1. Abstract Micropolar field theory represents an extension of the classical Cauchy continuum theory. In this paper, a topology optimization procedure for maximum stiffness is applied to structural elements made of micropolar (Cosserat) solids. Some special problems are dealt with, and particular attention is given to models that refer to structural interfaces. The results are in good agreement...

We study in this paper the well-posedness and stability of a linear system thermoelastic Cosserat medium with infinite memory, where is continuum which each point has degrees freedom rigid body.

The modelling strategy and simulation of flexible components of MEMS are addressed in this article. A newly developed Cosserat Rod Element (CRE) approach is employed to model the nonlinear dynamic equations of motion for micro resonators. Models constructed using this approach seek to capture the most significant characteristics of a microstructure in a few variables governed by a few ordinary ...

We present a novel method to simulate bending and torsion of elastic rods within the position-based dynamics (PBD) framework. The main challenge is that torsion effects of Cosserat rods are described in terms of material frames which are attached to the centerline of the rod. But frames or orientations do not fit into the classical position-based dynamics formulation. To solve this problem we i...

In a previous article (see [BFM]) the authors studied a model of nonlinear membrane where the external surface loading induces a density of bending moment. Due to the special form of the applied surface forces, the emerging Cosserat vector, result of the 3D-2D dimension reduction, was restricted to a class of two dimensional functions. In this paper we analyze the more general case where the Co...

Chiral three-dimensional cubic lattices are developed with rigid cubical nodules and analyzed via finite element analysis. The lattices exhibit geometry dependent Poisson’s ratio that can be tuned to negative values. Poisson’s ratio tends to zero as the cubes become further apart. The lattices exhibit stretch-twist coupling. Such coupling cannot occur in a classical elastic continuum but it can...

An experimental method is presented for the rapid evaluation of structured solids with microelastic degrees of freedom associated with the microstructure. By contrast with earlier methods based on size effect studies, the present method makes use of a single specimen subjected to holographic interferometry. Results are presented for polymethyl methacrylate and for a dense polyurethane foam, whi...