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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 …
Multiscale modeling in food engineering
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 …
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
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 …
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
Mori–Zwanzig formalism as a practical computational tool
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 …
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
Intercalation-induced stress and heat generation inside Li-ion battery cathode particles
under potentiodynamic control are simulated in this paper. We combined analyses of …
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
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 …
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
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 …
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
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 …
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?
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 …
resources to renewables in the coming decades. Aside from being a significant source of …
Uniformly accurate machine learning-based hydrodynamic models for kinetic equations
A framework is introduced for constructing interpretable and truly reliable reduced models
for multiscale problems in situations without scale separation. Hydrodynamic approximation …
for multiscale problems in situations without scale separation. Hydrodynamic approximation …