We consider a thin curved film made of a martensitic material. The behavior of the film is governed by a free energy composed of a bulk energy term and an interfacial energy term. We show that the minimizers of the free energy converge to the minimizers of an energy depending on a two-dimensional deformation and one Cosserat vector field when the thickness of the curved film goes to zero. using...

Deformation microstructure is studied for a 1 D-shear problem in geometrically nonlinear Cosserat elasticity. Microstructure solutions are described analytically and numerically zero characteristic length scale.

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 ...

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...