Bridging the scales in nano engineering and science

By Jacob Fish. 2006

170 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2e9732412c709d11e6196ee9b19be9a2ac6e69a1

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Citations in the corpus

Routes for Efficient Computational Homogenization of Nonlinear Materials Using the Proper Generalized Decompositions (2010, background): “These approaches belong to the more general category of multiscale methods, in which it is usually distinguished two main families of approaches, namely hierarchical and concurrent, see for example [15, 18, 29].”
Historical review of internal state variable theory for inelasticity (2010, methodology): “Reviews have been given on these methods by Phillips (2001), Liu et al. (2006b), Fish (2006), de Pablo and Curtin (2007).”
On the application of the Arlequin method to the coupling of particle and continuum models (2008, background): “Multiscale modeling at the nanoscale has been the focus of many investigations and discussion in recent years (see, e.g., survey articles [ 11 ,13]).”
Lattice Discrete Particle Model (LDPM) for failure behavior of concrete. I: Theory (2011, background): “In the recent past, publications proposing new multiscale theories have flourished, especially for modeling nano-composite materials and atomistic and molecular systems [23].”
Structural solution using molecular dynamics: Fundamentals and a case study of epoxy-silica interface (2011, methodology): “It is noted that the FEM Fig.”
A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, background): “In the literature, the term “concurrent” mostly refers to solution methods where different scales/methodologies are used in different subvolumes of the global domain [48].”
Lattice Element Models and Their Peculiarities (2017, background): “Multi-scale theories can be found in the literature, even for modelling nano-composite materials and atomistic and molecular systems [43].”