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Size-dependent buckling analysis of piezoelectric nanobeams resting on elastic foundation considering flexoelectricity effect using the stress-driven nonlocal model

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Abstract

Presented herein is a size-dependent Bernoulli–Euler beam model for the buckling analysis of piezoelectric nanobeams under electrical loading with the consideration of flexoelectricity influence. In order to capture size effects, the stress-driven model of nonlocal theory is utilized. Moreover, it is considered that the nanobeams are embedded in an elastic medium. According to a variational approach, the governing equations including nonlocal and flexoelectricity effects are obtained. Also, using the generalized differential quadrature technique, a numerical solution approach is proposed for calculating buckling loads of piezoelectric nanobeams with different boundary conditions. The effects of flexoelectricity, nanoscale and elastic foundation on the buckling behavior of nanobeams are studied through presenting some numerical examples.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran

    R. Ansari, S. Nesarhosseini & M. Faraji Oskouie

  2. Department of Engineering Science, Faculty of Technology and Engineering, East of Guilan, University of Guilan, 44891-63157, Rudsar-Vajargah, Iran

    H. Rouhi

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  1. R. Ansari
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  2. S. Nesarhosseini
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  3. M. Faraji Oskouie
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  4. H. Rouhi
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Correspondence to R. Ansari.

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Ansari, R., Nesarhosseini, S., Faraji Oskouie, M. et al. Size-dependent buckling analysis of piezoelectric nanobeams resting on elastic foundation considering flexoelectricity effect using the stress-driven nonlocal model. Eur. Phys. J. Plus 136, 876 (2021). https://doi.org/10.1140/epjp/s13360-021-01837-7

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