A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Tran Quoc Thai
  • Xiaoying Zhuang
  • Harold S. Park
  • Timon Rabczuk

Research Organisations

External Research Organisations

  • Boston University (BU)
  • Ton Duc Thang University
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Details

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalEngineering Analysis with Boundary Elements
Volume122
Early online date21 Oct 2020
Publication statusPublished - 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

Cite this

A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity. / Thai, Tran Quoc; Zhuang, Xiaoying; Park, Harold S. et al.
In: Engineering Analysis with Boundary Elements, Vol. 122, 01.2021, p. 1-12.

Research output: Contribution to journalArticleResearchpeer review

Thai TQ, Zhuang X, Park HS, Rabczuk T. A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity. Engineering Analysis with Boundary Elements. 2021 Jan;122:1-12. Epub 2020 Oct 21. doi: 10.1016/j.enganabound.2020.10.004
Thai, Tran Quoc ; Zhuang, Xiaoying ; Park, Harold S. et al. / A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity. In: Engineering Analysis with Boundary Elements. 2021 ; Vol. 122. pp. 1-12.
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