Volume 21, Number 1, January-March 2015
|Page(s)||271 - 300|
|Published online||09 December 2014|
Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening
Revised: 25 April 2014
The paper is concerned with the optimal control of static elastoplasticity with linear kinematic hardening. This leads to an optimal control problem governed by an elliptic variational inequality (VI) of first kind in mixed form. Based on Lp-regularity results for the state equation, it is shown that the control-to-state operator is Bouligand differentiable. This enables to establish second-order sufficient optimality conditions by means of a Taylor expansion of a particularly chosen Lagrange function.
Mathematics Subject Classification: 49K20 / 74C05 / 74P10 / 35R45
Key words: Second-order sufficient conditions / optimal control of variational inequalities / bouligand differentiability
© EDP Sciences, SMAI 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.