2012/09/05 by Gerd Wachsmuth, Wachsmuth, Gerd
Computer Science · Engineering · Medicine · #49J40 #74C05 #74P10 #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics #Optimization and Control (math.OC) #Orthopaedic implants and arthroplasty
paper · pdf · doi:10.48550/arxiv.1209.0889
openalex publication_date 2012/09/05 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28
In this paper we consider an optimal control problem governed by a\ntime-dependent variational inequality arising in quasistatic plasticity with\nlinear kinematic hardening. We address certain continuity properties of the\nforward operator, which imply the existence of an optimal control. Moreover, a\ndiscretization in time is derived and we show that every local minimizer of the\ncontinuous problem can be approximated by minimizers of modified, time-discrete\nproblems.\n