Mgd Marc Geers

TL;DR: In this article, a gradient-enhanced computational homogenization procedure is proposed for the modeling of microstructural size effects, within a general non-linear framework, where the macroscopic deformation gradient tensor and its gradient are imposed on a micro-structural representative volume element (RVE).

TL;DR: In this paper, a second-order computational homogenization approach is applied for the multi-scale analysis of simple shear of a constrained heterogeneous strip, where a pronounced boundary size effect appears.

TL;DR: In this paper, the effect of adding nonlocal or gradient terms to the constitutive modeling may enhance the ability of the models to describe such situations, and the relation between these enhancements are examined in a continuum damage setting.

TL;DR: In this paper, a gradient-enhanced damage model was proposed to regularize the localization of deformation and render numerical analyses mesh-objective for quasi-brittle fracture.

TL;DR: In this paper, a strain gradient-dependent crystal plasticity approach is presented to model the constitutive behaviour of polycrystal FCC metals under large plastic deformation, and the resulting boundary value problem accommodates, in addition to the ordinary stress equilibrium condition, a condition which sets the additional nodal degrees of freedom, the edge and screw GND densities, proportional (in a weak sense) to the gradients of crystalline slip.