Reference : A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems; Ap...
Scientific journals : Article
Engineering, computing & technology : Materials science & engineering
Engineering, computing & technology : Mechanical engineering
A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems; Application to shape memory composite materials
Homsi, Lina mailto [Université de Liège - ULiège > > > Form. doct. sc. ingé. & techno. (aéro. & mécan. - Paysage)]
Noels, Ludovic mailto [Université de Liège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Novel computational approaches to old and new problems in mechanics
[en] Discontinuous Galerkin method ; Electro-thermo-mechanics ; Nonlinear elliptic problems ; Smart composites ; CECI ; LIMARC
[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.
Union Européenne = European Union - UE = EU ; Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS ; CECI
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).
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