Non unicità dell'energia libera per materiali viscoelastici
La non unicità dell'energia libera per un materiale viscoelastico di tipo «rate» viene provata mediante la determinazione di un controesempio.
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Dario Graffi, Mauro Fabrizio (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
La non unicità dell'energia libera per un materiale viscoelastico di tipo «rate» viene provata mediante la determinazione di un controesempio.
Mošna, F., Nečas, J. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Lacarbonara, Walter, Pacitti, Arnaud (2008)
Mathematical Problems in Engineering
Mikael Barboteu, Jose Ramon Fernández, Youssef Ouafik (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
In this work, we consider the quasistatic frictionless contact problem between a viscoelastic piezoelectric body and a deformable obstacle. The linear electro-viscoelastic constitutive law is employed to model the piezoelectric material and the normal compliance condition is used to model the contact. The variational formulation is derived in a form of a coupled system for the displacement and electric potential fields. An existence and uniqueness result is recalled. Then, a fully discrete scheme...
D. Blanchard, P. Le Tallec (1987)
Numerische Mathematik
Kamran Kazmi, Mikael Barboteu, Weimin Han, Mircea Sofonea (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
A new class of history-dependent quasivariational inequalities was recently studied in [M. Sofonea and A. Matei, History-dependent quasivariational inequalities arising in contact mechanics. Eur. J. Appl. Math. 22 (2011) 471–491]. Existence, uniqueness and regularity results were proved and used in the study of several mathematical models which describe the contact between a deformable body and an obstacle. The aim of this paper is to provide numerical analysis of the quasivariational inequalities...
José R. Fernández (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
In this work, the quasistatic thermoviscoelastic thermistor problem is considered. The thermistor model describes the combination of the effects due to the heat, electrical current conduction and Joule's heat generation. The variational formulation leads to a coupled system of nonlinear variational equations for which the existence of a weak solution is recalled. Then, a fully discrete algorithm is introduced based on the finite element method to approximate the spatial variable and an Euler scheme...
B. Einarsson (1971/1972)
Numerische Mathematik
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