Session S01 - Modeling and Computation for Control and Optimization of Biological and Physical Systems

Wednesday, July 14, 17:00 ~ 17:25 UTC-3

Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact

Sabrina Roscani

CONICET - Universidad Austral , Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider a dynamic contact problem in thermoelasticity, where the contact is governed by a normal damped response function and the constitutive thermoelastic law is given by the Duhamel-Neumann relation. Under suitable hypotheses on data we show the existence and uniqueness of solution for this problem. Then, we study the particular case when the deformable body is a shell and use asymptotic analysis to study the convergence to a 2D limit problem when the thickness tends to zero.

Joint work with M. T. Cao-Rial (Universidade da Coruña, España) , G. Castiñeira (Universidade de Vigo, España) y A. Rodríguez-Arós (Universidade da Coruña, España).

View abstract PDF