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Postbuckling analysis of FG-GPLs-reinforced double-layered microbeams system integrated with an elastic foundation exposed to thermal load

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Abstract

Mechanical and thermal postbuckling analyses of double-layered microbeams reinforced with graphene nanoplatelets (GPLs) are investigated, for the first time, based on a new refined shear deformation beam theory. The twin microbeams are bounded by a set of independent linear elastic springs and exposed to axial compressive load as well as nonlinear thermal load. The small-scale effect is considered by using the modified couple-stress theory that contains only one material length scale parameter. Each microbeam in the present system is composed of a polymer reinforced with the GPLs that graded according to a sinusoidal law. A variational approach according to principal of virtual work is utilized to establish the nonlinear stability equations. Galerkin’s procedure is employed to solve the stability equations to obtain postbuckling curves. Effects of the length scale parameter and other parameters on the Postbuckled equilibrium paths are investigated in details. The numerical results show that considering the small size effect enhance the beam strength leading to an increment in postbuckling load and postbuckling temperature.

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Data Availability Statement

The authors declare that all data supporting the findings of this study are available within the article.

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  1. Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa, 31982, Saudi Arabia

    Mohammed Sobhy

  2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt

    Mohammed Sobhy

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Sobhy, M. Postbuckling analysis of FG-GPLs-reinforced double-layered microbeams system integrated with an elastic foundation exposed to thermal load. Eur. Phys. J. Plus 137, 923 (2022). https://doi.org/10.1140/epjp/s13360-022-03137-0

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