↗
12. Dai, H.-L., Hong, L., Fu, Y.-M., Xiao, X.: Analytical solution for electromagnetothermoelastic behaviors of a functionally graded piezoelectric hollow cylinder. Appl. Math. Model. 34(2), 343–357 (2010). doi: 10.1016/j.apm.2009.04.00810.1016/j.apm.2009.04.008 ↗
13. Dai, H.-L., Wang, X., Dai, Q.H.: Thermoelectroelastic responses in orthotropic piezoelectric hollow cylinders subjected to thermal shock and electric excitation. J Reinforc Plast Compos 24(10), 1085–1103 (2005). doi: 10.1177/073168440504883410.1177/0731684405048834 ↗
14. Ding, H.J., Wang, H.M., Chen, W.Q.: Analytical solution of a special non-homogeneous pyroelectric hollow cylinder for piezothermoelastic axisymmetric plane strain dynamic problems. Appl. Math. Comput. 151(2), 423–441 (2004). doi: 10.1016/S0096-3003(03)00352-710.1016/S0096-3003(03)00352-7 ↗
15. Fesharaki, J.J., Fesharaki, V.J., Yazdipoor, M., Razavian, B.: Two-dimensional solution for electro-mechanical behavior of functionally graded piezoelectric hollow cylinder. Appl. Math. Model. 36(11), 5521–5533 (2012). doi: 10.1016/j.apm.2012.01.01910.1016/j.apm.2012.01.019 ↗
16. Ghorbanpour Arani, A., Abdollahian, M.Khoddami, Maraghi, Z.: Thermo-elastic analysis of a non-axisymmetrically heated FGPM hollow cylinder under multi-physical fields. Int. J. Mech. Mater. Des. 11(2), 157–171 (2015). doi: 10.1007/s10999-014-9263-010.1007/s10999-014-9263-0 ↗
17. Ghorbanpour Arani, A., Haghshenas, A., Amir, S., Mozdianfard, M.R., Latifi, M.: Electro-thermo-mechanical response of thick-walled piezoelectric cylinder reinforced by boron-nitride nanotubes. Strength Mater. 45(1), 102–115 (2013). doi: 10.1007/s11223-013-9437-210.1007/s11223-013-9437-2 ↗
18. Heyliger, P.: A note on the static behavior of simply supported laminated piezoelectric cylinders. Int. J. Solids Struct. 34(29), 3781–3794 (1997). doi: 10.1016/S0020-7683(97)00009-710.1016/S0020-7683(97)00009-7 ↗
19. Jones, R.M.: Mechanics of Composite Materials, 2nd edn. Taylor and Francis, Philadelphia (1999)
20. Khoshgoftar, M.J., Ghorbanpour Arani, A., Arefi, M.: Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material. Smart Mater. Struct. 18(11), 115007 (2009). doi: 10.1088/0964-1726/18/11/11500710.1088/0964-1726/18/11/115007 ↗
21. Kumar, A., Chakraborty, D.: Effective properties of thermo-electro-mechanically coupled piezoelectric fiber reinforced composites. Mater. Des. 30(4), 1216–1222 (2009). doi: 10.1016/j.matdes.2008.06.00910.1016/j.matdes.2008.06.009 ↗
22. Mallik, M., Ray, M.C.: Effective coefficients of piezoelectric fiber-reinforced composites. AIAA J. 41(4), 704–710 (2003). doi: 10.2514/2.200110.2514/2.2001 ↗
23. Rahimi, G.H., Arefi, M., Khoshgoftar, M.J.: Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads. Appl. Math. Mech. -Engl. Ed. 32(8), 997–1008 (2011). doi: 10.1007/s10483-011-1475-610.1007/s10483-011-1475-6 ↗
24. Ramirez, F., Heyliger, P.R., Pan, E.: Free vibration response of two-dimensional magneto-electro-elastic laminated plates. J. Sound Vib. 292(3–5), 626–644 (2006). doi: 10.1016/j.jsv.2005.08.00410.1016/j.jsv.2005.08.004 ↗
25. Ray, M.C., Batra, R.C.: Effective properties of carbon nanotube and piezoelectric fiber reinforced hybrid smart composites. ASME J. Appl. Mech. 76(3), 034503 (2009). doi: 10.1115/1.306363310.1115/1.3063633 ↗
26. Saadatfar, M., Razavi, A.S.: Piezoelectric hollow cylinder with thermal gradient. J. Mech. Sci. Technol. 23(1), 45–53 (2009). doi: 10.1007/s12206-008-1002-810.1007/s12206-008-1002-8 ↗
27. Shen, H.S.: A comparison of post-buckling behavior for FGM cylindrical shells with piezoelectric fiber reinforced composite actuators. J. Eng. Mater. Technol. 131(3): 031010-1–11 (2009). doi: 10.1115/1.312040810.1115/1.3120408 ↗
28. Tong, Z.H., Lo, S.H., Jiang, C.P., Cheung, Y.K.: An exact solution for the three-phase thermoelectro-magneto-elastic cylinder model and its application to piezoelectric-magnetic fiber composites. Int. J. Solids Struct. 45(20), 5205–5219 (2008). doi: 10.1016/j.ijsolstr.2008.04.00310.1016/j.ijsolstr.2008.04.003 ↗
29. Wu, C.-P., Tsai, T.-C.: Exact solutions of functionally graded piezoelectric material sandwich cylinders by a modified Pagano method. Appl. Math. Model. 36(5), 1910–1930 (2012). doi: 10.1016/j.apm.2011.07.07710.1016/j.apm.2011.07.077 ↗
30. Wu, X.H., Shen, Y.P., Chen, C.S.: An exact solution for functionally graded piezo-thermoelastic cylindrical shell as sensors or actuators. Mater. Lett. 57(22–23), 3532–3542 (2003). doi: 10.1016/S0167-577X(03)00121-610.1016/S0167-577X(03)00121-6 ↗
31. Wu, C.-P., Syu, Y.-S., Lo, J.-Y.: Three-dimensional solutions of multilayered piezoelectric hollow cylinders by an asymptotic approach. Int. J. Mech. Sci. 49(6), 669–689 (2007). doi: 10.1016/j.ijmecsci.2006.11.00210.1016/j.ijmecsci.2006.11.002 ↗
32. Ying, C., Zhifei, S.: Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings. Arch. Appl. Mech. 75(6), 326–337 (2006). doi: 10.1007/s00419-005-0418-110.1007/s00419-005-0418-1 ↗
33. Zenkour, A.M.: Piezoelectric behavior of an inhomogeneous hollow cylinder with thermal gradient. Int. J. Thermophys. 33(7), 1288–1301 (2012). doi: 10.1007/s10765-012-1248-310.1007/s10765-012-1248-3 ↗
34. Zenkour, A.M.: Exact solution of thermal stress problem of an inhomogeneous hygrothermal piezoelectric hollow cylinder. Appl. Math. Model. 38(24), 6133–6143 (2014a). doi: 10.1016/j.apm.2014.05.02810.1016/j.apm.2014.05.028 ↗
35. Zenkour, A.M.: Hygrothermoelastic responses of inhomogeneous piezoelectric and exponentially graded cylinders. Int. J. Press. Vessel Pip. 119, 8–18 (2014b). doi: 10.1016/j.ijpvp.2014.02.00110.1016/j.ijpvp.2014.02.001 ↗