Multiscale modeling and characterization of granular matter: From grain kinematics to continuum mechanics

2011 ◽  
Vol 59 (2) ◽  
pp. 237-250 ◽  
Author(s):  
J.E. Andrade ◽  
C.F. Avila ◽  
S.A. Hall ◽  
N. Lenoir ◽  
G. Viggiani
Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 892
Author(s):  
Marcelo Epstein

The constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual constituents. The incorporation of these two groupoids within a single double groupoid is proposed as a viable mathematical framework for a unified formulation of this and similar kinds of problems in continuum mechanics.


2006 ◽  
Vol 978 ◽  
Author(s):  
Gregory A. Voth

AbstractA multiscale theoretical and computational methodology will be presented for describing liquid state, biomolecular, and nanoparticle systems across multiple length- and time-scales. The approach provides an interface between atomistic molecular simulations, mesoscale dynamics, and continuum mechanics. The underlying methodology couples atomistic-level simulations with mesoscale simulations which, in turn, can be bridged to continuum-level modeling where necessary. A new and systematic multiscale coarse-graining strategy for linking the atomistic-scale interactions to the mesoscale will be the primary focus of the presentation. Applications of the overall methodology will be given.


Biopolymers ◽  
2010 ◽  
Vol 93 (11) ◽  
pp. 936-951 ◽  
Author(s):  
Lili X. Peng ◽  
Anthony Ivetac ◽  
Akshay S. Chaudhari ◽  
Sang Van ◽  
Gang Zhao ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document