Optimal Control of a Viscous Two-Field Damage Model with Fatigue

Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings. This consists of a coupling between a doubly non-smooth history-dependent evolution and an elliptic PDE. After proving the directional differen...

Full description

Saved in:
Bibliographic Details
Published inJournal of nonsmooth analysis and optimization Vol. 4; no. Original research articles
Main Author Betz, Livia
Format Journal Article
LanguageEnglish
Published Episciences 11.08.2023
Subjects
Mathematics
evolutionary VIs
damage models with fatigue non-smooth optimization evolutionary VIs optimal control of PDEs history-dependence strong stationarity AMS subject classifications. 34G25 34K35 49J20 49J27 74R99
damage models with fatigue
optimal control of PDEs
49J20
non-smooth optimization
74R99
34K35
strong stationarity AMS subject classifications. 34G25
49J27
history-dependence
Online AccessGet full text

Cover

More Information
Summary:Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings. This consists of a coupling between a doubly non-smooth history-dependent evolution and an elliptic PDE. After proving the directional differentiability of the associated solution mapping, an optimality system which is stronger than the one obtained by classical smoothening procedures is derived. If one of the non-differentiable mappings becomes smooth, the optimality conditions are of strong stationary type, i.e., equivalent to the primal necessary optimality condition.
ISSN:2700-7448
2700-7448
DOI:10.46298/jnsao-2023-10834