This paper provides an extension to Cosserat mechanics of a recently proposed version of hypoplasticity [1], and this extension is achieved economically by means of a novel complex-variable formulation of Cosserat theory. The present work represents a compact synthesis and theoretical framework for both non-polar and polar hypoplasticity, and it encompasses various special cases considered in t...

The isothermal quasistatic (i.e.\ acceleration neglected) hardening-free plasticity at large strains is considered, based on the standard multiplicative decomposition of total strain and isochoric plastic distortion. Eulerian velocity-strain formulation used. mass density evolves too, but acts only via force term with a given external acceleration. This rather model then re-formulated in terms ...

This papers addresses the behaviour of hypoplastic equations near the reference configuration. By an approximation process, a general small strain hypoplastic equation is derived. Two particular equations are examined. It is shown that they can represent solids exhibiting different Young's moduli in compression and in extension.

"Granular elasticity," useful for calculating static stress distributions in granular media, is generalized by including the effects of slowly moving, deformed grains. The result is a hydrodynamic theory for granular solids that agrees well with models from soil mechanics.