Influence of nonlocal elasticity tensor and flexoelectricity in a rod: An asymptotic homogenization approach

David Guinovart-Sanjuán, Ram Mohapatra, Reinaldo Rodríguez-Ramos, Yoanh Espinosa-Almeyda, Panters Rodríguez-Bermúdez

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Abstract

This paper presents a methodology based on the asymptotic homogenization method (AHM) to model flexoelectric composites with nonlocal elasticity. The nonlocal elasticity tensor accounts for the long-range interactions between the strain gradient and the electric field, which affect the effective flexoelectric coefficients and the composite's overall response. The local problems, the general expression of the higher-order contributions in the asymptotic expansion, and the homogenized formulation of the equilibrium problem for a one-dimensional flexoelectric composite material are derived, and details of the AHM are given. Closed formulas for the effective flexoelectric coefficients with higher-order contributions of the asymptotic expansions are found, which is a novel contribution to the field. Finally, numerical examples are reported and discussed. Herein, the influence of different material constituents on the effective properties of various one-dimensional periodic composite materials is studied. The solutions to the homogenized problem for different material configurations are given.

Original languageEnglish (US)
Article number103960
JournalInternational Journal of Engineering Science
Volume193
DOIs
StatePublished - Dec 1 2023

Bibliographical note

Publisher Copyright:
© 2023

Keywords

  • Asymptotic homogenization method
  • Effective properties
  • Flexoelectricity
  • Nonlocal effects
  • One-dimensional flexoelectric composites

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