A self consistent approach of the large deformation polycrystal viscoplasticity

A. Molinari, G. R. Canova, Said Ahzi

Research output: Contribution to journalArticle

733 Citations (Scopus)

Abstract

A large deformation viscoplastic polycrystal theory is formulated. It is restricted to loading conditions since elasticity is entirely neglected. The single crystal behavior is based on crystallographic slip, and the slip rate is a non-linear function of the resolved shear stress. The time independent plasticity is obtained as a limit when the rate sensitivity tends to zero. The polycrystal behavior is obtained from the single crystal constitutive relation by solving integral equations derived from the field equations. A self-consistent approach is developed, where each grain is assumed to be a single ellipsoidal inclusion in a homogeneous equivalent medium. An interaction formula is derived and the local strain rates are calculated by resolving a nonlinear system of equations. Applications to texture predictions in tension, compression, rolling and torsion are finally considered.

Original languageEnglish
Pages (from-to)2983-2994
Number of pages12
JournalActa Metallurgica
Volume35
Issue number12
DOIs
Publication statusPublished - 1987
Externally publishedYes

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Viscoplasticity
Polycrystals
Single crystals
Torsional stress
Integral equations
Plasticity
Shear stress
Nonlinear systems
Strain rate
Elasticity
Textures

ASJC Scopus subject areas

  • Engineering(all)

Cite this

A self consistent approach of the large deformation polycrystal viscoplasticity. / Molinari, A.; Canova, G. R.; Ahzi, Said.

In: Acta Metallurgica, Vol. 35, No. 12, 1987, p. 2983-2994.

Research output: Contribution to journalArticle

Molinari, A. ; Canova, G. R. ; Ahzi, Said. / A self consistent approach of the large deformation polycrystal viscoplasticity. In: Acta Metallurgica. 1987 ; Vol. 35, No. 12. pp. 2983-2994.
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