We discuss the propagation of surface waves in an isotropic half space modelled with linear Cosserat theory elastic materials. To this aim we use a method based on algebraic analysis impedance matrix and Riccati equation, which is independent common Stroh formalism. Due to method, new algorithm determines amplitudes wave speed materials described. Moreover, allows us prove existence uniqueness ...

The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular deviatoric section. This too crude an approximation which hinders application into practice, particularly geotechnical domain. An elasto-plastic model for linear formulation here pr...

We start recalling with critical eyes the mathematical methods used in gauge theory and prove that they are not coherent with continuum mechanics, in particular the analytical mechanics of rigid bodies or hydrodynamics, though using the same group theoretical methods and despite the well known couplings existing between elasticity and electromagnetism (piezzoelectricity, photoelasticity, stream...

We suggest an alternative mathematical model for the massless neutrino. Consider an elastic continuum in 3-dimensional Euclidean space and assume that points of this continuum can experience no displacements, only rotations. This framework is a special case of the so-called Cosserat theory of elasticity. Rotations of points of the continuum are described by attaching to each point an orthonorma...

Chiral three-dimensional isotropic cubic lattices with rigid cubical nodules and multiple deformable ribs are developed and analyzed via finite element analysis. The lattices exhibit geometry dependent Poisson’s ratio that can be tuned to negative values. Poisson’s ratio decreases from positive to negative values as the number of cells increases. Isotropy is obtained by adjustment of aspect rat...

In this note we investigate the question of higher regularity up to the boundary for quasilinear elliptic systems which origin from the time-discretization of models from infinitesimal elasto-plasticity. Our main focus lies on an elasto-plastic Cosserat model. More specifically we show that the time discretization renders H-regularity of the displacement and H-regularity for the symmetric plast...