Weak enforcement of interface continuity and generalized periodicity in high-order electromechanical problems
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Cita com:
hdl:2117/363222
Tipus de documentArticle
Data publicació2022-02-28
EditorJohn Wiley & sons
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
ProjecteFLEXOCOMP - Enabling flexoelectric engineering through modeling and computation (EC-H2020-679451)
MODELIZACION Y COMPUTACION PARA UNA NUEVA GENERACION DE CELULAS FLEXO-FOTOVOLTAICAS (AEI-RTI2018-101662-B-I00)
MODELIZACION Y COMPUTACION PARA UNA NUEVA GENERACION DE CELULAS FLEXO-FOTOVOLTAICAS (AEI-RTI2018-101662-B-I00)
Abstract
We present a formulation for the weak enforcement of continuity conditions atmaterialinterfacesinhigh-orderproblemsbymeansofNitsche’smethod,whichis particularly suited for unfitted discretizations. This formulation is extendedto impose generalized periodicity conditions at the unit cell boundaries of peri-odic structures. The formulation is derived for flexoelectricity, a high-orderelectromechanical coupling between strain gradient and electric field, mathe-matically modeled as a coupled system of fourth-order PDEs. The design of flex-oelectricdevicesrequiresthesolutionofhigh-orderboundaryvalueproblemsoncomplex material architectures, including general multimaterial arrangements.ThiscanbeefficientlyachievedwithanimmersedboundaryB-splinesapproach.Furthermore, the design of flexoelectric metamaterials also involves the anal-ysis of periodic unit cells with generalized periodicity conditions. Optimalhigh-order convergence rates are obtained with an unfitted B-spline approxi-mation, confirming the reliability of the method. The numerical simulationsillustrate the usefulness of the proposed approach toward the design of func-tional electromechanical multimaterial devices and metamaterials harnessingthe flexoelectric effect.
Descripció
This is the peer reviewed version of the following article: Barcelo, J. [et al.]. Weak enforcement of interface continuity and generalized periodicity in high-order electromechanical problems. "International journal for numerical methods in engineering", 28 Febrer 2022, vol. 123, núm. 4, p. 901-923, which has been published in final form at DOI10.1002/nme.6882. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
CitacióBarcelo, J. [et al.]. Weak enforcement of interface continuity and generalized periodicity in high-order electromechanical problems. "International journal for numerical methods in engineering", 28 Febrer 2022, vol. 123, núm. 4, p. 901-923.
ISSN0029-5981
Versió de l'editorhttps://onlinelibrary.wiley.com/doi/full/10.1002/nme.6882
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