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Finite element modeling and analysis of piezoelectric nanoporous metal foam nanobeam under hygro and nonlinear thermal field

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Abstract

The present article studies the finite element modeling of wave propagation characteristics in a nonlinear thermal piezoelectric hygroscopic nanoporous metal foam nanobeam. The symmetry 1, symmetry 2, and uniform type of nanoporosity patterns are employed in this study. The controlling equation of motion is derived via a modified trigonometric beam model in higher order. The effect of a piezo electric field is incorporated with the governing equations by convoluting field quantities and displacement components. The Rayleigh–Ritz finite element method is adopted to observe the dynamic response of the nanobeam. Comparison studies are performed to display the accuracy and efficiency of this analytical model. Further, the effects of piezoelectric strain, porosity coefficient, moisture concentration, slenderness ratio, and thickness to diameter ratio on the critical buckling load of metal foam nanobeams are thoroughly investigated and highlighted by Tables and dispersion curves.

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Authors and Affiliations

  1. Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, 641114, India

    Rajendran Selvamani & John Britto Rexy

  2. Department of Mechanical Engineering, Imam Khomieni International University, Qazvin, Iran

    Farzad Ebrahimi

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  1. Rajendran Selvamani
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Correspondence to Rajendran Selvamani.

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Selvamani, R., Rexy, J.B. & Ebrahimi, F. Finite element modeling and analysis of piezoelectric nanoporous metal foam nanobeam under hygro and nonlinear thermal field. Acta Mech 233, 3113–3132 (2022). https://doi.org/10.1007/s00707-022-03263-x

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