An Investigating the Elastic Response of Smart Cylinders Under Asymmetric Loading


  • Malihe Eftekhari 1 Department of Mechanical Engineering, Sirjan University of Technology, Sirjan



Smart Cylinder, FGPM, Asymmetric loading, Hygrothermo-magneto-elastic response.


This paper investigates the hygrothermal-magneto-elastic response of functionally graded piezomagnetic (FGPM) cylinders under asymmetric loading. The cylinders are supported by a Winkler-type elastic foundation, and their properties vary with the radius according to a power-law function. By solving 2D equations of Fickian diffusion and Fourier relations, the distribution of asymmetric moisture concentration and temperature field is determined. Incorporating constitutive equations into mechanical and magnetic equilibrium equations yields three second-order partial differential equations. The equations are solved using the separation of variables and complex Fourier series. Simulation results demonstrate the influence of hygrothermal loading, magnetic field, elastic foundation, and material inhomogeneity on the cylinder's response.


• Akbarzadeh, A., & Chen, Z. (2012). Magnetoelectroelastic behavior of rotating cylinders resting on an elastic foundation under hygrothermal loading. Smart Materials and Structures, 21(12), 125013.

• Akbarzadeh, A., & Chen, Z. (2013). Hygrothermal stresses in one-dimensional functionally graded piezoelectric media in constant magnetic field. Composite Structures, 97, 317-331.

• Allam, M., Zenkour, A., & Tantawy, R. (2014). Analysis of functionally graded piezoelectric cylinders in a hygrothermal environment. Advances in Applied Mathematics and Mechanics, 6(2), 233-246.

• Arani, A. G., Maraghi, Z. K., Mozdianfard, M., & Shajari, A. (2010). Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk. International Journal of Mechanics and Materials in Design, 6(4), 341-349.

• Chen, W., Bian, Z., Lv, C., & Ding, H. (2004). 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid. International Journal of Solids and Structures, 41(3-4), 947-964.

• Dai, H., & Wang, X. (2006). Magneto–thermo–electro–elastic transient response in a piezoelectric hollow cylinder subjected to complex loadings. International Journal of Solids and Structures, 43(18-19), 5628-5646.

• Das, P., Islam, M. A., Somadder, S., & Hasib, M. A. (2023). Analytical and numerical solutions of pressurized thick-walled FGM spheres. Archive of Applied Mechanics, 93(7), 2781-2792.

• Dhore, N., Khalsa, L., & Varghese, V. (2023). Hygrothermoelastic analysis of non-simple nano-beam induced by ramp-type heating. Archive of Applied Mechanics.

• Dini, A., & Abolbashari, M. H. (2016). Hygro-thermo-electro-elastic response of a functionally graded piezoelectric cylinder resting on an elastic foundation subjected to non-axisymmetric loads. International Journal of Pressure Vessels and Piping, 147, 21-40.

• Dini, A., Nematollahi, M. A., & Hosseini, M. (2019). Analytical solution for magneto-thermo-elastic responses of an annular functionally graded sandwich disk by considering internal heat generation and convective boundary condition. Journal of Sandwich Structures & Materials, 1099636219839161.

• Dini, A., Shariati, M., Zarghami, F., & Nematollahi, M. A. (2020). Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(8), 1-22.

• El Khouddar, Y., Adri, A., Outassafte, O., El Hantati, I., Rifai, S., & Benamar, R. (2022). Influence of hygro-thermal effects on the geometrically nonlinear free and forced vibrations of piezoelectric functional gradient beams with arbitrary number of concentrated masses. Archive of Applied Mechanics, 92(9), 2767-2784.

• Fazelzadeh, S. A., Hosseini, M., & Madani, H. (2011). Thermal divergence of supersonic functionally graded plates. Journal of thermal Stresses, 34(8), 759-777.

• Galic, D., & Horgan, C. (2003). The stress response of radially polarized rotating piezoelectric cylinders. J. Appl. Mech., 70(3), 426-435.

• Hosseini, M., Arani, A. G., Karamizadeh, M. R., Afshari, H., & Niknejad, S. (2019). Aeroelastic analysis of cantilever non-symmetric FG sandwich plates under yawed supersonic flow. Wind and Structures, 29(6), 457.

• Hosseini, M., & Dini, A. (2015). Magneto-thermo-elastic response of a rotating functionally graded cylinder. Structural Engineering and Mechanics, 56(1), 137-156.

• Hosseini, M., Dini, A., & Eftekhari, M. (2017). Strain gradient effects on the thermoelastic analysis of a functionally graded micro-rotating cylinder using generalized differential quadrature method. Acta Mechanica, 228(5), 1563-1580.

• Hosseini, M., & Fazelzadeh, S. (2010). Aerothermoelastic post-critical and vibration analysis of temperature-dependent functionally graded panels. Journal of thermal Stresses, 33(12), 1188-1212.

• Hosseini, M., Fazelzadeh, S., & Marzocca, P. (2011). Chaotic and bifurcation dynamic behavior of functionally graded curved panels under aero-thermal loads. International Journal of Bifurcation and Chaos, 21(03), 931-954.

• Jabbari, M., Mohazzab, A., Bahtui, A., & Eslami, M. (2007). Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, 87(6), 413-429.

• Khoshgoftar, M., Arani, A. G., & Arefi, M. (2009). Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material. Smart Materials and Structures, 18(11), 115007.

• Li, X., Xie, J., & Shi, P. (2023). Magneto-thermal–mechanical analysis of functionally graded rotating cylinder and circular disk. Archive of Applied Mechanics, 93(4), 1449-1457.

• Nematollahi, M., Dini, A., & Hosseini, M. (2019). Thermo-magnetic analysis of thick-walled spherical pressure vessels made of functionally graded materials. Applied Mathematics and Mechanics, 40(6), 751-766.

• Rastgoo, M., Fazelzadeh, S. A., Eftekhari, M., & Hosseini, M. (2017). Flow-induced flutter instability of functionally graded cantilever pipe. International Journal of Acoustics and Vibration, 22(3), 320-325.

• Saadatfar, M., & Aghaie-Khafri, M. (2014). Hygrothermomagnetoelectroelastic analysis of a functionally graded magnetoelectroelastic hollow sphere resting on an elastic foundation. Smart Materials and Structures, 23(3), 035004.

• Saadatfar, M., & Aghaie-Khafri, M. (2015). Hygrothermal analysis of a rotating smart exponentially graded cylindrical shell with imperfect bonding supported by an elastic foundation. Aerospace Science and Technology, 43, 37-50.

• Sayman, O. (2005). Analysis of multi-layered composite cylinders under hygrothermal loading. Composites Part A: Applied Science and Manufacturing, 36(7), 923-933.

• Shao, Z., Ang, K., Reddy, J., & Wang, T. (2008). Nonaxisymmetric thermomechanical analysis of functionally graded hollow cylinders. Journal of thermal Stresses, 31(6), 515-536.

• Sih G.C., M., J.G., Chou S.C. (1986). Hygrothermoelasticity. Dordrecht: Martinus Nijhoff Publishers.

• Sui, Y., Wang, W., Zhang, H., & Liang, H. (2023). 3D frictional contact of graded magneto-electro-elastic film-substrate system under electromagnetic fields. International Journal of Solids and Structures, 269, 112217.

• Wang, Y., Xu, R., Ding, H., & Chen, J. (2010). Three-dimensional exact solutions for free vibrations of simply supported magneto-electro-elastic cylindrical panels. International Journal of Engineering Science, 48(12), 1778-1796.

• Yang, J., Sun, G., & Yang, J. (2021). Bifurcation and chaos of functionally graded carbon nanotube reinforced composite beam with piezoelectric layer. Advances in Applied Mathematics and Mechanics, 13(3), 569-589.

• Zandi-Baghche-Maryam, A., Dini, A., & Hosseini, M. (2022). Wave propagation analysis of inhomogeneous Multi–Nanoplate systems subjected to a thermal field considering surface and flexoelectricity effects. Waves in Random and Complex Media, 1-28.



How to Cite

Eftekhari , M. (2023). An Investigating the Elastic Response of Smart Cylinders Under Asymmetric Loading. International Journal of Modern Achievement in Science, Engineering and Technology, 1(1), 65–72.