Plenary Lecture

A New Numerical Approach to Handle the Interface Conditions in Equations of Elasticity

Professor Franck Assous
Dept of Maths & Comput. Sc.
Ariel University Center
40700, Ariel, Israel
also with:
Bar-Ilan University
52900, Ramat-Gan, Israel

Abstract: This work deals with the crack problem simulation in dissimilar media. It proposes a new numerical approach derived from a Nitsche type method for handling interface conditions in the Elasticity equations. The Nitsche method, introduced to impose weakly essential boundary conditions in the scalar Laplace operator, has been then worked out more generally and transferred to continuity conditions. We propose here an extension of this method to the Navier-Lame equations. We derive a variational formulation that provides the solution in terms of displacements eld in the case of a crack existence in a plate domain, made of several di erent layers characterized by di erent material properties. We formulate the method for both the homogeneous and the dissimilar material domains and report some numerical experiments.

Brief Biography of the Speaker: Prof. Franck Assous received a Ph.D. degree in Applied Mathematics from the University of Paris (France). He then received the French "Habilitation a Diriger les Recherches" degree from the University of Toulouse (France). He worked more than 14 years at the Atomic French Agency (CEA) as a senior researcher. In parallel, he was teaching at the ENSTA School of Engineers (Paris) as an Assitant Professor, then at the Versailles University as an Associate Professor. He is currently working in Israel, where he is Professor of Applied Mathematics at the Ariel University Center (Israel), and at the Bar-Ilan University (Israel). His research project include numerical methods for Partial Differential Equations, with a particular interest for problems arising from models in the field of computational electromagnetism, plasma physics, elasticity. He is also interested in inverse problem in wave propagation problems.