Non-linear large deformation manufactured solutions

1
Non-linear large deformation manufactured
solutions
Representative C-SAFE problem Stair-stepped
surface and non-exact domain cover
Edges of GIMP particles remain aligned domain
is covered exactly
Colored by von Mises stress
Normal stress Hoop
stress
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Integration Options

• Temporal Integration
• USL Update Stress Last
• USF Update stress First
• CD Centered-Difference

• Shape functions
• MPM Piecewise Linear
• UGIMP Constant Particle Size
• GIMP Variable Particle Size

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Unit Square Temporal Convergence
Best combination is CD-GIMP Most methods display
zero temporal convergence until stability is
lost this indicates that spatial error dominates
the results.
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Unit Square Spatial Convergence
CD-GIMP is 2nd order when domain is exactly
covered
5
Ring Spatial Convergence
CD-GIMP is 1st order when domain cover is not
exact