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 …

Multiscale modeling in food engineering

QT Ho, J Carmeliet, AK Datta, T Defraeye… - Journal of food …, 2013 - Elsevier
Since many years food engineers have attempted to describe physical phenomena such as
heat and mass transfer that occur in food during unit operations by means of mathematical …

Nonlinear modelling of cancer: bridging the gap between cells and tumours

JS Lowengrub, HB Frieboes, F **, YL Chuang, X Li… - …, 2009 - iopscience.iop.org
Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Mori–Zwanzig formalism as a practical computational tool

C Hijón, P Español, E Vanden-Eijnden… - Faraday …, 2010 - pubs.rsc.org
An operational procedure is presented to compute explicitly the different terms in the
generalized Langevin equation (GLE) for a few relevant variables obtained within Mori …

Intercalation-induced stress and heat generation within single lithium-ion battery cathode particles

X Zhang, AM Sastry, W Shyy - Journal of The Electrochemical …, 2008 - iopscience.iop.org
Intercalation-induced stress and heat generation inside Li-ion battery cathode particles
under potentiodynamic control are simulated in this paper. We combined analyses of …

A dynamic multi-timescale method for combustion modeling with detailed and reduced chemical kinetic mechanisms

X Gou, W Sun, Z Chen, Y Ju - Combustion and Flame, 2010 - Elsevier
A new on-grid dynamic multi-timescale (MTS) method is presented to increase significantly
the computation efficiency involving multi-physical and chemical processes using detailed …

Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties

G Stefanou, D Savvas, M Papadrakakis - Computer Methods in Applied …, 2017 - Elsevier
The linking of microstructure uncertainty with the random variation of material properties at
higher scales is of paramount importance in the framework of the stochastic finite element …

Determination of RVE size for random composites with local volume fraction variation

D Savvas, G Stefanou, M Papadrakakis - Computer Methods in Applied …, 2016 - Elsevier
In this paper, a novel computational procedure is proposed for the determination of the
representative volume element (RVE) size for random composites, which is the basis of …

Striving to translate shale physics across ten orders of magnitude: What have we learned?

Y Mehmani, T Anderson, Y Wang, SA Aryana… - Earth-Science …, 2021 - Elsevier
Shales will play an important role in the successful transition of energy from fossil-based
resources to renewables in the coming decades. Aside from being a significant source of …

Uniformly accurate machine learning-based hydrodynamic models for kinetic equations

J Han, C Ma, Z Ma, WE - Proceedings of the National Academy of …, 2019 - pnas.org
A framework is introduced for constructing interpretable and truly reliable reduced models
for multiscale problems in situations without scale separation. Hydrodynamic approximation …