6 papers · 1 filter
Shape optimization involving the Tresca friction law in a 2D linear elastic model
Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy
The aim of this work is to analyse a shape optimization problem in a mechanical friction context. Precisely we perform a shape sensitivity analysis of a Tresca friction problem, th…
Sensitivity analysis and optimal control for a friction problem in the linear elastic model
Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy
This paper investigates, without any regularization procedure, the sensitivity analysis of a mechanical friction problem involving the (nonsmooth) Tresca friction law in the linear…
Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca's friction law
Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy
This paper investigates the sensitivity analysis of a scalar mechanical contact problem described by a boundary value problem involving the Tresca's friction law. The sensitivity a…
Shape optimization for variational inequalities: the scalar Tresca friction problem
Samir Adly, Loïc Bourdin, Fabien Caubet +1
This paper investigates, without any regularization or penalization procedure, a shape optimization problem involving a simplified friction phenomena modeled by a scalar Tresca fri…
On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem
Fabien Caubet, Marc Dambrine, Jérémi Dardé
This paper is devoted to the understanding of regularisation process in the shape optimization approach to the so-called Dirichlet inverse obstacle problem for elliptic operators.…
Flip procedure in geometric approximation of multiple-component shapes -- Application to multiple-inclusion detection
Pierre Bonnelie, Loïc Bourdin, Fabien Caubet +1
We are interested in geometric approximation by parameterization of two-dimensional multiple-component shapes, in particular when the number of components is a priori unknown. Star…