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Post-buckling Analysis of FG Columns Based on Weak Finite Element Formulation

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Recent Advances in Computational and Experimental Mechanics, Vol—I

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The post-buckling analysis of a FG column subjected to a free-end axial compressive load where the axis is aligned along the Cartesian x has been carried out. The study has been performed for different free-end angles, and the findings are reported in detail. The material is graded in the radial direction which consists of different materials at inner and outer surface of the cross section. Owing to the solution complexity pertaining to the use Cartesian system, the θ, S plane polar coordinate system has been used to obtain the simple governing nonlinear differential equation. The Galerkin’s finite element formulation has been used to obtain the solution of the FG columns subjected to different loading conditions. For the purpose of analysis, the following loading conditions namely concentrated tip load, uniformly distributed load along the axis, and a uniformly varying load along the axis have been considered. The load parameters are presented for various end slopes, and the results are compared with published results.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Raipur, Raipur, Chhattisgarh, India

    N. V. Swamy Naidu & R. Suresh Kumar

Authors
  1. N. V. Swamy Naidu
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  2. R. Suresh Kumar
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Corresponding author

Correspondence to R. Suresh Kumar .

Editor information

Editors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    D. Maity

  2. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    P. K. Patra

  3. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    M.S. Afzal

  4. Ocean Engineering and Naval Architecture, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    R. Ghoshal

  5. Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    C. S. Mistry

  6. Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    P. Jana

  7. Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    D. K. Maiti

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Swamy Naidu, N.V., Suresh Kumar, R. (2022). Post-buckling Analysis of FG Columns Based on Weak Finite Element Formulation. In: Maity, D., et al. Recent Advances in Computational and Experimental Mechanics, Vol—I. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-6738-1_34

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  • DOI: https://doi.org/10.1007/978-981-16-6738-1_34

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-6737-4

  • Online ISBN: 978-981-16-6738-1

  • eBook Packages: EngineeringEngineering (R0)

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