Some Matlab codes on Matlab Central Two-yield elastoplasticity solver Provided Matlab software demonstrates two-yield elastoplasticity quasi-static calculation. Theory and numerics can be found in Jan Valdman's PhD thesis: Mathematical and Numerical Analysis of
Elastoplastic Material with Multi-Surface Stress-Strain Relation submited
at Christian-Albrechts-University of
Kiel, and published at Dissertation.de
Verlag in Berlin in 2002 under ISBN 3-89825-501-8. Carsten Carstensen,
Martin Brokate,
Jan Valdman, A quasi-static boundary value problem in multi-surface elastoplasticity. II: Numerical solution. Math. Methods Appl. Sci. 28, No.8, 881-901 (2005), Antonio Orlando, Carsten Carstensen, Jan Valdman, A convergent adaptive finite element method for the primal problem of elastoplasticity. Int. J. Num. Meth. in Engineering 67, No. 13, 1851-1887 ( 2006). I will be happy to get any comments/suggestion on Jan.Valdman@google.com. Two animations from the solver (colors meaning: black - elastic zone, brown - first plastic zone, light yellow - second plastic zone):
Animation 1: Time evolution of 2D two-yield beam Animation 2: ZZ space adaptivity withing one time step Software development:
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