This paper investigates the Hamiltonian structure and Poisson bracket formulation of a higher-order, geometrically-exact Cosserat type beam with deforming cross-section in terms canonically conjugate variables.

Ce document présente et discute de certains concepts de base de la mécanique du continuum de façon à permettre d'envisager des applications dans le domaine de la géophysique. Il aborde en particulier les concepts tels que les milieux de Cosserat, la répartition continue d’hétérogénéités et le rôle des symétries matérielles. Dans l'esprit de notre communication orale, la présentation garde un st...

The effective behavior of second order strain energy densities is obtained using relaxation and Γ convergence techniques. The Cosserat theory (see e.g. [13], [14] and [2]) is recovered within a dimension reduction analysis for 3D non linear elastic thin domains with varying profiles. Homogeneous and inhomogeneous plate models with periodic profiles are treated.

We present a framework to study electrical charge phenomena on human hair. We propose a fiber based hair model which bases on the special theory of Cosserat Rods to overcome the well known difficulties one has to deal with when simple particle systems are used. We show how such models can efficiently be employed in conjunction with the fast multipole method to account for Coulomb far-field inte...

The asymptotic behavior of an elastic thin film penalized by a van der Wals type interfacial energy is investigated when both its thickness and the magnitude of the additional energy vanish in the limit. Keeping track of both mid-plane and out of plane deformations (through the introduction of the Cosserat vector), the resulting behavior strongly depends upon the ratio between thickness and int...

The problem of a blunt edge notch of elliptic contour in a strip of Cosserat (micropolar) elastic material under tension has been analyzed via two-dimensional (plane stress) finite element analysis. Both 3-node constant strain triangular elements and 4-node isoparametric elements were used. Three cases were explored: Cosserat characteristic length much less than the crack root radius, equal to ...