Nanoscale anti-plane cracking of materials with consideration of bulk and surface piezoelectricity effects

Nan, Haishun; Wang, Baolin

doi:10.1007/s00707-016-1563-z

Cited by 7 publications

(3 citation statements)

References 25 publications

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“…Yan and Jiang 32 have adopted the Euler-Bernoulli (EB) model for static bending analysis of the piezoelectric cantilever beam by taking the residual surface effects into account, but they have not considered the effect of flexoelectricity. Pan et al 33 and Nan and Wang 34 introduced the characteristic length to specify the surface constant over the bulk material properties. From the study of extensive literature related to classical continuum mechanics, it is observed that these theories are not able to consider the small-scale effect of nano-scaled structures due to the absence of different scale parameters.…”

Section: Introductionmentioning

confidence: 99%

Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod

Shingare

Naskar

2022

The Journal of Strain Analysis for Engineering Design

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Nanoscale beams and rods are extensively used in several nano-electro-mechanical systems (NEMS) and their applications such as sensors and actuators. The surface and flexoelectricity phenomena have an extensive effect on nanosized structures and are related to their scale-dependent characteristics. This article presents the effect of different surface parameters and flexoelectricity on the electrostatic response of graphene-reinforced hybrid composite (GRHC) nanorods (NRs) using the theory of linear piezoelectricity, Euler-Bernoulli (EB), and Galerkin residual method. Based on these theories, the theoretical and finite element (FE) model is produced to investigate the static bending deflection of GRHC NRs when subjected to point and uniformly distributed load (UDL) considering different boundary conditions: cantilever (FC), fixed-fixed (FF), and simply supported (SS). This proposed FE model provides a useful tool for analyzing and investigating the outcomes of analytical models, which are found to be in good agreement. Our results presented in this article reveal that the effect of surface and flexoelectricity on the static bending response of GRHC NRs is noteworthy. These effects diminish with increased thickness/diameter of NR, and hence, these effects can be neglected for large-sized structures. The results presented here would help to identify the desired electrostatic response of GRHC NRs in terms of static bending response for a range of NEMS using different loading and boundary conditions as well as graphene volume fraction. This current study offers pathways for developing new proficient novel GRHC materials with enhanced control authority and present models can be exploited for numerous other materials as well as line-type structural systems such as beams, wires, rods, column/piers, and piles to study their global response.

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Section: Introductionmentioning

confidence: 99%

Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod

Shingare

Naskar

2022

The Journal of Strain Analysis for Engineering Design

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“…studied the influence of surface/interface effects on the field intensity factors of a crack in piezoelectric materials by means of conformal mapping function. Nan and Wang studied the fracture behavior of an anti‐plane crack in the piezoelectric materials with surface effects by applying the singular integral method. Kim et al .…”

Section: Introductionmentioning

confidence: 99%

“…[4][5][6] Based on the Gurtin-Murdoch surface/surface model, Xiao et al [7,8] studied the influence of surface/interface effects on the field intensity factors of a crack in piezoelectric materials by means of conformal mapping function. Nan and Wang [9] studied the fracture behavior of an anti-plane crack in the piezoelectric materials with surface effects by applying the singular integral method. Kim et al [10][11][12] studied the crack problems of a linearly elastic solid at the nanoscale with surface effect by using the complex function method.…”

Section: Introductionmentioning

confidence: 99%

Surface effect on a nano‐elliptical hole or nano‐crack in magnetoelectroelastic materials under antiplane shear

2019

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Based on the Gurtin‐Murdoch surface/interface model, an antiplane shear problem of a magnetically and electrically impermeable nano‐elliptical hole in magnetoelectroelastic (MEE) materials with surface effect is presented subjected to far‐field anti‐plane mechanical and in‐plane electrical and magnetic loadings. By using the complex function method and conformal mapping technique, exact closed‐form solutions of the stress, electric displacement and magnetic induction intensity factors near the crack tip are obtained when the nano‐elliptical hole is reduced to a nano‐crack. Numerical examples are provided to show the effects of size of nano‐crack on the field intensity factors near the crack tip induced by mechanical, electrical and magnetic loadings for the piezoelectric (PE), piezomagnetic (PM) and MEE materials with surface effect. The interaction between the stress field, electric field and magnetic field around the nano‐hole is analyzed. The results show that the obtained solution is close to the classical elasticity solution with increasing size of the nano‐crack.

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Anti-plane problem of nanocrack with surface piezoelectricity—a finite-form solution

Xiao

Xi³

et al. 2021

Arch Appl Mech

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Nanoscale anti-plane cracking of materials with consideration of bulk and surface piezoelectricity effects

Cited by 7 publications

References 25 publications

Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod

Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod

Surface effect on a nano‐elliptical hole or nano‐crack in magnetoelectroelastic materials under antiplane shear

Anti-plane problem of nanocrack with surface piezoelectricity—a finite-form solution

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