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An immersed boundary hierarchical B-spline method for flexoelectricity

Author
Codony, D.; Marco, O.; Fernandez, S.; Arias, I.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2019-09-01
Volume
354
First page
750
Last page
782
DOI
10.1016/j.cma.2019.05.036
Project funding
Enabling flexoelectric engineering through modeling and computation
Mètodes Numèrics en Ciències Aplicades i Enginyeria
Repository
http://hdl.handle.net/2117/181221 Open in new window
https://arxiv.org/pdf/1902.02567.pdf Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0045782519303068 Open in new window
Abstract
This paper develops a computational framework with unfitted meshes to solve linear piezoelectricity and flexoelectricity electromechanical boundary value problems including strain gradient elasticity at infinitesimal strains. The high-order nature of the coupled PDE system is addressed by a sufficiently smooth hierarchical B-spline approximation on a background Cartesian mesh. The domain of interest is embedded into the background mesh and discretized in an unfitted fashion. The immersed boundar...
Citation
Codony, D. [et al.]. An immersed boundary hierarchical B-spline method for flexoelectricity. "Computer methods in applied mechanics and engineering", 1 Setembre 2019, vol. 354, p. 750-782.
Keywords
Flexoelectricity, High-order PDE, Immersed boundary B-spline approximation, Nitsche's method, Piezoelectricity, Strain gradient elasticity
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants