Smart Structures and Systems

  • 제15권6호
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  • Pages.1503-1520
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  • 2015
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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A novel solution for thick-walled cylinders made of functionally graded materials

  • Chen, Y.Z. (Division of Engineering Mechanics, Jiangsu University)
  • 투고 : 2013.09.05
  • 심사 : 2014.04.10
  • 발행 : 2015.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper provides a novel solution for thick-walled cylinders made of functionally graded materials (FGMs). In the formulation, the cylinder is divided into N layers. On the individual layer, the Young's modulus is assumed to be a constant. For an individual layer, two undetermined constants are involved in the elastic solution. Those undetermined coefficients can be evaluated from the continuation condition along interfaces of layers and the boundary conditions at the inner surface and outer surface of cylinder. Finally, the solution for thick-walled cylinders made of functionally graded materials is obtainable. This paper provides several numerical examples which are useful for engineer to design a cylinder made of FGMs.

키워드

참고문헌

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  8. Sburlati, R. (2012), "Analytical elastic solutions for pressurized hollow cylinders with internal functionally graded coatings", Comput. Struct., 94(12), 3592-3600. https://doi.org/10.1016/j.compstruct.2012.05.018
  9. Shi, Z.F., Zhang, T.T. and Xiang, H.J. (2007), "Exact solutions of heterogeneous elastic hollow cylinders", Comput. Struct., 79, 140-147. https://doi.org/10.1016/j.compstruct.2005.11.058
  10. Theotokoglou, E.E. and Stampouloglou, I.H. (2008), "The radially nonhomogeneous elastic axisymmentric problem", Int. J. Solids Struct., 45, 6535-6552. https://doi.org/10.1016/j.ijsolstr.2008.08.011
  11. Timoshenko, S.P. and Goodier, J.N. (1970), Theory of Elasticity, McGraw-Hill Book Company, New York.
  12. Tutuncu, N. (2007), "Stresses in thick-walled FGM cylinders with exponentially-varying properties", Eng. Struct., 29(9), 2032-2035. https://doi.org/10.1016/j.engstruct.2006.12.003
  13. Zhang, X.Z. and Hasebe, N. (1996), "Elasticity solution for a radically nonhomogeneous hollow circular cylinder", J. Appl. Mech. - ASME, 66(3), 599-606.

피인용 문헌

  1. The radially nonhomogeneous thermoelastic axisymmetric problem vol.120, 2017, https://doi.org/10.1016/j.ijmecsci.2016.11.010
  2. Tuning stress concentrations through embedded functionally graded shells vol.13, pp.3, 2018, https://doi.org/10.2140/jomms.2018.13.311
  3. Numerical solution for multiple confocal elliptic dissimilar cylinders vol.19, pp.2, 2017, https://doi.org/10.12989/sss.2017.19.2.203
  4. A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates vol.13, pp.3, 2015, https://doi.org/10.12989/gae.2017.13.3.385
  5. Transfer matrix method for solution of FGMs thick-walled cylinder with arbitrary inhomogeneous elastic response vol.21, pp.4, 2018, https://doi.org/10.12989/sss.2018.21.4.469