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dc.contributor.authorBonet Carbonell, Javier
dc.contributor.authorOrtigosa, R.
dc.contributor.authorGil, A.J.
dc.date.accessioned2020-07-03T06:33:53Z
dc.date.available2020-07-03T06:33:53Z
dc.date.issued2013
dc.identifier.isbn978-84-941407-6-1
dc.identifier.urihttp://hdl.handle.net/2117/192351
dc.description.abstractIn this paper, a novel nonlinear variational formulation is presented for the numerical modelling of piezo-hyperelastic materials. Following energy principles, a new family of anisotropic extended internal energy density functionals is introduced, dependent upon the deformation gradient tensor and the Lagrangian electric displacement field vector. The requirement to obtain solutions to well defined boundary value problems leads to the definition of energy density functionals borrowing concepts from polyconvex elasticity. Material characterisation of the constitutive models is then carried out by means of experimental matching in the linearised regime (i.e. small strains and small electric field). The resulting variational formulation is discretised in space with the help of the Finite Element Method, where the resulting system of nonlinear algebraic equations is solved via the Newton-Raphson method after consistent linearisation. Finally, a series of numerical examples are presented in order to assess the capabilities of the new formulation.
dc.format.extent12 p.
dc.language.isoeng
dc.publisherCIMNE
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFinite element method
dc.subject.lcshCoupled problems (Complex systems) -- Numerical solutions
dc.subject.otherEnergy harvesting; Piezoelectricity; Polyconvexity; Large deformations; Finite Element Method
dc.titleA new variational framework for large strain piezoelectric hyperelastic materials
dc.typeConference report
dc.subject.lemacElements finits, Mètode dels
dc.rights.accessOpen Access
local.citation.contributorCOUPLED V
local.citation.publicationNameCOUPLED V : proceedings of the V International Conference on Computational Methods for Coupled Problems in Science and Engineering :
local.citation.startingPage503
local.citation.endingPage514


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