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A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials
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 …
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 …
materials to other disciplines, eg downscaling to the field of materials science or upscaling to …
Aspects of computational homogenization at finite deformations: a unifying review from Reuss' to Voigt's bound
The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …
computational homogenization at finite strains, thereby elaborating on computational …
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 …
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …
A review of the FE2 method for composites
Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …
A numerical two-scale homogenization scheme: the FE2-method
J Schröder - Plasticity and beyond: microstructures, crystal-plasticity …, 2014 - Springer
A wide class of micro-heterogeneous materials is designed to satisfy the advanced
challenges of modern materials occurring in a variety of technical applications. The effective …
challenges of modern materials occurring in a variety of technical applications. The effective …
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 …
solids based on a computational homogenization technique. The evolution of the …
A direct fe2 method for concurrent multilevel modeling of piezoelectric materials and structures
Multiscale piezoelectric materials and structures have shown their promising potential of
applications in sensor, energy harvester, actuator and so on. However, the large complexity …
applications in sensor, energy harvester, actuator and so on. However, the large complexity …
Novel boundary conditions for strain localization analyses in microstructural volume elements
EWC Coenen, VG Kouznetsova… - International Journal for …, 2012 - Wiley Online Library
Multi‐scale modeling frequently relies on microstructural representative volume elements
(RVEs) on which macroscopic deformation is imposed through kinematical boundary …
(RVEs) on which macroscopic deformation is imposed through kinematical boundary …
Mechanical characterization of structured sheet materials
We propose a comprehensive approach to characterizing the mechanical properties of
structured sheet materials, ie, planar rod networks whose mechanics and aesthetics are …
structured sheet materials, ie, planar rod networks whose mechanics and aesthetics are …