Wam Marcel Brekelmans

TL;DR: In this article, a consistent numerical solution procedure of the governing partial differential equations is presented, which is shown to be capable of properly simulating localization phenomena, and the introduction of higher-order deformation gradients in the constitutive model is demonstrated to be an adequate remedy to this deficiency of standard damage models.

TL;DR: A micro-macro strategy suitable for modeling the mechanical response of heterogeneous materials at large deformations and non-linear history dependent material behaviour is presented and its performance is illustrated by the simulation of pure bending of porous aluminum.

TL;DR: This paper reviews the state of the art of a particular, yet powerful, method, i.e. computational homogenization, and discusses the main trends since the early developments up to the ongoing contributions and upcoming challenges in the field.

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.