A rigid-plastic Cosserat model has been used to study dense, fully developed flow of granular materials through a vertical channel. Frictional models based on the classical continuum do not predict the occurrence of shear layers, at variance with experimental observations. This feature has been attributed to the absence of a material length scale in their constitutive equations. The present mod...

In spite of recent progress, soft robotics still suffers from a lack of unified modeling framework. Nowadays, the most adopted model for the design and control of soft robots is the piece-wise constant curvature model, with its consolidated benefits and drawbacks. In this work, an alternative model for multisection soft robots dynamics is presented based on a discrete Cosserat approach, which, ...

Abstract In our paper, we consider the mixed problem in context of Green-Naghdi theory thermoelastic Cosserat media. Using very accessible mathematical calculations, prove two qualitative results on solutions formulated problem. Thus, first these approaches, obtain a result stability, Hölder type, with regards to loads. second main result, continuous dependence regarding initial values from It ...

We consider a class of single-director Cosserat shell models accounting for both curvature and finite mid-plane strains. assume polyconvexity condition the stored-energy function that reduces to physically correct membrane model in absence bending. With appropriate growth conditions, we establish existence energy minimizers. The local orientation minimizing configuration is maintained via blowu...

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 ...

This study is concerned with the theory of Cosserat thermoelastic media, whose micro-particles possess microtemperatures. The mixed initial boundary value problem considered in this context transformed a temporally evolutionary equation on Hilbert space. Using some results from semigroups, existence and uniqueness solution proved. In same manner, it approached continuous dependence upon data lo...

Following a cursory review and synthesis of multipolar continua, the rudiments of graph theory, and granular mechanics, a graph-theoretic, energy-based homogenization is proposed for the systematic derivation of multipolar stress and kinematics in granular media. This provides a weakly non-local hierarchy of multipolar field equations for quasi-static mechanics based on polynomial representatio...