Application of a Variational Self-Consistent Procedure to the Prediction of Deformation Textures in Polycrystals

  • Pierre Gilormini
  • Yi Liu
  • Pedro Ponte Castañeda
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 114)


A fundamental problem in the mechanics of materials is the computation of the macroscopic response of polycrystalline aggregates from the properties of their constituent single-crystal grains and the microstructure. In this paper, the nonlinear homogenization method of deBotton and Ponte Castañeda is used to compute “variational” self-consistent estimates for the effective behavior of polycrystals. Earlier papers have detailed the “instantaneous” mechanical response of polycrystals, but the present study focusses on the evolution the crystallographic texture predicted by this procedure.


polycrystals textures variational procedure self-consistent model 


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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Pierre Gilormini
    • 1
  • Yi Liu
    • 2
  • Pedro Ponte Castañeda
    • 2
  1. 1.Laboratoire de Mécanique et TechnologieENS de Cachan-CNRS-Université Paris 6CachanFrance
  2. 2.Mechanical Engineering and Applied MechanicsUniversity of PennsylvaniaPhiladelphiaUSA

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