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Functionally Graded Porous Conical Nanoshell Buckling during Axial Compression Using MCST and FSDT Theories by DQ Method

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Abstract

Buckling analysis of functionally graded porous nano conical shell subjected to axial compression is studied in this paper. The porous material properties vary across the thickness by a special function. First order shear deformation theory and modified couple stress theory are used to obtain the governing equation. Shells` nonlinear equilibrium and linear stability equations are obtained by Euler’s relations and Treftz principles. To solve the stability equations, the differential quadrature method (DQM) is used. The accuracy and the reliability of this paper are compared with reported studies. Finally, the effect of shell’s porous parameters, boundary condition, vertex angle and length scale on the amount of critical buckling force is discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran

    M. Gheisari, A. Nezamabadi, M.M. Najafzadeh, S. Jafari & P. Yousefi

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  1. M. Gheisari
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  2. A. Nezamabadi
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  3. M.M. Najafzadeh
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  4. S. Jafari
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  5. P. Yousefi
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Correspondence to A. Nezamabadi.

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Gheisari, M., Nezamabadi, A., Najafzadeh, M. et al. Functionally Graded Porous Conical Nanoshell Buckling during Axial Compression Using MCST and FSDT Theories by DQ Method. Exp Tech 47, 313–326 (2023). https://doi.org/10.1007/s40799-021-00541-6

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  • DOI: https://doi.org/10.1007/s40799-021-00541-6

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