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Visualization Friday, 9/6/2002

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Hedgehog Method

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MATLAB functions plot Example x = 0:pi/100:2*pi; y = sin(x); plot(x,y)

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Bean-Bag Method

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**MATLAB functions meshgrid mesh Examples:**

[x,y]=meshgrid(-10:10,-10:10); [r,theta]=meshgrid(0:5:10,0:pi/20:pi); z=sqrt(x.^2+y.^2); mesh(x,y,z)

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**Sphere Scanning theta = linspace(0,2*pi,ntheta);**

phi = linspace(0,pi,nphi); [x,y] = meshgrid( theta, phi ); for i=1:nphi for j=1:ntheta n = [ sin(phi(i))*cos(theta(j)), ... sin(phi(i))*sin(theta(j)), ... cos(phi(i)) ]'; x(i,j) = … … ; y(i,j) = … … ; z(i,j) = … … ; end mesh(x,y,z)

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Hole Problem

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Stress Field Tangential stress Radial stress

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Cymbals

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**Stress Field Around Crack Tip**

Thin plate

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**Von Mises’ Yield Criterion**

Perfect plasticity

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Crack Tip Stress Field

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Mountain Stream A mountain stream comes trickling in the sunlight down the hill, And gathers volume until it has strength to run the mill; It happily continues then, upon its useful way, Turns other mills still further down, until it joins the bay.

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**Dislocation Emissions**

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