Details
| Original language | English |
|---|---|
| Pages (from-to) | 1157-1179 |
| Number of pages | 23 |
| Journal | Computers, Materials and Continua |
| Volume | 65 |
| Issue number | 2 |
| Publication status | Published - 20 Aug 2020 |
| Externally published | Yes |
Abstract
Flexoelectricity is a general electromechanical phenomenon where the electric polarization exhibits a linear dependency to the gradient of mechanical strain and vice versa. The truncated pyramid compression test is among the most common setups to estimate the flexoelectric effect. We present a three-dimensional isogeometric formulation of flexoelectricity with its MATLAB implementation for a truncated pyramid setup. Besides educational purposes, this paper presents a precise computational model to illustrate how the localization of strain gradients around pyramidal boundary shapes contributes in generation of electrical energy. The MATLAB code is supposed to help learners in the Isogeometric Analysis and Finite Elements Methods community to learn how to solve a fully coupled problem, which requires higher order approximations, numerically. The complete MATLAB code which is available as source code distributed under a BSD-style license, is provided in the part of Supplementary Materials of the paper.
Keywords
- B-spline elements, Coupled electromechanical problem, Finite elements, Flexoelectricity, Isogeometric Analysis (IGA), MATLAB
ASJC Scopus subject areas
- Materials Science(all)
- Biomaterials
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanics of Materials
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
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In: Computers, Materials and Continua, Vol. 65, No. 2, 20.08.2020, p. 1157-1179.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Three-dimensional isogeometric analysis of flexoelectricity with MATLAB implementation
AU - Ghasemi, Hamid
AU - Park, Harold S.
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding Information: Acknowledgment: Hamid Ghasemi acknowledge the support of the Mechanical Engineering department at Arak University of Technology. Xiaoying Zhuang gratefully acknowledge the financial support by European Research Council for COTOFLEXI project (802205). Harold Park acknowledges the support of the Mechanical Engineering department at Boston University. Timon Rabczuk gratefully acknowledge financial support by the 2019 Foreign Experts Plan of Hebei Province.
PY - 2020/8/20
Y1 - 2020/8/20
N2 - Flexoelectricity is a general electromechanical phenomenon where the electric polarization exhibits a linear dependency to the gradient of mechanical strain and vice versa. The truncated pyramid compression test is among the most common setups to estimate the flexoelectric effect. We present a three-dimensional isogeometric formulation of flexoelectricity with its MATLAB implementation for a truncated pyramid setup. Besides educational purposes, this paper presents a precise computational model to illustrate how the localization of strain gradients around pyramidal boundary shapes contributes in generation of electrical energy. The MATLAB code is supposed to help learners in the Isogeometric Analysis and Finite Elements Methods community to learn how to solve a fully coupled problem, which requires higher order approximations, numerically. The complete MATLAB code which is available as source code distributed under a BSD-style license, is provided in the part of Supplementary Materials of the paper.
AB - Flexoelectricity is a general electromechanical phenomenon where the electric polarization exhibits a linear dependency to the gradient of mechanical strain and vice versa. The truncated pyramid compression test is among the most common setups to estimate the flexoelectric effect. We present a three-dimensional isogeometric formulation of flexoelectricity with its MATLAB implementation for a truncated pyramid setup. Besides educational purposes, this paper presents a precise computational model to illustrate how the localization of strain gradients around pyramidal boundary shapes contributes in generation of electrical energy. The MATLAB code is supposed to help learners in the Isogeometric Analysis and Finite Elements Methods community to learn how to solve a fully coupled problem, which requires higher order approximations, numerically. The complete MATLAB code which is available as source code distributed under a BSD-style license, is provided in the part of Supplementary Materials of the paper.
KW - B-spline elements
KW - Coupled electromechanical problem
KW - Finite elements
KW - Flexoelectricity
KW - Isogeometric Analysis (IGA)
KW - MATLAB
UR - http://www.scopus.com/inward/record.url?scp=85090947321&partnerID=8YFLogxK
U2 - 10.32604/cmc.2020.08358
DO - 10.32604/cmc.2020.08358
M3 - Article
AN - SCOPUS:85090947321
VL - 65
SP - 1157
EP - 1179
JO - Computers, Materials and Continua
JF - Computers, Materials and Continua
SN - 1546-2218
IS - 2
ER -