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Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading

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Abstract

In this paper a thick hollow cylinder with finite length made of two-dimensional functionally graded material (2D-FGM) and subjected to impact internal pressure is considered. The axisymmetric conditions are assumed for the 2D-FG cylinder. The finite element method with graded material properties within each element is used to model the structure, and the Newmark direct integration method is implemented to solve the time dependent equations. The time histories of displacements, stresses and 2D wave propagation are investigated for various values of volume fraction exponents. Also the effects of mechanical properties distribution in radial and axial direction on the time responses of the FG cylinder as well as the stress distribution are studied and compared with a cylinder made of 1D-FGM. The achieved results show that using 2D-FGM leads to a more flexible design. To verify the presented method and data, the results are compared to published data.

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References

  1. Koizumi M.: The concept of FGM. Ceram. Trans. Funct. Graded Mater. 34, 3–10 (1993)

    Google Scholar 

  2. Liu G.R., Han X., Lam K.Y. : Stress waves in functionally gradient materials and its use for material characterization. Compos. Part B Eng. 30, 383–394 (1999)

    Article  Google Scholar 

  3. Chiu T.C., Erdogan F.: One-dimensional wave propagation in a functionally graded elastic medium. J. Sound Vib. 222, 453–487 (1999)

    Article  Google Scholar 

  4. Bruck H.A.: A one-dimensional model for designing functionally graded materials to manage stress waves. Int. J. Solids Struct. 37, 6383–6395 (2000)

    Article  MATH  Google Scholar 

  5. Li Y., Ramesh K.T., Chin E.S.C.: Dynamic characterization of layered and graded structures under impulsive loading. Int. J. Solids Struct. 38, 6045–6061 (2001)

    Article  MATH  Google Scholar 

  6. Han X., Liu G.R., Lam K.Y.: Transient waves in plates of functionally graded materials. Int. J. Numer. Methods Eng. 52, 851–865 (2001)

    Article  MATH  Google Scholar 

  7. Berezovski A., Engelbrecht J., Maugin G.A.: Numerical simulation of two-dimensional wave propagation in functionally graded materials. Eur. J. Mech. A Solids 22, 257–265 (2001)

    Article  MathSciNet  Google Scholar 

  8. Batra R.C., Ching H.K.: Analysis of elastodynamic deformations near a crack-notch tip by the meshless local Petrov–Galerkin (MLPG) method. Comput. Model. Eng. Sci. 3, 717–730 (2002)

    MATH  Google Scholar 

  9. Zhang G.M., Batra R.C.: Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method. J. Comput. Phys. 222, 374–390 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  10. Shakeri M., Akhlaghi M., Hoseini S.M.: Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder. Compos. Struct. 76, 174–181 (2006)

    Article  Google Scholar 

  11. Hosseini M., Akhlaghi M., Shakeri M.: Dynamic response and radial wave propagations of functionally graded thick hollow cylinder. Eng. Comput. 24, 288–303 (2007)

    Article  Google Scholar 

  12. Nemat-Alla M.: Reduction of thermal stresses by developing twodimensional functionally graded materials. Int. J. Solids Struct. 40, 7339–7356 (2003)

    Article  MATH  Google Scholar 

  13. Dhaliwal R.S., Singh B.M.: On the theory of elasticity of a non-homogeneous medium. J. Elast. 8, 211–219 (1978)

    Article  MATH  Google Scholar 

  14. Clements D.L., Budhi W.S.: A boundary element method for the solution of a class of steady-state problems for anisotropic media. Heat Transf. 121, 462–465 (1999)

    Article  Google Scholar 

  15. Abudi J., Pindera M.J.: Thermoelastic theory for the response of materials functionally graded in two directions. Int. J. Solids Struct. 33, 931–966 (1996)

    Article  Google Scholar 

  16. Cho J.R., Ha D.Y.: Optimal tailoring of 2D volume-fraction distributions for heat-resisting functionally graded materials using FDM. Comput. Methods Appl. Mech. Eng. 191, 3195–3211 (2002)

    Article  MATH  Google Scholar 

  17. Hedia H.S., Midany T.T., Shabara M.A.N., Fouda N.: Development of cementless metal-backed acetabular cup prosthesis using functionally graded material. Int. J. Mech. Mater. Des. 2, 259–267 (2005)

    Google Scholar 

  18. Santare M.H., Thamburaj P., Gazonas A.: The use of graded finite elements in the study of elastic wave propagation in continuously non-homogeneous materials. Int. J. Solids Struct. 40, 5621–5634 (2003)

    Article  MATH  Google Scholar 

  19. Banks Sills L., Eliasi R., Berlin Y.: Modeling of functionally graded materials in dynamic analyses. Compos. Part B. Eng. 33, 7–15 (2002)

    Article  Google Scholar 

  20. Scheidler, M.J., Gazonas, G.A.: Analytical and computational study of one-dimensional impact of graded elastic solids. In: Furnish, M.D. et al. (eds.) Shock Compression of Condensed Materials, pp. 689–692 (AIP CP620), Melville, NY, 2001. American Institute of Physics, Woodbury (2002)

  21. Santare M.H., Lambros J.: Use of a graded finite element to model the behavior of nonhomogeneous materials. J. Appl. Mech. 67, 819–822 (2000)

    Article  MATH  Google Scholar 

  22. Kim J.H., Paulino G.H.: Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. J. Appl. Mech. 69, 502–514 (2002)

    Article  MATH  Google Scholar 

  23. Zienkiewicz O.C., Taylor R.L.: The Finite Element Method, VII: Solid Mechanics, 5th edn. Butterworth-Heinemann, Oxford (2000)

    Google Scholar 

  24. Shao Z.S.: Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length. Int. J. Press. Vess. Pip. 82, 155–163 (2005)

    Article  Google Scholar 

  25. Goupee A.J., Vel S.S.: Two-dimensional optimization of material composition of functionally graded materials using meshless analyses and a genetic algorithm. Comput. Methods Appl. Mech. Eng. 195, 5926–5948 (2006)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mechanical Engineering Department, Amirkabir University of Technology, P.O. Box 15875-4413, Hafez Avenue, Tehran, Iran

    Masoud Asgari & Mehdi Akhlaghi

  2. Mechanical Engineering Department, Khorasan Research, Institute of Sciences and Food Technology, P.O. Box 91735-139, Mashhad, Iran

    Seyed Mahmoud Hosseini

Authors
  1. Masoud Asgari
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  2. Mehdi Akhlaghi
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  3. Seyed Mahmoud Hosseini
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Correspondence to Mehdi Akhlaghi.

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Asgari, M., Akhlaghi, M. & Hosseini, S.M. Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading. Acta Mech 208, 163–180 (2009). https://doi.org/10.1007/s00707-008-0133-4

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  • DOI: https://doi.org/10.1007/s00707-008-0133-4

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