In this paper, we study the regularity, on the boundary, of weak solutions to the Landau-Lifshitz system in the framework of the micromagnetic model in the quasi-static approximation. We establish the existence of global weak solutions to the Landau-Lifshitz system whose tangential space gradient on the boundary is square integrable.

We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and based on the classical Griffith’s criterion. We restrict our analysis to the case of anti-planar shear and we consider discontinuous displacements which are piecewise affine with respect to a regular triangulation.

We deal with the Ambrosio-Tortorelli approximation of the well-known Mumford-Shah functional to model quasi-static crack propagation in brittle materials. We employ anisotropic mesh adaptation to efficiently capture the crack path. Aim of this work is to investigate the numerical sensitivity of the crack behavior to the parameters involved in both the physical model and in the adaptive procedure.

A new finite element method/boundary method (FEM/BEM) scheme is proposed for the solution of 2D magnetic static and quasi-static problems with unbounded domains. The novelty an original approach in treatment outer region. related domain integral eliminated at discrete level by using approximation fundamental solutions (Green’s functions) every node mesh. This “FEM-Green” replaces standard bound...

the mechanical strength of cumin seed and the effects of moisture content, seed size, speed and direction of loading on the force and energy required to fracture cumin seed were investigated. the results showed that moisture and loading direction were significant at the 1% level on the force and energy required to fracture cumin seed. the effects of seed size on force and loading speed on energ...

abstract: in this paper, the results of experimental and numerical simulation of low velocity impact process have been carried out to investigate energy absorption of composite sandwich panels with 3d woven fabrics of glass fibers and epoxy resin. for this purpose, diagrams of force-displacement of the quasi-static and quasi-dynamic impact tests were studied. for the finite element simulation, ...