Abstract As part of his groundbreaking work on generalized continuum mechanics, Eringen proposed what he called 3M theories, namely the concept micromorphic, microstretch, and micropolar materials modeling. The micromorphic approach provides most general framework for a with translational (internal) rotational degrees freedom (DOF), whilst DOFs continua are subjected to more constraints. More r...

This brief article provides an independent derivation of a formula given by Kafadar and Eringen (1971) connecting two distinct Cosserat spins. The first of these, the logarithmic spin represents the time rate of change of the vector defining finite Cosserat rotation, whereas the second, the instantaneous spin, gives the local angular velocity representing the infinitesimal generator of that rot...

Conventional macro mechanical models and closed form estimates are in many cases not sufficient to appropriately predict the stiffness and strength of composite materials. Composite failure occurs as a result of complex microstructural damage mechanisms, which arise simultaneously with other nonlinear effects in the microstructure. In this contribution we propose an approach, where nonlinear ma...