Three-dimensional semi-analytical solutions of arbitrary functionally graded piezoelectric doubly curved shell panel under thermo-electric load

References

• C. P. Wu, K. H. Chiu and R. Y. Jiang, “A meshless collocation method for the coupled analysis of functionally graded piezo-thermo-elastic shells and plates under thermal loads,” Int. J. Eng. Sci., vol. 56, pp. 29–48, 2012. DOI: 10.1016/j.ijengsci.2012.03.001.
   Web of Science ®Google Scholar
• C. P. Wu and S. E. Huang, “Three-dimensional solutions of functionally graded piezo-thermo-elastic shells and plates using a modified Pagano method,” Comput. Mater. Continua, vol. 12, no. 3, pp. 251–281, 2009.
   Web of Science ®Google Scholar
• C. P. Wu and K. Y. Liu, “A state approach for the analysis of doubly curved functionally graded elastic and piezoelectric shells,” Comput. Mater. Continua, vol. 6, no. 3, pp. 177–199, 2007.
   Web of Science ®Google Scholar
• Z. Zhong and T. Shang, “Exact analysis of simply supported functionally graded piezo-thermoelectric plates,” J. Intell. Mater. Syst. Struct., vol. 16, no. 7–8, pp. 643–651, 2005. DOI: 10.1177/1045389X05050530.
   Web of Science ®Google Scholar
• X. Wang and E. Pan, “Exact solutions for simply supported and multilayered piezothermoelastic plates with imperfected interfaces,” TOMECHJ, vol. 1, no. 1, pp. 1–10, 2007. DOI: 10.2174/187415840070101001.
   Google Scholar
• G. P. Dube, S. Kapuria and P. C. Dumir, “Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending,” Int. J. Solids Struct., vol. 38, no. 11, pp. 1161–1177, 1996. DOI: 10.1016/0020-7403(96)00020-3.
   Google Scholar
• G. P. Dube, S. Kapuria and P. C. Dumir, “Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending,” Arch. Appl. Mech., vol. 66, no. 8, pp. 537–554, 1996. DOI: 10.1007/BF00808143.
   Web of Science ®Google Scholar
• G. M. Kulikov and S. V. Plotnikova, “Assessment of the sampling surfaces formulation for thermoelectroelastic analysis of layered and functionally graded piezoelectric shells,” Mech. Adv. Mater. Struct., vol. 24, no. 5, pp. 392–409, 2017. DOI: 10.1080/15376494.2016.1191098.
   Web of Science ®Google Scholar
• G. M. Kulikov and S. V. Plotnikova, “An analytical approach to three dimensional coupled thermoelectro elastic analysis of functionally graded piezoelectric plates,” J. Intell. Mater. Syst. Struct., vol. 28, no. 4, pp. 435–450, 2017. DOI: 10.1177/1045389X15588627.
   Web of Science ®Google Scholar
• G. M. Kulikov and S. V. Plotnikova, “Exact electroelastic analysis of functionally graded piezoelectric shells,” Int. J. Solids Struct., vol. 51, no. 1, pp. 13–25, 2014. DOI: 10.1016/j.ijsolstr.2013.09.004.
   Web of Science ®Google Scholar
• G. M. Kulikov, S. V. Plotnikova and A. A. Mamontov, “Sampling surfaces formulation for thermoelastic analysis of laminated functionally graded shells,” Meccanica, vol. 51, no. 8, pp. 1913–1929, 2016. DOI: 10.1007/s11012-015-0341-1.
   Web of Science ®Google Scholar
• G. M. Kulikov and S. V. Plotnikova, “Exact 3D thermoelectroelastic analysis of piezoelectric plates through a sampling surfaces method,” Mech. Adv. Mater. Struct., vol. 22, no. 1–2, pp. 33–43, 2015. DOI: 10.1080/15376494.2014.907949.
   Web of Science ®Google Scholar
• J. C. Monge and J. L. Mantari, “Exact solution of thermo-mechanical analysis of laminated composite and sandwich doubly-curved shell,” Compos. Struct., vol. 245, pp. 112323, 2020. DOI: 10.1016/j.compstruct.2020.112323.
   Web of Science ®Google Scholar
• C. P. Wu and S. Ding, “Coupled thermo-electro-mechanical analysis of sandwiched hybrid functionally graded elastic material and piezoelectric plates under thermal loads,” J. Mech. Eng. Sci., vol. 232, no. 10, pp. 1–20, 2017. DOI: 10.1177/0954406217710674.
   Google Scholar
• Z. Zhong and E. T. Shang, “Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate,” Int. J. Solids Struct., vol. 40, no. 20, pp. 5335–5352, 2003. DOI: 10.1016/S0020-7683(03)00288-9.
   Web of Science ®Google Scholar
• S. Brischetto, S., “Convergence analysis of the exponential matrix method for the solution of 3D equilibrium equations for free vibration analysis of plates and shells,” Composite Part B, vol. 98, pp. 453–471, 2016. DOI: 10.1016/j.compositesb.2016.05.047.
   Web of Science ®Google Scholar
• S. Brischetto, S., “Exact three-dimensional static analysis of singe-and multi-layered plates and shells,” Composite Part B, vol. 119, pp. 230–252, 2017. DOI: 10.1016/j.compositesb.2017.03.010.
   Web of Science ®Google Scholar
• S. Brischetto, R. Leetsch, E. Carrera, T. Wallmersperger and B. Kröplin, “Thermo-mechanical bending of functionally graded plates,” J. Thermal Stress., vol. 31, no. 3, pp. 286–308, 2008. DOI: 10.1080/01495730701876775.
   Web of Science ®Google Scholar
• S. Brischetto and E. Carrera, “Coupled thermo-electro-mechanical analysis of smart plates embedding composite and piezoelectric layers,” J. Thermal Stress., vol. 35, no. 9, pp. 766–804, 2012. DOI: 10.1080/01495739.2012.689232.
   Web of Science ®Google Scholar
• C. P. Wu, K. H. Chiu and Y. M. Wang, “A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells,’’ Computers,” Materials Continua, vol. 8, no. 2, pp. 93–132, 2008.
   Web of Science ®Google Scholar
• C. P. Wu and Y. C. Liu, “A review of semi-analytical numerical methods for laminated composite and multilayered functionally graded elastic/piezoelectric plates and shells,” Compos. Struct., vol. 147, pp. 1–15, 2016. DOI: 10.1016/j.compstruct.2016.03.031.
   Web of Science ®Google Scholar
• J. Fan and J. Zhang, “Analytical solutions for thick, doubly curved, laminated shells,” J. Eng. Mech., vol. 118, no. 7, pp. 1338–1356, 1992. DOI: 10.1061/(ASCE)0733-9399(192)118:7(1338).
   Web of Science ®Google Scholar
• T. M. B. Albarody and H. H. Al-Kayiem, “Dynamic analysis of laminated composite thermo-magneto-electro-elastic shells,” J. Mech. Sci. Technol., vol. 28, no. 12, pp. 4877–4891, 2014. DOI: 10.1007/s12206-014-0801-3.
   Web of Science ®Google Scholar
• K. Xu, A. K. Noor and Y. Y. Tang, “Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates,” Comput. Methods Appl. Mech. Eng., vol. 126, no. 3–4, pp. 355–371, 1995. DOI: 10.106/0045-7825(95)00825-L.
   Google Scholar
• K. Xu and A. K. Noor, “Three-dimensional analytical solutions for coupled thermoelectroelastic response of multilayered cylindrical shells,” AIAA J., vol. 34, no. 4, pp. 802–812, 1996. DOI: 10.2514/3.13143.
   Google Scholar
• C. P. Wu, J. Y. Lo and C. Kung, “An asymptotic theory for dynamic response of laminated piezoelectric shells,” Acta Mech., vol. 183, no. 3–4, pp. 177–208, 2006. DOI: 10.1007/s00707-005-0306-3.
   Web of Science ®Google Scholar
• A. Wang, H. Chen, Y. Hao and W. Zhang, “Vibration and bending behavior of functionally graded nanocomposite doubly-curved shallow shells reinforced by graphene nanoplates,” Results Phys., vol. 9, pp. 550–559, 2018. DOI: 10.1016/j.rinp.2018.02.062.
   Web of Science ®Google Scholar
• N. F. P. Ewolo, G. E. Ntamack and L. Azrar, “Dynamic and static behaviors of multilayered angle-ply magnetoelectroelastic laminates with viscoelastic interfaces,” Compos. Struct., vol. 189, pp. 667–687, 2018. DOI: 10.1016/j.compstruct.2018.01.083.
   Web of Science ®Google Scholar
• N. F. P. Ewolo, G. E. Ntamack and L. Azrar, “Dynamic analysis of multilayered magnetoelectroelastic plates based on a pseudo-Stroh formalism and Lagrange polynomials,” J. Intell. Mater. Syst. Struct., vol. 30, pp. 1–24, 2019. DOI: 10.1177/1045389X19828505.
   Web of Science ®Google Scholar
• N. F. P. Ewolo, G. E. Ntamack and L. Azrar, “Coupled state-space and Gauss integration procedures for static analysis of general functionally graded magnetoelectroelastic laminated plates,” Mech. Adv. Mater. Struct., vol. 29, no. 11, pp. 553–1569, 2022. DOI: 10.1080/15376494.2020.1829758.
   Web of Science ®Google Scholar
• N. F. P. Ewolo, G. E. Ntamack and L. Azrar, “Three-dimensional modeling of static deformation of arbitrary functionally graded multilayered multiferroic composites plates with weakly and highly conducting imperfect interfaces,” J. Intell. Mater. Syst. Struct., vol. 32, no. 17, pp. 1–26, 2021. DOI: 10.1177/1045389X20983883.
   Web of Science ®Google Scholar
• M. J. A. Manyo, G. E. Ntamack and L. Azrar, “3D-Dynamic modeling of cross-ply magneto-electro-elastic laminates based on the pseudo-stroh formalism,” Mech. Adv. Mater. Struct., vol. 28, no. 13, pp. 1337–1354, 2021. DOI: 10.1080/15376494.2019.1668094.
   Web of Science ®Google Scholar
• E. Carrera, M. Cinefra and F. A. Fazzolari, “Some results on thermal stress of layered plates and shells by using unified formulation,” J. Thermal Stress., vol. 36, no. 6, pp. 589–625, 2013. DOI: 10.1080/01495739.2013.784122.
   Web of Science ®Google Scholar
• H. H. Meuyou, F. P. Ewolo Ngak, G. E. Ntamack and L. Azrar, “A virtual layers-state-space method for 3D responses of arbitrary functionally graded magneto electro elastic plate,” Compos. Struct., vol. 268, pp. 113782, 2021. DOI: 10.1060/j.compstruct.2021.113782.
   Web of Science ®Google Scholar
• G. L. She, “Guided wave propagation of porous functionally graded plates: The effects of thermal loadings,” J. Thermal Stress., vol. 44, no. 10, pp. 1289–1305, 2021. DOI: 10.1080/01495739.2021.1974323.
   Web of Science ®Google Scholar
• S. Zghal, S. Trabelsi and A. Frikha, “Thermal free vibration analysis of functionally graded plates and panels with an improved finite shell element,” J. Thermal Stress., vol. 44, no. 3, pp. 315–341, 2021. DOI: 10.10.80/01495739.2021.187.1577.
   Web of Science ®Google Scholar
• S. Brischetto and R. Torre, “3D shell model for the thermo-mechanical analysis of FGM structures via imposed and calculated temperature profiles,” Aerospace Sci. Technol., vol. 85, pp. 125–149, 2019. DOI: 10.1016/j.ast.2018.12.011.
   Web of Science ®Google Scholar
• W. Ye, J. Liu, Q. Zang and G. Lin, “Investigation of bending behavior for laminated composite magneto-electro-elastic cylindrical shells subjected to mechanical or electric/magnetic loads,” Comput. Math. Appl., vol. 80, no. 7, pp. 1839–1857, 2020. DOI: 10.1016/j.camwa.2020.08.015.
   Web of Science ®Google Scholar
• A. Alibeigloo, “Three-dimensional semi-analytical thermo-elasticity solution for a functionally graded solid and an annular circular plate,” J. Thermal Stress., vol. 35, no. 8, pp. 653–676, 2012. DOI: 10.1080/01495739.2012.688663.
   Web of Science ®Google Scholar
• P. Ayoubi and A. Alibeigloo, “Three-dimensional transient analysis of FGM cylindrical shell subjected to thermal and mechanical loading,” J. Thermal Stress., vol. 40, no. 9, pp. 1166–1183, 2017. DOI: 10.1080/01495739.2017.1327720.
   Web of Science ®Google Scholar
• A. Alibeigloo, “Coupled thermoelasticity analysis of FGM plate integrated with piezoelectric layers under thermal shock,” J. Thermal Stresses, vol. 42, no. 11, pp. 1357–1375, 2019. DOI: 10.1080/01495739.2019.1640653.
   Web of Science ®Google Scholar
• M. Sobhy and A. F. Radwan, “An axial magnetic field effect on frequency analysis of rotating sandwich cylindrical shells with FG graphene/AL face sheets and honeycomb core,” Int. J. Appl. Mech., vol. 14, no. 8, pp. 2250074, 2022. DOI: 10.1142/S1758825122500740.
   Web of Science ®Google Scholar
• M. N. M. Allam, A. F. Radwan and M. Sobhy, “Hygrothermal deformation of spinning FG graphene sandwich cylindrical shells having an auxetic core,” Eng. Struct., vol. 251, pp. 113433, 2022. DOI: 10.1016/j.engstruct.2021.113433.
   Web of Science ®Google Scholar
• F. Alsebai, F. H. H. Al Mukahal and M. Sobhy, “Semi-analytical solution for thermo-piezoelectric bending of FG porous plates reinforced with graphene platelets,” Mathematics, vol. 10, no. 21, pp. 4104, 2022. DOI: 10.3390/math10214104.
   Web of Science ®Google Scholar
• M. Sobhy and F. H. H. Al Mukahal, “Wave dispersion analysis of functionally graded GPLS-reinforced sandwich piezoelectromagnetic plates with a honeycomb core,” Mathematics, vol. 10, no. 17, pp. 3207, 2022. DOI: 10.3390/math10173207.
   Web of Science ®Google Scholar
• M. Sobhy and F. H. H. Al Mukahal, “Analysis of electromagnetic effects on vibration of functionally graded GPLS reinforced piezoelectromagnetic plates on an elastic substrate,” Crystals, vol. 12, no. 4, pp. 487, 2022. DOI: 10.3390/cryst1204087.
   Web of Science ®Google Scholar
• M. Sobhy, M., “Stability analysis of smart FG sandwich plates with auxetic core,” Int. J. Appl. Mech., vol. 13, no. 08, pp. 2150093, 2021. DOI: 10.1142/S1758825121500939.
   Google Scholar