scholarly journals Long-range Stress Redistribution Resulting from Damage in Heterogeneous Media

2004 ◽  
pp. 1841-1852
Author(s):  
Yilong Bai ◽  
Zhaoke Jia ◽  
Xiaohui Zhang ◽  
Fujiu Ke ◽  
Mengfen Xia
Keyword(s):  
Long Range ◽  
Heterogeneous Media ◽  
Stress Redistribution

scholarly journals Long-range Stress Redistribution Resulting from Damage in Heterogeneous Media

2004 ◽  
Vol 161 (9-10) ◽  
Author(s):  
Yilong Bai ◽  
Zhaoke Jia ◽  
Xiaohui Zhang ◽  
Fujiu Ke ◽  
Mengfen Xia
Keyword(s):  
Long Range ◽  
Heterogeneous Media ◽  
Stress Redistribution

scholarly journals Localization of Elastic Waves in Heterogeneous Media with Off-Diagonal Disorder and Long-Range Correlations

2005 ◽  
Vol 94 (16) ◽  
Author(s):  
F. Shahbazi ◽  
Alireza Bahraminasab ◽  
S. Mehdi Vaez Allaei ◽  
Muhammad Sahimi ◽  
M. Reza Rahimi Tabar
Keyword(s):  
Long Range ◽  
Elastic Waves ◽  
Heterogeneous Media ◽  
Long Range Correlations ◽  
Diagonal Disorder

Anomalous dispersion in chemically heterogeneous media induced by long-range disorder correlation

2012 ◽  
Vol 695 ◽  
pp. 366-389 ◽  
Author(s):  
D. Bolster ◽  
M. Dentz
Keyword(s):  
Random Walk ◽  
Long Range ◽  
Large Scale ◽  
Heterogeneous Media ◽  
Stochastic Modelling ◽  
Anomalous Dispersion ◽  
Retardation Factor ◽  
The Family ◽  
Spatially Varying ◽  
The Impact

AbstractWe study transport in an idealized porous medium characterized by a spatially varying retardation factor, which models linear instantaneous chemical adsorption of a solute. Using a stochastic modelling approach, we study the impact of disorder correlation on the large-scale dispersion behaviour. We consider short, long-range and intermediate-range disorder correlations, and demonstrate that (truncated) power-law correlation causes anomalous dispersion, even in the presence of weak heterogeneity. We identify different preasymptotic and asymptotic regimes of anomalous dispersion that shed new light on the disorder and local-scale transport mechanisms leading to non-Fickian behaviour. The analytical results are complemented by numerical random walk particle tracking simulations, which are found to be in good agreement with the derived dispersion behaviour. We conclude the paper by deriving an effective transport equation for this system, which can be shown to be tied to the family of continuous-time random walk models.

Short- and long-range contributions to the ordering of rigid planar solutes dissolved in a 55wt% ZLI1132 + EBBA nematic mixture

1997 ◽  
Vol 92 (6) ◽  
pp. 1039-1050 ◽  
Author(s):  
G. CELEBRE ◽  
G. DE LUCA ◽  
A. FERRARINI
Keyword(s):  
Long Range
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