Effect of flexoelectricity on the electromechanical response of graphene nanocomposite beam

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Effect of flexoelectricity on the electromechanical response of graphene nanocomposite beam S. I. Kundalwal . K. B. Shingare . Ankit Rathi

Received: 7 September 2018 / Accepted: 17 September 2018 Ó Springer Nature B.V. 2018

Abstract Owing to its unique multifunctional and scale-dependent physical properties, graphene is emerged as promising reinforcement to enhance the overall response of nanotailored composite materials. Most recently, the piezoelectricity phenomena in graphene sheets was found through interplay between different non-centrosymmetric pores, curvature and flexoelectricity phenomena. This has added new multifunctionality to existing graphene and it seems the use of piezoelectric graphene in composites has yet to be fully explored. In this article, the mechanics of materials and finite element models were developed to predict the effective piezoelectric and elastic (piezoelastic) properties of the graphene reinforced nanocomposite material (GRNC). An analytical model based on the linear piezoelectricity and Euler beam theories was also developed to investigate the electromechanical response of GRNC cantilever beam under both electrical and mechanical loads accounting the flexoelectric effect. Furthermore, molecular dynamics simulations were carried out to determine the elastic

properties of graphene which were used to develop the analytical and numerical models herein. The current results reveal that the flexoelectric effect on the elastic behavior of bending of nanocomposite beams is significant. The electromechanical behavior of GRNC cantilever beam can be tailored to achieve the desired response via a number of ways such as by varying the volume fraction of graphene layer and the application of electrical load. Our fundamental study highlights the possibility of developing lightweight and high performance piezoelectric graphene based nanoelectromechanical systems such as sensors, actuators, switches and smart electronics as compared with the existing heavy, brittle and toxic piezoelectric materials. Keywords Graphene  Flexoelectricity  Piezoelectricity  Nanocomposite  Micromechanics  Finite element

1 Introduction S. I. Kundalwal (&)  K. B. Shingare  A. Rathi Applied and Theoretical Mechanics (ATOM) Laboratory, Discipline of Mechanical Engineering, Indian Institute of Technology Indore, Indore 453552, India e-mail: [email protected] K. B. Shingare e-mail: [email protected] A. Rathi e-mail: [email protected]

Flexoelectricity phenomenon is the response of electric polarization to an applied strain gradient and is developed as a consequence of crystal symmetry in all materials. Recent advances in nanoscale technologies have renewed the interest in flexoelectricity due to the obvious existence of large strain gradients at the nanoscale level that leads to strong electromechanical

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coupling. The symmetry breaking at surfaces and interfaces in nonpolar materials allows new forms of electromechanical cou