Simulation in Materials Summary

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Simulation in MaterialsSummary
Friday, 12/6/2002
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MATLAB programming
Visualization Stress matrix visualization Stres
s field visualization Color expression Simulatio
n methods Atomistic simulation Brownian
movement Molecular dynamics (MD) Monte Carlo
method (MC) Continuum Simulation Material
Point Method (MPM) Finite Element Method (FEM)
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Visualization
Stress field visualization hole under
stretching crack tip Stress matrix
visualization hedgehog for 2D stress
matrix bean-bag for 3D stress matrix Color
expression displacement distribution in FEM
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Stress Distribution Visualization
Stress distribution around a hole
Crack tip stress distribution
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Hedgehog Method
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Bean-Bag Method
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Visualization of FEM Results
Pixel The smallest image-forming unit of a video
display.
Displacement field
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Atomistic Simulation
Brownian movement Molecular dynamics (MD) Monte
Carlo method (MC)
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Extension of Random Walk
This model is a two-dimensional extension of a
random walk. Displayed is the territory covered
by 500 random walkers. As the number of walkers
increases the resulting interface becomes more
smooth.
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Extension of particles from one room to two rooms
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Monte Carlo Method
1. Current configuration C(n)
2. Generate a trial configuration by selecting an
atom at random and move it.
3. Calculate the change in energy for the trial
configuration, DU.
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Essence of MD
External forces
Internal forces
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Continuum Simulation
Material Point Method (MPM) Finite Element Method
(FEM)
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MPM
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FEM