High performance computing for flexoelectric devices
This exiting development requires a robust mathematical and computational framework for solving flexoelectric boundary value problems, mathematically a coupled system of 4th-order partial differential equations, in general geometries in 3D. Towards this goal, this thesis presents the implementation...
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| Formato: | tesis de maestría |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/332734 |
| Acesso em linha: | https://hdl.handle.net/2117/332734 |
| Access Level: | acceso abierto |
| Palavra-chave: | Elastic solids Elasticity Strength of materials Flexoelectric effect Flexoelectricity Piezoelectric effect Piezoelectricity Strain-gradient elasticity Electromechanical Transduction High Performance Computing Finite Element Method Numerical Methods Non-conforming methods BSpline Immersed Bou Elasticitat Resistència de materials Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods Àrees temàtiques de la UPC::Enginyeria civil Àrees temàtiques de la UPC::Enginyeria dels materials |
| Resumo: | This exiting development requires a robust mathematical and computational framework for solving flexoelectric boundary value problems, mathematically a coupled system of 4th-order partial differential equations, in general geometries in 3D. Towards this goal, this thesis presents the implementation of a multi-scale mathematical and computational model for flexoelectricity within a High Performance Computing framework. The model aims to model flexoelectricity in crystalline dielectrics, by solving boundary value problems which couple linear flexoelectricity, piezoelectricity and strain gradient elasticity with unfitted meshes. |
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