Details
| Original language | English |
|---|---|
| Pages (from-to) | 153-165 |
| Number of pages | 13 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 120 |
| Early online date | 17 Sept 2020 |
| Publication status | Published - Nov 2020 |
Abstract
Keywords
- physics.comp-ph, cs.CE, cs.NA, cs.SY, eess.SY, math.NA, Meshfree method, Nonlinear flexoelectricity, Geometric nonlinearity, Surface effects
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Engineering Analysis with Boundary Elements, Vol. 120, 11.2020, p. 153-165.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A meshfree formulation for large deformation analysis of flexoelectric structures accounting for the surface effects
AU - Zhuang, Xiaoying
AU - Nanthakumar, Srivilliputtur Subbiah
AU - Rabczuk, Timon
N1 - Publisher Copyright: © 2020
PY - 2020/11
Y1 - 2020/11
N2 - In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surface effects. Flexoelectricity is the polarization of dielectric materials due to the gradient of strain, which is different from piezoelectricity in which polarization is dependent linearly on strain. The surface effects gain prominence as the size of the structure tends to nanoscale and so their consideration is inevitable when flexoelectric nanostructures are analysed. First, the proposed meshfree formulation is validated and the influence of nonlinear strain terms on the energy conversion ability of flexoelectric beams made of a non-piezoelectric material like cubic Strontium Titanate is studied. Subsequently, the meshfree formulation for nonlinear flexoelectricity is extended to include nonlinear surface effects. It is determined that the surface effects can have notable influence on the output flexoelectric voltage of nano-sized cantilever structures in the nonlinear regime.
AB - In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surface effects. Flexoelectricity is the polarization of dielectric materials due to the gradient of strain, which is different from piezoelectricity in which polarization is dependent linearly on strain. The surface effects gain prominence as the size of the structure tends to nanoscale and so their consideration is inevitable when flexoelectric nanostructures are analysed. First, the proposed meshfree formulation is validated and the influence of nonlinear strain terms on the energy conversion ability of flexoelectric beams made of a non-piezoelectric material like cubic Strontium Titanate is studied. Subsequently, the meshfree formulation for nonlinear flexoelectricity is extended to include nonlinear surface effects. It is determined that the surface effects can have notable influence on the output flexoelectric voltage of nano-sized cantilever structures in the nonlinear regime.
KW - physics.comp-ph
KW - cs.CE
KW - cs.NA
KW - cs.SY
KW - eess.SY
KW - math.NA
KW - Meshfree method
KW - Nonlinear flexoelectricity
KW - Geometric nonlinearity
KW - Surface effects
UR - http://www.scopus.com/inward/record.url?scp=85089950954&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2020.07.021
DO - 10.1016/j.enganabound.2020.07.021
M3 - Article
VL - 120
SP - 153
EP - 165
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -