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 -