Multi-scale models enriched with the second gradient of the displacement field and based
on the concept of representative volume element (RVE) are examined and discussed in …

A coupled multi-scale (macro–micro) model is developed to predict non-linear elasto-plastic
behavior of short fiber reinforced composites. At the microscopic level, a recently proposed …

In this contribution, the enforcement of uniform traction (UT) and periodic boundary (PB)
conditions on arbitrarily generated meshes is analysed in detail, and the derivation of the …

A multi-scale model which couples a macro-scale strain-gradient theory with a classical
continuum at representative volume element (RVE) level is formulated in this contribution for …

The convergence behaviour of representative volume elements (RVEs) with an increasing
number of crystalline grains, which can undergo crystallographic slip and mechanically …

Multi-scale formulations that combine a macro-scale second gradient theory with the
classical continuum at the micro-scale are examined in this contribution. In particular, the …

A homogenization‐based multi‐scale model at finite strains is proposed linking the micro‐
scale to the macro‐scale level through a second‐gradient constitutive theory. It is suitable for …

In many applications, such as textiles, fibreglass, paper and several kinds of biological
fibrous tissues, the main load-bearing constituents at the micro-scale are arranged as a fibre …

Particle-grid dual discretization methods employ one group of Lagrangian particles and one
set of background grid, which demonstrate attractive properties because they inherit both the …

Parallel computational homogenization using the well-knwon FE^ 2 FE 2 approach is
described and combined with domain decomposition and algebraic multigrid solvers. It is …