4.6 Article

A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity

Journal

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 122, Issue -, Pages 1-12

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2020.10.004

Keywords

Flexoelectricity; Higher-order continuity; Large deformation; Staggered scheme; Soft dielectric

Funding

  1. NSFC [11772234]
  2. Sofja Kovalevskaja Prize of the Alexander von Humboldt Foundation (Germany)

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In this study, a new formulation is proposed to significantly reduce computational costs and capture electromechanical instabilities using inertia. The higher order equations are discretized using an isogeometric formulation, demonstrating increased computational efficiency with comparable accuracy compared to standard approaches.
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.

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