scholarly journals Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods

2015 ◽  
Vol 4 (1) ◽  
pp. 41-75 ◽  
Author(s):  
I. G. Graham ◽  
R. Scheichl ◽  
E. Ullmann
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Monte Carlo ◽  
Monte Carlo Methods ◽  
Mixed Finite Element ◽  
Multilevel Monte Carlo ◽  
Element Analysis

Effect of agglomeration and dispersion on the elastic properties of polymer nanocomposites: A Monte Carlo finite element analysis

2016 ◽  
Vol 58 (3) ◽  
pp. 269-279 ◽  
Author(s):  
Hassan S. Hedia ◽  
Saad M. Aldousari ◽  
Ahmed K. Abdellatif ◽  
Gamal S. Abdelhaffez
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Monte Carlo ◽  
Polymer Nanocomposites ◽  
Elastic Properties ◽  
Element Analysis

Probing the Instability of a Cluster of Slip Bonds Upon Cyclic Loads With a Coupled Finite Element Analysis and Monte Carlo Method

2014 ◽  
Vol 81 (11) ◽  
Author(s):  
Xiaofeng Chen ◽  
Bin Chen
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Failure Modes ◽  
Underlying Mechanism ◽  
Cyclic Stretch ◽  
Cyclic Loads ◽  
Element Analysis ◽  
The Stability

Cells are subjected to cyclic loads under physiological conditions, which regulate cellular structures and functions. Recently, it was demonstrated that cells on substrates reoriented nearly perpendicular to the stretch direction in response to uni-axial cyclic stretches. Though various theories were proposed to explain this observation, the underlying mechanism, especially at the molecular level, is still elusive. To provide insights into this intriguing observation, we employ a coupled finite element analysis (FEA) and Monte Carlo method to investigate the stability of a cluster of slip bonds upon cyclic loads. Our simulation results indicate that the cluster can become unstable upon cyclic loads and there exist two characteristic failure modes: gradual sliding with a relatively long lifetime versus catastrophic failure with a relatively short lifetime. We also find that the lifetime of the bond cluster, in many cases, decreases with increasing stretch amplitude and also decreases with increasing cyclic frequency, which appears to saturate at high cyclic frequencies. These results are consistent with the experimental reports. This work suggests the possible role of slip bonds in cellular reorientation upon cyclic stretch.

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