Onsdag den 5 juni kl 15.15 talar Anders Klarbring, IKP, om
Contact, Friction and Mathematical Programming
Abstract:
A natural mathematical formulation of the physical phenomena of
surface contact and friction is obtained through use of complementarity
conditions.
Therefore, Mathematical Programming (MP) plays an important role in
the development of a qualitative theory for elastic (and inelastic)
bodies in mechanical contact. This lecture will present three recent
theoretical developments related to a linear elastic finite dimensional
mechanical structure in unilateral frictional contact with a rigid
support. (i) The situation of steady sliding is formulated as a
nonstandard linear complementarity problem. An existence result is
established which shows that a solution exists if and only if the
external forces satisfy some compatibility conditions. (ii) New
sufficient conditions for the existence of a solution to the
semicoercive frictional contact problem are presented and
interpreted. (ii) It is indicated how a nonsmooth Newton method or an
interior point method could be used to obtain numerical solutions.
Lokal: MAI:s seminarierum
Välkomna!
P O Lindberg