Giuliano Lazzaroni (Institut für Mathematik, Universität Würzburg) - On the role of the kinetic energy during unstable propagation in a heterogeneous peeling test
Mathematics - Colloquium
Friday, March 2, 2012
11:00 AM-12:00 PM
ABSTRACT: We present a model for the debonding of a one-dimensional inextensible film, subject to a monotonic loading with vanishing speed.
We consider a homogeneous material containing a small defect where the toughness is lower than the one of the matrix. In this case the dynamic solutions do not converge to a quasistatic one if the loading speed tends to zero. This is due to the presence of kinetic energy, which can be estimated by an optimal bound.
Moreover, using an exact numerical solution of the wave equation, we study the case of many defects, modelling a homogenized material.
Joint work with R. Bargellini, P.E. Dumouchel, and J.J. Marigo
Suggested Audiences: Adult, College
Last Modified: February 13, 2012 at 9:01 AM