Modelling Growth Morphologies on Different Length Scales

1992 ◽  
Vol 278 ◽  
Author(s):  
J. Iwan ◽  
D. Alexander ◽  
R.-F. Xiao ◽  
F. Rosenberger
Keyword(s):  
Monte Carlo ◽  
Surface Diffusion ◽  
Monte Carlo Model ◽  
Bulk Diffusion ◽  
Lamellar Spacing ◽  
Length Scale ◽  
Length Scales ◽  
Interface Kinetics ◽  
Diffusion Interface

AbstractMicroscopic morphologies of monocomponent and binary solids growing from melts and vapors are simulated with a Monte Carlo model that accounts for bulk diffusion, interface attachment and detachment kinetics and surface diffusion. The interplay between transport and interface kinetics on morphologies and its effect on microstructures including lamellar spacing, tilted lamellar and oscillatory structures is investigated. An important aspect of these models is the length scale of the simulation.

A hybrid continuum/kinetic Monte Carlo model for surface diffusion

2004 ◽  
Vol 365 (1-2) ◽  
pp. 66-72 ◽  
Author(s):  
S.P.A. Gill ◽  
P.E. Spencer ◽  
A.C.F. Cocks
Keyword(s):  
Monte Carlo ◽  
Surface Diffusion ◽  
Kinetic Monte Carlo ◽  
Monte Carlo Model

scholarly journals Subject-specific multiscale modeling of aortic valve biomechanics

2021 ◽  
Author(s):  
G. Rossini ◽  
A. Caimi ◽  
A. Redaelli ◽  
E. Votta
Keyword(s):  
Aortic Valve ◽  
Boundary Conditions ◽  
Narrow Range ◽  
Radial Strain ◽  
Length Scale ◽  
Length Scales ◽  
Anatomical Features ◽  
Wide Range ◽  
Subject Specific ◽  
Cell Strains

AbstractA Finite Element workflow for the multiscale analysis of the aortic valve biomechanics was developed and applied to three physiological anatomies with the aim of describing the aortic valve interstitial cells biomechanical milieu in physiological conditions, capturing the effect of subject-specific and leaflet-specific anatomical features from the organ down to the cell scale. A mixed approach was used to transfer organ-scale information down to the cell-scale. Displacement data from the organ model were used to impose kinematic boundary conditions to the tissue model, while stress data from the latter were used to impose loading boundary conditions to the cell level. Peak of radial leaflet strains was correlated with leaflet extent variability at the organ scale, while circumferential leaflet strains varied over a narrow range of values regardless of leaflet extent. The dependency of leaflet biomechanics on the leaflet-specific anatomy observed at the organ length-scale is reflected, and to some extent emphasized, into the results obtained at the lower length-scales. At the tissue length-scale, the peak diastolic circumferential and radial stresses computed in the fibrosa correlated with the leaflet surface area. At the cell length-scale, the difference between the strains in two main directions, and between the respective relationships with the specific leaflet anatomy, was even more evident; cell strains in the radial direction varied over a relatively wide range ($$0.36-0.87$$ 0.36 - 0.87 ) with a strong correlation with the organ length-scale radial strain ($$R^{2}= 0.95$$ R 2 = 0.95 ); conversely, circumferential cell strains spanned a very narrow range ($$0.75-0.88$$ 0.75 - 0.88 ) showing no correlation with the circumferential strain at the organ level ($$R^{2}= 0.02$$ R 2 = 0.02 ). Within the proposed simulation framework, being able to account for the actual anatomical features of the aortic valve leaflets allowed to gain insight into their effect on the structural mechanics of the leaflets at all length-scales, down to the cell scale.

Monte Carlo model for describing charge transfer in irradiated CCDs

1998 ◽  
Author(s):  
Dennis J. Gallagher ◽  
Raymond Demara ◽  
Gary Emerson ◽  
Wayne W. Frame ◽  
Alan W. Delamere
Keyword(s):  
Monte Carlo ◽  
Charge Transfer ◽  
Monte Carlo Model

Monte Carlo model of multi-site adsorption

1985 ◽  
Vol 8 (7) ◽  
pp. 364-365 ◽  
Author(s):  
J. Sedláček ◽  
L. Nondek
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Model
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