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Numerical analysis of a quasistatic piezoelectric problem with damage

Stavroulakis Georgios, José R. Fernández, Rebeca Martínez

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/910B48DE-177E-45E7-84A6-5D40317CB7C0-
Αναγνωριστικόhttps://doi.org/10.1016/j.crme.2008.05.002-
Γλώσσαen-
Μέγεθος5 pagesen
ΤίτλοςNumerical analysis of a quasistatic piezoelectric problem with damageen
ΔημιουργόςStavroulakis Georgiosen
ΔημιουργόςΣταυρουλακης Γεωργιοςel
ΔημιουργόςJosé R. Fernándezen
Δημιουργός Rebeca Martínezen
ΕκδότηςElsevieren
ΠερίληψηThe 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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-13-
Ημερομηνία Δημοσίευσης2008-
Θεματική ΚατηγορίαApplied mechanicsen
Θεματική ΚατηγορίαEngineering, Mechanicalen
Θεματική Κατηγορίαmechanics applieden
Θεματική Κατηγορίαapplied mechanicsen
Θεματική Κατηγορίαengineering mechanicalen
Βιβλιογραφική ΑναφοράJ. 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

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