Thermoelastic stresses alleviation for two-dimensional functionally graded cylinders under asymmetric loading

References

• P. H. Cong, et al., “Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy’s HSDT,” Aerosp. Sci. Technol., vol. 77, pp. 419–428, 2018. DOI: 10.1016/j.ast.2018.03.020.
   Web of Science ®Google Scholar
• D. Kouider, et al., “An original four-variable quasi-3D shear deformation theory for the static and free vibration analysis of new type of sandwich plates with both FG face sheets and FGM hard core,” Steel Compos. Struct., vol. 41, no. 2, pp. 167–191, 2021. DOI: 10.12989/scs.2021.41.2.167.
   Web of Science ®Google Scholar
• L. Guo, et al., “The interface crack problem for a functionally graded coating-substrate structure with general coating properties,” Int. J. Solids Struct., vol. 146, pp. 136–153, 2018. DOI: 10.1016/j.ijsolstr.2018.03.025.
   Web of Science ®Google Scholar
• S. Huang, et al., “The interface crack problem under steady heat flux for a functionally graded coating-substrate structure with general coating properties,” Theor. Appl. Fract. Mech., vol. 109, pp. 102675, 2020. DOI: 10.1016/j.tafmec.2020.102675.
   Web of Science ®Google Scholar
• M. Jabbari, M. Meshkini, and M. R. Eslami, “Mechanical and thermal stresses in FGPPM hollow cylinder due to radially symmetric loads,” J. Pressure Vessel Technol., vol. 138, no. 1, pp. 2938–2946, 2016. DOI: 10.1115/1.4031372.
   PubMed Web of Science ®Google Scholar
• M. Jabbari, M. Meshkini, and M. R. Eslami, “Nonaxisymmetric mechanical and thermal stresses in FGPPM hollow cylinder,” J. Pressure Vessel Technol., vol. 134, no. 6, pp. 1–25, 2012. DOI: 10.1115/1.4007034.
   Web of Science ®Google Scholar
• J. Jafari Fesharaki, et al., “Two-dimensional solution for electro-mechanical behavior of functionally graded piezoelectric hollow cylinder,” Appl. Math. Model., vol. 36, no. 11, pp. 5521–5533, 2012. DOI: 10.1016/j.apm.2012.01.019.
   Web of Science ®Google Scholar
• Y. V. Tokovyy and C.-C. Ma, “Analytical solutions to the planar non-axisymmetric elasticity and thermoelasticity problems for homogeneous and inhomogeneous annular domains,” Int. J. Eng. Sci., vol. 47, no. 3, pp. 413–437, 2009. DOI: 10.1016/j.ijengsci.2008.10.005.
   Web of Science ®Google Scholar
• R. C. Batra and G. J. Nie, “Analytical solutions for functionally graded incompressible eccentric and non-axisymmetrically loaded circular cylinders,” Compos. Struct., vol. 92, no. 5, pp. 1229–1245, 2010. DOI: 10.1016/j.compstruct.2009.10.022.
   Web of Science ®Google Scholar
• A. Loghman, M. Nasr, and M. Arefi, “Nonsymmetric thermomechanical analysis of a functionally graded cylinder subjected to mechanical, thermal, and magnetic loads,” J. Therm. Stresses, vol. 40, no. 6, pp. 765–782, 2017. DOI: 10.1080/01495739.2017.1280380.
   Web of Science ®Google Scholar
• A. M. Eldeeb, Y. M. Shabana, and A. Elsawaf, “Investigation of the thermoelastoplastic behaviors of multilayer FGM cylinders,” Compos. Struct., vol. 276, pp. 114523, 2021. DOI: 10.1016/j.compstruct.2021.114523.
   Web of Science ®Google Scholar
• M. Hosseini, M. Shishesaz, and A. Hadi, “Thermoelastic analysis of rotating functionally graded micro/nanodisks of variable thickness,” Thin-Walled Struct., vol. 134, pp. 508–523, 2019. DOI: 10.1016/j.tws.2018.10.030.
   Web of Science ®Google Scholar
• P. Nayak, S. Bhowmick, and K. N. Saha, “Elasto-plastic analysis of thermo-mechanically loaded functionally graded disks by an iterative variational method,” Eng. Sci. Technol. Int. J., vol. 23, no. 1, pp. 42–64, 2020. DOI: 10.1016/j.jestch.2019.04.007.
   Google Scholar
• A. M. Eldeeb, Y. M. Shabana, and A. Elsawaf, “Influences of angular deceleration on the thermoelastoplastic behaviors of nonuniform thickness multilayer FGM discs,” Compos. Struct., vol. 258, pp. 113092, 2021. DOI: 10.1016/j.compstruct.2020.113092.
   Web of Science ®Google Scholar
• A. M. Eldeeb, Y. M. Shabana, and A. Elsawaf, “Thermo-elastoplastic behavior of a rotating sandwich disc made of temperature-dependent functionally graded materials,” J. Sandwich Struct. Mater., vol. 23, no. 5, pp. 1761–1783, 2021. DOI: 10.1177/1099636220904970.
   Web of Science ®Google Scholar
• Y. M. Shabana and A. Elsawaf, “Nonlinear multi-variable optimization of layered composites with nontraditional interfaces,” Struct. Multidisc. Optim., vol. 52, no. 5, pp. 991–1000, 2015. DOI: 10.1007/s00158-015-1292-2.
   Web of Science ®Google Scholar
• Y. M. Shabana, et al., “Stresses minimization in functionally graded cylinders using particle swarm optimization technique,” Int. J. Pressure Vessels Piping, vol. 154, pp. 1–10, 2017. DOI: 10.1016/j.ijpvp.2017.05.013.
   Web of Science ®Google Scholar
• A. M. Eldeeb, Y. M. Shabana, and A. Elsawaf, “Particle swarm optimization for the thermoelastic behaviors of functionally graded rotating nonuniform thickness sandwich discs,” Arab. J. Sci. Eng., pp. 1–13, 2022. DOI: 10.1007/s13369-022-07351-x.
   Web of Science ®Google Scholar
• S. Zhou and Q. Li, “Microstructural design of connective base cells for functionally graded materials,” Mater. Lett., vol. 62, no. 24, pp. 4022–4024, 2008. DOI: 10.1016/j.matlet.2008.05.058.
   Web of Science ®Google Scholar
• Y. Su, et al., “Influence of composition gradient variation on the microstructure and mechanical properties of 316 L/Inconel718 functionally graded material fabricated by laser additive manufacturing,” J. Mater. Process. Technol., vol. 283, pp. 116702, 2020. DOI: 10.1016/j.jmatprotec.2020.116702.
   Web of Science ®Google Scholar
• Nemat-Alla, M. K. I. E. Ahmed, and I. Hassab-Allah, “Elastic–plastic analysis of two-dimensional functionally graded materials under thermal loading,” Int. J. Solids Struct., vol. 46, no. 14–15, pp. 2774–2786, 2009. DOI: 10.1016/j.ijsolstr.2009.03.008.
   Web of Science ®Google Scholar
• X.-Y. Miao, et al., “Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions,” J. Sandwich Struct. Mater., vol. 24, no. 2, pp. 973–1003, 2022. DOI: 10.1177/10996362211020429.
   Web of Science ®Google Scholar
• M. Nemat-Alla, “Reduction of thermal stresses by developing two-dimensional functionally graded materials,” Int. J. Solids Struct., vol. 40, no. 26, pp. 7339–7356, 2003. DOI: 10.1016/j.ijsolstr.2003.08.017.
   Web of Science ®Google Scholar
• N. T. Hong, “Nonlinear static bending and free vibration analysis of bidirectional functionally graded material plates,” Int. J. Aerosp. Eng., vol. 2020, pp. 1–16, 2020. DOI: 10.1155/2020/8831366.
   Web of Science ®Google Scholar
• M. Nemat-Alla, “Reduction of thermal stresses by composition optimization of two-dimensional functionally graded materials,” Acta Mech., vol. 208, no. 3–4, pp. 147–161, 2009. DOI: 10.1007/s00707-008-0136-1.
   Web of Science ®Google Scholar
• A. Najibi and M. H. Shojaeefard, “Elastic mechanical stress analysis in a 2D-FGM thick finite length hollow cylinder with newly developed material model,” Acta Mech. Solida Sin., vol. 29, no. 2, pp. 178–191, 2016. DOI: 10.1016/S0894-9166(16)30106-9.
   Web of Science ®Google Scholar
• A. Najibi, “Mechanical stress reduction in a pressurized 2D-FGM thick hollow cylinder with finite length,” Int. J. Pressure Vessels Piping, vol. 153, pp. 32–44, 2017. DOI: 10.1016/j.ijpvp.2017.05.007.
   Web of Science ®Google Scholar
• A. Najibi and R. Talebitooti, “Nonlinear transient thermo-elastic analysis of a 2D-FGM thick hollow finite length cylinder,” Compos. Part B: Eng., vol. 111, pp. 211–227, 2017. DOI: 10.1016/j.compositesb.2016.11.055.
   Web of Science ®Google Scholar
• Moussavinezhad, S. M. F. Shahabian, S and M. Hosseini, “Two-dimensional stress-wave propagation in finite-length FG cylinders with two-directional nonlinear grading patterns using the MLPG method,” J. Eng. Mech., vol. 140, no. 3, pp. 575–592, 2014. DOI: 10.1061/(ASCE)EM.1943-7889.0000678.
   Web of Science ®Google Scholar
• A. Salehi and I. Ahmadi, “Transient thermal and mechanical stress analysis of 2D-functionally graded finite cylinder: A truly meshless formulation,” Iran J. Sci. Technol. Trans. Mech. Eng., vol. 46, no. 3, pp. 573–598, 2022. DOI: 10.1007/s40997-021-00432-6.
   Web of Science ®Google Scholar
• M. Meshkini, et al., “Asymmetric mechanical and thermal stresses in 2D-FGPPMs hollow cylinder,” J. Therm. Stresses, vol. 40, no. 4, pp. 448–469, 2017. DOI: 10.1080/01495739.2016.1249987.
   Web of Science ®Google Scholar
• A. Najibi and G. Jing, “Two dimensional stress wave propagation analysis of infinite 2D-FGM hollow cylinder,” Waves Random Complex Media, pp. 1–18, 2021. DOI: 10.1080/17455030.2021.1987584.
   Web of Science ®Google Scholar
• M. Saadatfar and M. H. Zarandi, “Effect of angular acceleration on the mechanical behavior of an exponentially graded piezoelectric rotating annular plate with variable thickness,” Mech. Based Des. Struct. Mach., vol. 50, no. 4, pp. 1354–1370, 2022. DOI: 10.1080/15397734.2020.1751198.
   Web of Science ®Google Scholar
• V. Vullo and F. Vivio, Rotors: Stress Analysis and Design. New York: Springer Science & Business Media, 2013.
   Google Scholar
• J. N. Reddy and D. K. Gartling, The Finite Element Method in Heat Transfer and Fluid Dynamics. Boca Raton: CRC press, 2010.
   Google Scholar
• A. J. M. Ferreira and N. Fantuzzi, Plane Stress, in MATLAB Codes for Finite Element Analysis: Solids and Structures. Cham: Springer International Publishing, 2020, pp. 171–205.
   Google Scholar
• H. Li and Y. Liu, “Functionally graded hollow cylinders with arbitrary varying material properties under nonaxisymmetric loads,” Mech. Res. Commun., vol. 55, pp. 1–9, 2014. DOI: 10.1016/j.mechrescom.2013.10.011.
   Web of Science ®Google Scholar
• S. H. Kordkheili and R. Naghdabadi, “Thermoelastic analysis of a functionally graded rotating disk,” Compos. Struct., vol. 79, no. 4, pp. 508–516, 2007. DOI: 10.1016/j.compstruct.2006.02.010.
   Web of Science ®Google Scholar
• N. Tutuncu and B. Temel, “A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres,” Compos. Struct., vol. 91, no. 3, pp. 385–390, 2009. DOI: 10.1016/j.compstruct.2009.06.009.
   Web of Science ®Google Scholar
• A. Hassani, et al., “Semi-exact elastic solutions for thermo-mechanical analysis of functionally graded rotating disks,” Compos. Struct., vol. 93, no. 12, pp. 3239–3251, 2011. DOI: 10.1016/j.compstruct.2011.06.001.
   Web of Science ®Google Scholar
• A. Hassani, et al., “Semi-exact solution for thermo-mechanical analysis of functionally graded elastic-strain hardening rotating disks,” Commun. Nonlinear Sci. Numeric. Simul., vol. 17, no. 9, pp. 3747–3762, 2012. DOI: 10.1016/j.cnsns.2012.01.026.
   Web of Science ®Google Scholar
• M. Bayat, et al., “Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads,” Int. J. Pressure Vessels Piping, vol. 86, no. 6, pp. 357–372, 2009. DOI: 10.1016/j.ijpvp.2008.12.006.
   Web of Science ®Google Scholar
• R. M. Jones, Deformation Theory of Plasticity. Blacksburg: Bull Ridge Corporation, 2009.
   Google Scholar
• F. Vivio, V. Vullo and P. Cifani, “Theoretical Stress Analysis of Rotating Hyperbolic Disk without Singularities Subjected to Thermal Load,” J. Thermal Stresses, vol. 37, no. 2, pp. 117–136, 2014. DOI: 10.1080/01495739.2013.839526.
   Web of Science ®Google Scholar