We consider the distributed optimal control of the obstacle problem with control constraints.
Since Mignot proved in 1976 the necessity of a system which is equivalent to strong …

Equations of linear and nonlinear infinitesimal elasticity with mixed boundary conditions are
considered. The bounded domain is assumed to have a Lipschitz boundary and to satisfy …

Optimal control problems for the variational inequality of static elastoplasticity with linear
kinematic hardening are considered. The control-to-state map is shown to be weakly …

This article is concerned with shape optimization of structures made of a material obeying
Hencky's laws of plasticity, with the stress bound expressed by the von Mises effective …

We discuss a topology optimization problem for an elastoplastic medium. The distribution of
material in a region is optimized with respect to a given target functional taking into account …

In this chapter, we are concerned with inverse optimal control problems, ie, optimization
models which are used to identify parameters in optimal control problems from given …

Using a standard first-order optimality condition for nonsmooth optimization problems, a
general framework for a descent method is developed. This setting is applied to a class of …

The main purpose of this thesis is to perform shape optimisation, in the framework of the
level set method, for two mechanical behaviours inducing displacement which are not shape …

This paper is mainly concerned with an optimal control problem governed by a nonsmooth
coupled system of equations. The nonsmooth nonlinearity is Lipschitz continuous and …

The implicit function theorem (IFT) can be used to deduce the differentiability of an implicit
mapping S: u↦ y given by the equation e (y, u)= 0. However, the IFT is not applicable when …