Self-contact for inertial problems in continuum mechanics

Abstract: There are many theories about elastic collisions of solids and the resulting inertial evolution. What unifies most of them is that they involve some phenomenological assumption. The aim of this talk is to present a recent result which shows that for the self-collision of elastic bulk solids, it is in fact sufficient to consider matter non-interpenetration. Based only on this, we are able to derive existence of weak solutions including contact with obstacles and self-contact for arbitrary large times and for large deformations. Additionally we are able to precisely characterize the contact forces as a vector-valued measure. This is based on joint works with A. Češík, and G. Gravina.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).