A new constitutive model for crystal plasticity with deformation twinning

Tomohiro Ishida, Shinpei Shibutani, Junji Kato, Kenjiro Terada, Takashi Kyoya, Daisuke Ando, Junichi Koike

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A thermodynamics-based constitutive model, which accounts for both crystallographic slip and deformation twinning, is developed for a single crystal of hcp metals within the framework of finite crystal plasticity. While the volume fractions of stress-free twin deformations are introduced as internal variables, the free-energy involves the bulk energy of separate phases and the surface energy at twin interfaces, which are introduced as functions of the internal variables, in addition to the standard hardening-related energy in crystal plasticity framework. After the formulation is described in detail, a series of numerical examples is presented to verify the performance of the proposed model in predicting the deformation twinning, the successive deformation process and the twinning-induced stress responses. The results are studied with reference to the theoretical consequences and the experimental results reported in the literature.

Original languageEnglish
Number of pages1
JournalTransactions of the Japan Society for Computational Engineering and Science
Publication statusPublished - 2012 Jan 1


  • Crystal plasticity
  • Deformation twining
  • FEM
  • HCP metals
  • Lattice-reorientation
  • Thermodynamics

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)


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