Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Numerical analysis of a quasistatic piezoelectric problem with damage

Stavroulakis Georgios, José R. Fernández, Rebeca Martínez

Simple record


URIhttp://purl.tuc.gr/dl/dias/910B48DE-177E-45E7-84A6-5D40317CB7C0-
Identifierhttps://doi.org/10.1016/j.crme.2008.05.002-
Languageen-
Extent5 pagesen
TitleNumerical analysis of a quasistatic piezoelectric problem with damageen
CreatorStavroulakis Georgiosen
CreatorΣταυρουλακης Γεωργιοςel
CreatorJosé R. Fernándezen
Creator Rebeca Martínezen
PublisherElsevieren
Content SummaryThe quasistatic evolution of the mechanical state of a piezoelectric body with damage is numerically studied in this paper. Both damage and piezoelectric effects are included into the model. The variational formulation leads to a coupled system composed of two linear variational equations for the displacement field and the electric potential, and a nonlinear parabolic variational equation for the damage field. The existence of a unique weak solution is stated. Then, a fully discrete scheme is introduced by using a finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivatives. Error estimates are derived on the approximate solutions, from which the linear convergence of the algorithm is deduced under suitable regularity conditions. Finally, a two-dimensional example is presented to demonstrate the behaviour of the solutionen
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-13-
Date of Publication2008-
SubjectApplied mechanicsen
SubjectEngineering, Mechanicalen
Subjectmechanics applieden
Subjectapplied mechanicsen
Subjectengineering mechanicalen
Bibliographic CitationJ. R. Fernándeza, R. Martínez, G. E. Stavroulakis ,"Numerical analysis of a quasistatic piezoelectric problem with damage ," Com. Rendus Méc. vol. 336, no.7, pp. 559–564, Jul.2008.doi: 10.1016/j.crme.2008.05.002 en

Services

Statistics