We define a notion of quasistatic evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evolution converges to a quasi static growth of brittle fractures in linearly elastic bodies.

In order to improve the time/precision ratio of the simulation calculations, we investigate a multi-scale technique for the resolution of the reactor kinetics equations. We choose to focus on the mixed dual diffusion approximation and the Quasi-Static method. We introduce a space dependency for the amplitude function which only depends on the time variable in the standard Quasi-Static context. ...

Abstract. We consider the Bean’s critical state model for anisotropic superconductors. A variational problem solved by the quasi–static evolution of the internal magnetic field is obtained as the Γ-limit of functionals arising from the Maxwell’s equations combined with a power law for the dissipation. Moreover, the quasi–static approximation of the internal electric field is recovered, using a ...

In this paper, we consider multiuser space-time block codes (STBCs) for 2 × 2 multiple–input multiple–output (MIMO) uplink transmissions. Using a truncated union–bound (UB) approximation, we propose design criteria of multiuser STBCs for quasi-static fading MIMO multiple access channels (MACs). Next, we demonstrate how, by combining the structure of algebraic perfect STBCs in [10], a family of ...

The frequency dependence of the effective permittivities of simple dielectric composites is evaluated by different quasidynamic homogenization methods. Three retrieval approaches based on the scattering parameters are proposed for dielectric materials. A compensation method for the conventional Nicolson-Ross-Weir (NRW) retrieval is applied to eliminate the FabryPérot (FP) resonances and their d...

self-centering pier (scp) has been viewed as a remarkable accomplishment which is able to sustain major lateral loading with reduced structure damage in seismic engineering. stiffness deterioration observed in experiment is vital for the seismic performance of self-centering concrete pier. in this contribution, the associated stiffness deterioration with respect to the structural damage is mode...

We discuss transport properties of dynamical fluid composed of quasi-particles whose masses depend on temperature and charge chemical potentials. Based on the relativistic kinetic theory formulated under the relaxation time approximation, we derive a general expression for the bulk viscosity in the quasi-particle medium. We show that dynamically generated particle masses imply an essential modi...