Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Large strain anisotropic plasticity including effects of plastic spin

Francisco Javier Montánsa and Klaus-Jürgen Batheb,*
aUniversidad de Castilla-La Mancha, Escuela Técnica Superior de Ingenieros Industriales, E13071-Ciudad Real, Spain bMassachusetts Institute of Technology, Mechanical Engineering Department, Cambridge, MA 02139, USA

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ABSTRACT
A constitutive theory for orthotropic materials is briefly summarized. The constitutive theory allows for anisotropy of the elastic response and anisotropy resulting from both the yield function and the kinematic hardening. The formulation also includes a constitutive theory, thermodynamically consistent, for the plastic spin and the re-orientation of the anisotropy properties towards a more favorable position from a thermodynamic point of view. The model is formulated in terms of the Lee decomposition and Hencky strain measures. A numerical example to illustrate the model is presented.

Keywords:  Anisotropic plasticity; Large strains; Plastic spin; Logarithmic strains; Lattice rotation

* Corresponding author. Tel.: +1 (617) 253 6645; Fax: +1 (617) 923 3408; E-mail: kjb@mit.edu