Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau and Komornik...
Partial Regularity for Certain classes for Polyconvex functionals Related to Nonlinear Elasticity.
Perturbation of a biharmonic eigenvalue problem
Perturbations en théorie spectrale
Phase field model for mode III crack growth in two dimensional elasticity
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regularization parameter and we approximate the Francfort–Marigo type energy using the idea of Ambrosio and Tortorelli. The phase field model is derived as a gradient flow of this regularized energy. We show several numerical examples of the crack growth computed with an adaptive mesh finite element method.
Potential methods in continuum mechanics.
Preface to Special Issue
Problèmes unilatéraux en élasticité
Propagation of stress waves in elastic solids.
Proprietà dello stress minimizzante l'energia potenziale elastica in un insieme di stress «staticamente ammissibili»