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Buckling of a column made of functionally graded material

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Abstract

Buckling of a column made of functionally graded material is investigated. The functional grading is performed in the longitudinal direction. The following problem is addressed: determine the variation of the elastic modulus with the axial coordinate such that the buckling load exceeds the preselected value. In this study, only polynomial variation of the buckling mode is considered and only the case of cantilever column is treated.

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References

  1. Koizumi, M.: The Concept of FGM. In: Holt, J.B., Koizumi, M., Mirai, F., Munir, Z.A. (eds.) Functionally Gradient Materials, pp. 3–10. The American Ceramic Society, Westerville, OH (1993)

  2. Koizumi M.: FGM activities in Japan. Compos. Part B 28, 1–4 (1997)

    Article  Google Scholar 

  3. Jin Z.-H., Batra R.C.: Some basic fracture mechanics concepts in functionally graded materials. J. Mech. Phys. Solids 44, 1221–1235 (1996)

    Article  Google Scholar 

  4. Abid Mian M., Spencer A.J.M.: Exact solutions for functionally graded laminated elastic materials. J. Mech. Phys. Solids 46, 2283–2295 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Rooney F.T., Ferrari M.: Torsion and flexure of inhomogeneous elements. Compos. Eng. 5, 901–911 (1995)

    Article  Google Scholar 

  6. Horgan C.O., Chan A.M.: The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic material. J. Elast. 55, 43–59 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  7. Aboudi J., Pindera M.-J., Arnold S.M.: Higher-order theory for functionally graded materials. Compos. Part B 30, 777–832 (1999)

    Article  Google Scholar 

  8. Birman V.Z.: Stability of functionally graded shape memory alloy sandwich panels. Smart Mater. Struct. 6, 282–286 (1997)

    Article  Google Scholar 

  9. Yang J., Shen H-S.: Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels. J. Sound Vib. 261, 871–893 (2003)

    Article  Google Scholar 

  10. Reddy J.N.: Analysis of Functionally Graded Plates. Int. J. Numer. Methods Eng. 47, 663–684 (2000)

    Article  MATH  Google Scholar 

  11. Venkataraman, S., Sankar, B.V.: Elasticity analysis and optimization of a functionally graded plate with hole. Paper AIAA-2003-1466, 44th AIAA/ASME/ ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Norfolk, VA (7–11 April 2003)

  12. Elishakoff I.: Euler’s problem reconsidered—222 years later. Meccanica 35, 265–272 (2001)

    Article  MathSciNet  Google Scholar 

  13. Elishakoff I.: Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions. CRC Press, Boca Raton (2005)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431-0991, USA

    Isaac Elishakoff

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  1. Isaac Elishakoff
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Correspondence to Isaac Elishakoff.

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Elishakoff, I. Buckling of a column made of functionally graded material. Arch Appl Mech 82, 1355–1360 (2012). https://doi.org/10.1007/s00419-012-0662-0

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  • DOI: https://doi.org/10.1007/s00419-012-0662-0

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