In this paper, we present a critical survey on homogenization theory and related techniques
applied to micromechanics. The validation of homogenization results, the characterization of …

A gradient‐enhanced computational homogenization procedure, that allows for the
modelling of microstructural size effects, is proposed within a general non‐linear framework …

A general method called FE2 has been introduced which consists in describing the behavior
of heterogeneous structures using a multiscale finite element model. Instead of trying to …

In mechanical engineering and structural analysis there is a significant gap between the
material models currently used by engineers for industry applications and those already …

Most of the materials produced and utilized in industry are heterogeneous on one or another
spatial scale. Typical examples include metal alloy systems, porous media, polycrystalline …

Metamaterials are composed of structural elements and derive their properties mainly from
the inner structure of the elements, rather than the properties of their constituent material. By …

A unifying thermomechanical constitutive framework for generalized continua including
additional degrees of freedom or/and the second gradient of displacement is presented …

The homogenization of periodic hexachiral and tetrachiral honeycombs is dealt with two
different techniques. The first is based on a micropolar homogenization. The second …

A hierarchy of higher order continua is presented that introduces additional degrees of
freedom accounting for volume changes, rotation and straining of an underlying …

A methodology for the construction of effective strain gradient media for heterogeneous
materials is proposed, combining a variational principle in linear elasticity with the extended …