Tuesday, 16:15 - 16:40 h, Room: MA 313


Gerd Wachsmuth
Optimal control of quasistatic plasticity

Coauthors: Roland Herzog, Christian Meyer


An optimal control problem is considered for the variational inequality
representing the stress-based (dual) formulation of quasistatic
elastoplasticity. The linear kinematic hardening model and the von Mises
yield condition are used. By showing that the VI can be written as an
evolutionary variational inequality, we obtain the continuity of the
forward operator. This is the key step to prove the existence of minimizers.
In order to derive necessary optimality conditions, a family of time
discretized and regularized optimal control problems is analyzed. By
passing to the limit in the optimality conditions for the regularized
problems, necessary optimality conditions of weakly stationarity type
are obtained.
We present a solution method which builds upon the optimality system of
the time discrete and regularized problem. Numerical results which
illustrates the possibility of controlling the springback effect.


Talk 3 of the invited session Tue.3.MA 313
"MPECs in function space II" [...]
Cluster 3
"Complementarity & variational inequalities" [...]


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