We discuss the discrete-to-continuum transition in the description of matter, starting from a
cluster of flowing molecules with equal mass and ending up with a non-simple fluid. We …

We analyze homothermal acceleration waves in complex materials (those with active
microstructure) in the presence of internal constraints that link the temperature to a manifold …

In this paper, I determine the minimum amount of information that continuum mechanics
needs to obtain from Newtonian molecular dynamics, in order to avail itself of stress-strain …

We develop further a discrete-to-continuum approach to sparse media for which we do not
grant the common axiom of permanent identification of the material elements. After refining …

The mechanical balance equations for a body with microstructure are derived from an
expansion of the general Noll's axiom of frame-indifference that takes into account the …

We propose a multi-scale view on the motion of grains inside a continuum body undergoing
strain. We consider the whole compound as a mixture and attribute to every material point …

We discuss a multi-scale continuum representation of bodies made of several mass particles
flowing independently each other. From an invariance procedure and a nonstandard …

Any mechanical modeling of matter depends primarily on the chosen spatial and temporal
observation scales. Roughly speaking, there are three such scales, microscopic for …

Weoftenintroduceregulatoryconstraintsorbe… or avoid diffusion processes with nontrivial
social interactions. Examples are a pandemic or circumstances dealing with construction …

Based on concrete examples dealing with one-level periodic and quasi-periodic, and two-
level periodic lattices, we show that the homogenization of complex lattices generically …