Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 122 |
| Early online date | 21 Oct 2020 |
| Publication status | Published - Jan 2021 |
Abstract
Flexoelectricity is an electromechanical coupling occurring in dielectric materials that has recently attracted significant attention. The flexoelectric effect is described by a coupled, higher-order electromechanical set of equations that have typically been solved using a computationally expensive monolithic formulation. In the present work, we propose a staggered, explicit-implicit formulation that both significantly reduces the computational expense, while enabling the capturing of electromechanical instabilities through the usage of inertia. The higher order equations are discretized using an isogeometric formulation, and we demonstrate via two numerical examples the combination of increased computational efficiency with comparable accuracy that is gained from the proposed formulation as compared to the standard monolithic approaches.
Keywords
- Flexoelectricity, Higher-order continuity, Large deformation, Soft dielectric, Staggered scheme
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. 122, 01.2021, p. 1-12.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity
AU - Thai, Tran Quoc
AU - Zhuang, Xiaoying
AU - Park, Harold S.
AU - Rabczuk, Timon
N1 - Funding Information: The authors Tran Quoc Thai and Xiaoying Zhuang would like to acknowledge the financial support from NSFC (11772234) and the Sofja Kovalevskaja Prize of the Alexander von Humboldt Foundation (Germany).
PY - 2021/1
Y1 - 2021/1
N2 - Flexoelectricity is an electromechanical coupling occurring in dielectric materials that has recently attracted significant attention. The flexoelectric effect is described by a coupled, higher-order electromechanical set of equations that have typically been solved using a computationally expensive monolithic formulation. In the present work, we propose a staggered, explicit-implicit formulation that both significantly reduces the computational expense, while enabling the capturing of electromechanical instabilities through the usage of inertia. The higher order equations are discretized using an isogeometric formulation, and we demonstrate via two numerical examples the combination of increased computational efficiency with comparable accuracy that is gained from the proposed formulation as compared to the standard monolithic approaches.
AB - Flexoelectricity is an electromechanical coupling occurring in dielectric materials that has recently attracted significant attention. The flexoelectric effect is described by a coupled, higher-order electromechanical set of equations that have typically been solved using a computationally expensive monolithic formulation. In the present work, we propose a staggered, explicit-implicit formulation that both significantly reduces the computational expense, while enabling the capturing of electromechanical instabilities through the usage of inertia. The higher order equations are discretized using an isogeometric formulation, and we demonstrate via two numerical examples the combination of increased computational efficiency with comparable accuracy that is gained from the proposed formulation as compared to the standard monolithic approaches.
KW - Flexoelectricity
KW - Higher-order continuity
KW - Large deformation
KW - Soft dielectric
KW - Staggered scheme
UR - http://www.scopus.com/inward/record.url?scp=85093119285&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2020.10.004
DO - 10.1016/j.enganabound.2020.10.004
M3 - Article
AN - SCOPUS:85093119285
VL - 122
SP - 1
EP - 12
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -