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Visualization. Friday, 9/6/2002. Hedgehog Method. MATLAB functions. plot. Example x = 0:pi/100:2*pi; y = sin(x); plot(x,y). Bean-Bag Method. 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);

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  1. Visualization Friday, 9/6/2002

  2. Hedgehog Method

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

  4. Bean-Bag Method

  5. 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)

  6. 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 end mesh(x,y,z)

  7. Hole Problem

  8. Stress Field Tangential stress Radial stress

  9. Cymbals

  10. Stress Field Around Crack Tip Thin plate

  11. Von Mises’ Yield Criterion Perfect plasticity

  12. Crack Tip Stress Field

  13. 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.

  14. Dislocation Emissions

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