A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials

K Matouš, MGD Geers, VG Kouznetsova… - Journal of Computational …, 2017 - Elsevier
Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …

[HTML][HTML] Multi-scale computational homogenization: Trends and challenges

MGD Geers, VG Kouznetsova… - Journal of computational …, 2010 - Elsevier
In the past decades, considerable progress had been made in bridging the mechanics of
materials to other disciplines, eg downscaling to the field of materials science or upscaling to …

A computational library for multiscale modeling of material failure

H Talebi, M Silani, SPA Bordas, P Kerfriden… - Computational …, 2014 - Springer
We present an open-source software framework called PERMIX for multiscale modeling and
simulation of fracture in solids. The framework is an object oriented open-source effort …

Homogenization methods and multiscale modeling: nonlinear problems

MGD Geers, VG Kouznetsova… - Encyclopedia of …, 2017 - Wiley Online Library
This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …

A review of the FE2 method for composites

K Raju, TE Tay, VBC Tan - Multiscale and Multidisciplinary Modeling …, 2021 - Springer
Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …

Multiscale continuous and discontinuous modeling of heterogeneous materials: a review on recent developments

VP Nguyen, M Stroeven, LJ Sluys - Journal of Multiscale Modelling, 2011 - World Scientific
This paper reviews the recent developments in the field of multiscale modelling of
heterogeneous materials with emphasis on homogenization methods and strain localization …

Hierarchical multiscale crystal plasticity framework for plasticity and strain hardening of multi-principal element alloys

Q Fang, W Lu, Y Chen, H Feng, PK Liaw, J Li - Journal of the Mechanics …, 2022 - Elsevier
The multi-principal element alloys (MPEAs) exhibit the unprecedented combinations of the
excellent mechanical properties, especially high strength and good ductility. However, the …

FE2 computational homogenization for the thermo-mechanical analysis of heterogeneous solids

I Özdemir, WAM Brekelmans, MGD Geers - Computer Methods in Applied …, 2008 - Elsevier
This paper presents a two-scale thermo-mechanical analysis framework for heterogeneous
solids based on a computational homogenization technique. The evolution of the …

Evaluation of different computational modelling strategies for the analysis of low strength masonry structures

V Giamundo, V Sarhosis, GP Lignola, Y Sheng… - Engineering …, 2014 - Elsevier
Masonry is a composite material characterized by a large variability of its constituent
materials. The materials used, the quality of the bond and variations in the standard of …

Continuum damage model for orthotropic materials: Application to masonry

L Pelà, M Cervera, P Roca - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
This paper contributes to the formulation of continuum damage models for orthotropic
materials under plane stress conditions. Two stress transformation tensors, related to tensile …