A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems; Application to shape memory composite materials

Homsi, Lina; Noels, Ludovic

doi:10.1007/s11012-017-0743-9

Article (Scientific journals)

A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems; Application to shape memory composite materials

Homsi, Lina; Noels, Ludovic

2018 • In Meccanica, 53 (6), p. 1357-1401

Peer reviewed

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https://hdl.handle.net/2268/214128

DOI
10.1007/s11012-017-0743-9

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Keywords :

Discontinuous Galerkin method; Electro-thermo-mechanics; Nonlinear elliptic problems; Smart composites; CECI; LIMARC

Abstract :

[en] A coupled Electro-Thermo-Mechanical Discontinuous Galerkin (DG) method is developed considering the non-linear interactions of electrical, thermal, and mechanical fields. In order to develop a stable discontinuous Galerkin formulation the governing equations are expressed in terms of energetically conjugated fields gradients and fluxes. Moreover, the DG method is formulated in finite deformations and finite fields variations. The multi-physics DG formulation is shown to satisfy the consistency condition, and the uniqueness and optimal convergence rate properties are derived under the assumption of small deformation. First the numerical properties are verified on a simple numerical example, and then the framework is applied to simulate the response of smart composite materials in which the shape memory effect of the matrix is triggered by the Joule effect.

Research Center/Unit :

A&M - Aérospatiale et Mécanique - ULiège

Disciplines :

Mechanical engineering
Materials science & engineering

Author, co-author :

Homsi, Lina ; Université de Liège - ULiège > Form. doct. sc. ingé. & techno. (aéro. & mécan. - Paysage)

Noels, Ludovic ; Université de Liège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)

Language :

English

Title :

A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems; Application to shape memory composite materials

Publication date :

April 2018

Journal title :

Meccanica

ISSN :

0025-6455

eISSN :

1572-9648

Publisher :

Kluwer Academic Publishers, Netherlands

Special issue title :

Novel computational approaches to old and new problems in mechanics

Volume :

Issue :

Pages :

1357-1401

Peer reviewed :

Peer reviewed

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Additional URL :

http://dx.doi.org/10.1007/s11012-017-0743-9

Name of the research project :

This project has been funded with support of the European Commission under the grant number 2012-2624/001-001-EM.. This publication reflects the view only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein; Computational resources have been provided by the supercomputing facilities of the Consortium des Equipements de Calcul Intensif en Federation Wallonie Bruxelles (CECI) funded by the Fond de la Recherche Scientifique de Belgique (FRS-FNRS).

Funders :

UE - Union Européenne
F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 11 September 2017

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