A C0 interior penalty Finite Element Method for flexoelectricity
Visualitza/Obre
Cita com:
hdl:2117/359396
Tipus de documentArticle
Data publicació2021-09
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
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 propose a C0 Interior Penalty Method (C0-IPM) for the computational modelling of flexoelectricity, with application also to strain gradient elasticity, as a simplified case. Standard high-order C0 finite element approximations, with nodal basis, are considered. The proposed C0-IPM formulation involves second derivatives in the interior of the elements, plus integrals on the mesh faces (sides in 2D), that impose C1 continuity of the displacement in weak form. The formulation is stable for large enough interior penalty parameter, which can be estimated solving an eigenvalue problem. The applicability and convergence of the method is demonstrated with 2D and 3D numerical examples.
Descripció
This is a post-peer-review, pre-copyedit version of an article published in Journal of scientific computing. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10915-021-01613-w
CitacióVentura, J.; Codony, D.; Fernandez, S. A C0 interior penalty Finite Element Method for flexoelectricity. "Journal of scientific computing", Setembre 2021, vol. 88, núm. 3, article 88.
ISSN0885-7474
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
2021-JSC-VCF.pdf | 1,043Mb | Visualitza/Obre |