Steel and Composite Structures

  • 제40권5호
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  • Pages.723-732
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  • 2021
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Electro-thermo-mechanical stress analysis of smart sandwich cylindrical shell

  • Zhou, Yuhua (Advanced Manufacturing and Modern Equipment Institute, Jiangsu University) ;
  • Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • allahyari, Seyedmahmoodreza (Department of Mechanical Engineering, Dariun Branch, Islamic Azad University) ;
  • behshad, Amir (Faculty of Industry and Mining, Yasouj University)
  • 투고 : 2021.05.26
  • 심사 : 2021.07.28
  • 발행 : 2021.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, stress analysis of a multi-walled hollow cylinder made from a functionally graded material (POLYMER) sandwiched between two piezoelectric layers is investigated. This system is subjected to internal and external pressure, a distributed temperature field due to steady state heat conduction with convective boundary condition, and a constant potential difference imposed on piezoelectric layers between its inner and outer surfaces or combination of these loadings. All mechanical and thermal properties except for the Poisson's ratio of Polymer layer are assumed to be power functions of the radial position. Using equilibrium equations, stress-strain relations and electromechanical coupling of piezoelectric layer, the constitutive differential equation in term of radial displacement is obtained. Considering electro-mechanical boundary conditions, this differential equation is analytically solved. The electro-thermo-mechanical stresses, electric potential and radial displacement distributions in three layers are obtained.

키워드

과제정보

This Work supported by Natural Science Research of Jiangsu Higher Education Institutions of China (No.18KJB510007) and Senior Talent Foundation of Jiangsu University (No.16JDG037).

참고문헌

  1. Al-Furjan, M.S.H., Farrokhian, A., Keshtegar, B., Kolahchi, R. and Trung, N.T. (2020), "Higher order nonlocal viscoelastic strain gradient theory for dynamic buckling analysis of carbon nanocones", Aerosp. Sci. Technol., 107, 106259. https://doi.org/10.1016/j.ast.2020.106259.
  2. Al-Furjan, M.S.H., Farrokhian, A., Mahmoud, S.R. and Kolahchi, R. (2021a), "Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact", Thin Wall. Struct., 163, 107706. https://doi.org/10.1016/j.tws.2021.107706.
  3. Al-Furjan, M.S.H., Farrokhian, A., Keshtegar, B., Kolahchi, R. and Trung, N.T. (2021b), "Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory", Europ. J. Mech.- A Solids, 86, 104169. https://doi.org/10.1016/j.euromechsol.2020.104169.
  4. Ahmadi, I. (2017), "A Galerkin Layerwise Formulation for three-dimensional stress analysis in long sandwich plates", Steel Compos. Struct., 24(5), 523-536. https://doi.org/10.12989/scs.2017.24.5.523.
  5. Benchiha, A., Madani, K., Touzain, S., Feaugas, X. and Ratwani, M. (2016), "Numerical analysis of the Influence of the presence of disbond region in adhesive layer on the stress intensity factors (SIF) and crack opening displacement (COD) in plates repaired with a composite patch ", Steel Compos. Struct., 20(4), 951-962. https://doi.org/10.12989/scs.2016.20.4.951.
  6. Chen, Y. and Shi, Z.F. (2005), "Analysis of a functionally graded piezothermoelatic hollow cylinder", J. Zhejiang Univ. SCI., 6A, 956-961. https://doi.org/10.1080/01495730802250508.
  7. Chen, X., Bai, Z., Zeng, Y., Jiang, R.J. and Francis, T.K. (2016), "Prestressed concrete bridges with corrugated steel webs: Nonlinear analysis and experimental investigation", Steel Compos. Struct., 21(5), 1045-1067. https://doi.org/10.12989/scs.2016.21.5.1045.
  8. Dai, H.L., Fu, Y.M. and Dong, Z.M., (2006), "Exact solutions for functionally graded pressure vessels in a uniform magnetic field", Int. J. Solids Struct., 43, 5570-5580. https://doi.org/10.1016/j.ijsolstr.2005.08.019.
  9. Doan, T.N., Thom, D.V., Thanh, N.T., Chuong, P.V. and Nguyen, H.N. (2020), "Analysis of stress concentration phenomenon of cylinder laminated shells using higher-order shear deformation Quasi-3D theory", Compos. Struct., 232, 111526. https://doi.org/10.1016/j.compstruct.2019.111526.
  10. Fang, X.Q., Liu, J.X., Yang, S.P. and Zhang, L.L. (2010), "Effect of surface/interface on the dynamic stress of two interacting cylindrical nano-inhomogeneities under compressional waves", Thin Solid Films, 518, 6938-6944. https://doi.org/10.1016/j.tsf.2010.06.022.
  11. Galic, D. and Horgan, C.O. (2002), "The stress response of radially polarized rotating piezoelectric cylinders", J. Appl. Mech., 66, 257-272. https://doi.org/10.1115/1.1572900.
  12. Garinei, A. and Marsili, R. (2013), "Thermoelastic Stress Analysis of the contact between a flat plate and a cylinder", Measurement, 52, 102-110. https://doi.org/10.1016/j.measurement.2014.03.005.
  13. Hajlaoui, A., Chebbi, E. and Dammak, F. (2019a), "Buckling analysis of carbon nanotube reinforced FG shells using an efficient solid-shell element based on a modified FSDT", Thin-Wall. Struct., 144, 106254. https://doi.org/10.1016/j.tws.2019.106254.
  14. Hajlaoui, A., Chebbi, E., Wali, M. and Dammak, F. (2019b), "Static analysis of carbon nanotube-reinforced FG shells using an efficient solid-shell element with parabolic transverse shear strain", Eng. Computat., 37, 823-849. https://doi.org/10.1108/EC-02-2019-0075.
  15. Hajlaoui, A., Chebbi, E., Wali, M. and Dammak, F. (2020), Geometrically nonlinear analysis of POLYMER shells using solid-shell element with parabolic shear strain distribution", Int. J. Mech. Mater. Des., 16, 351-366, https://doi.org/10.1007/s10999-019-09465-x.
  16. Habib, E.S., El-Hadek, M.A. and El-Megharbel, A. (2019), "Stress analysis for cylinder made of POLYMER and subjected to thermo-mechanical loadings", Metals, 9, 1-14. https://doi.org/10.3390/met9010004.
  17. Keshtegar, B., Farrokhian, A., Kolahchi, R. and Trung, N.T. (2020), "Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels", Europ. J. Mech. - A/Solids, 82, 104010. https://doi.org/10.1016/j.euromechsol.2020.104010.
  18. Kolahchi. R., Rabani Bidgoli. M., Beygipoor. G.H. and Fakhar, M.H. (2015), A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Tech., 29, 3669-3677. https://doi.org/10.1007/s12206-015-0811-9.
  19. Kolahchi, R., Safari, M. and Esmailpour, M. (2016a), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265, https://doi.org/10.1016/j.compstruct.2016.05.023.
  20. Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016b), "Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories", Compos. Struct., 157, 174-186, https://doi.org/10.1016/j.compstruct.2016.08.032.
  21. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Naddaf Oskouei, A. (2017), "Visco-nonlocal-refined Zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods", Thin-Wall. Struct., 113, 162-169. https://doi.org/10.1016/j.tws.2017.01.016.
  22. Kolahchi, R., Keshtegar, B. and Trung, N.T. (2021a), "Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions", Int. J. Sandw. Struct., https://doi.org/10.1177/10996362211020388.
  23. Kolahchi, R. and Kolahdouzan, F. (2021b), "A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions", Appl. Math. Model., 91, 458-475. https://doi.org/10.1016/j.apm.2020.09.060.
  24. Lee, D.S. (2007), "The effect of an elliptic crack on the stress distribution in a long circular cylinder", Int. J. Solids Struct., 44, 4110-4119. https://doi.org/10.1016/j.ijsolstr.2006.11.009.
  25. Li, Y., Wang, C. and Wang, R. (2012), "The thermal stress analysis and structure optimum of neck tube with vertical cryogenic insulated cylinders based on ANSYS", Nuclear Eng. Design, 252, 144-152, https://doi.org/10.1016/j.nucengdes.2012.05.042.
  26. Li, T.J., Liu, S,W. and Chan, S.L. (2015), "Cross-sectional analysis of arbitrary sections allowing for residual stresses", Steel Compos. Struct., 18(4), 444-456. https://doi.org/10.12989/scs.2015.18.4.985.
  27. Liew, K.M., Kitipornchai, S., Zhang, X.Z. and Lim, C.W., (2003), "Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders", Int. J. Solids Struct., 40, 2355-2380. https://doi.org/10.1016/S0020-7683(03)00061-1.
  28. Sallem, H. and Hamdi, H. (2015), "Analysis of measured and predicted residual stresses induced by finish cylindrical grinding of high speed steel with CBN wheel", Procedia CIRP, 31, 381-386. https://doi.org/10.1016/j.procir.2015.03.080.
  29. Tiersten, H.F. (1969), "Linear piezoelectric plate vibrations", Plenum Press, New York.
  30. Wang, Y. and Shao, Y. (2018), "stress analysis of a new steel-concrete composite I-girder", Steel Compos. Struct., 28(1), 51-61. https://doi.org/10.12989/scs.2018.28.1.051.