Using $$\Gamma $$ -convergence arguments, we construct a nonlinear membrane-like Cosserat shell model on curvy reference configuration starting from geometrically nonlinear, physically linear three-dimensional isotropic model. Even if the theory is of order O(h) in thickness h, by comparison to membrane models proposed classical elasticity, beside change metric, still capable capturing transver...

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.

The physical meaning of Cosserat, void, and microstretch elastic constants is analyzed and interpreted. Various torsion experiment designs provide a clear path to extract Cosserat elastic constants independently of any dilatation gradient sensitivity the material may have. For void elasticity (with sensitivity to dilatation gradients) there is no known quasi-static modality to demonstrate pheno...

STRANDS are thin elastic solids that are visually well approximated as smooth curves, and yet possess essential physical behaviors characteristic of solid objects such as twisting. Common examples in computer graphics include: sutures, catheters, and tendons in surgical simulation; hairs, ropes, and vegetation in animation. Physical models based on spring meshes or 3D finite elements for such t...

Department of Engineering Physics, Department of Materials Science University of Wisconsin, 1500 Engineering Drive, Madison, WI 53706-1687, USA preprint adapted from Lakes, R. S., Reduced warp in torsion of reticulated foam due to Cosserat elasticity: experiment, Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP), 67(3), 1-6 (2016). Abstract Warp of cross sections of square section bars i...

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...

In a previous publication the authors proposed a continuous model for describing the mechanical behaviour of ‘Running Bond’ masonry walls. Here a different masonry structure is considered. This structure is ‘bi-atomic’ in the sense that its pattern consists in two kind of blocks with different. The homogenization by differential expansions technique is used for obtaining an equivalent Cosserat ...

Negative Poisson’s ratio polymer foams derived from reticulated open cell foams exhibit large size effects in torsion and bending. Effective moduli increase as diameter decreases in contrast to the prediction of classical elasticity. Size effects of this sort are predicted by Cosserat (micropolar) elasticity in which points can rotate as well as translate and distributed moments are incorporate...