Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/910B48DE-177E-45E7-84A6-5D40317CB7C0 | - |
| Αναγνωριστικό | https://doi.org/10.1016/j.crme.2008.05.002 | - |
| Γλώσσα | en | - |
| Μέγεθος | 5 pages | en |
| Τίτλος | Numerical analysis of a quasistatic piezoelectric problem with damage | en |
| Δημιουργός | Stavroulakis Georgios | en |
| Δημιουργός | Σταυρουλακης Γεωργιος | el |
| Δημιουργός | José R. Fernández | en |
| Δημιουργός | Rebeca Martínez | en |
| Εκδότης | Elsevier | en |
| Περίληψη | The 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 solution | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-10-13 | - |
| Ημερομηνία Δημοσίευσης | 2008 | - |
| Θεματική Κατηγορία | Applied mechanics | en |
| Θεματική Κατηγορία | Engineering, Mechanical | en |
| Θεματική Κατηγορία | mechanics applied | en |
| Θεματική Κατηγορία | applied mechanics | en |
| Θεματική Κατηγορία | engineering mechanical | en |
| Βιβλιογραφική Αναφορά | J. 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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