I am currently working on developing a finite element crystal
plasticity model.I work to multiplicatively splitting the Deformation
gradient tensor and performing radial return mapping in single
crystals and all calculations are done for Rate-independent analysis.
I am encountering problem with the constitutive relation for single
crystals. Can anyone help me by suggesting some papers for such
analysis.I will be grateful to you if you can suggest me some reason
that may cause this problem.
Have you looked at :
Finite Plastic Deformation of Crystalline Solids
by K. S. Havner
# Publisher: Cambridge University Press; (March 1992)
# ISBN: 0521392454
Havner had a lot of interesting outlooks in his computational studies.
Maybe he addressed your problem.
I think that you will find that the polyaxial constitutive equations for
FCC crystals are likely to be non-existant or theoretical only.
Have you looked much at the older work on the plasticity and deformation
of FCC single crystals in uniaxial tension? In particular the
relationship between the flow mechanics or slip systems and relative
resolved shear stresses (from the crystal orientation relative to the
It sounds like it could be interesting work. It seems as if it is now a
challenging thing to do numerically.
The numerical technology may far exceed the micromechanical
understanding science, and result in GIGO situations.
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