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Acta Mechanica Solida Sinica

, Volume 19, Issue 1, pp 75–85 | Cite as

Prediction of yield functions on BCC polycrystals

  • Mojia Huang
  • Mingfu Fu
  • Chaomei Zheng
Article
  • 1 Downloads

Abstract

By the nonlinear optimization theory, we predict the yield function of single BCC crystals in Hill’s criterion form. Then we give a formula on the macroscopic yield function of a BCC polycrystal Ω under Sachs’ model, where the volume average of the yield functions of all BCC crystallites in Ω is taken as the macroscopic yield function of the BCC polycrystal. In constructing the formula, we try to find the relationship among the macroscopic yield function, the orientation distribution function (ODF), and the single BCC crystal’s plasticity. An expression for the yield stress of a uniaxial tensile problem is derived under Taylor’s model in order to compare the expression with that of the macroscopic yield function.

Key words

yield function the ODF BCC polycrystal single BCC crystals anisotropy 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Mojia Huang
    • 1
  • Mingfu Fu
    • 1
  • Chaomei Zheng
    • 2
  1. 1.Institute of Engineering MechanicsNanchang UniversityNanchangChina
  2. 2.Computer CenterNanchang UniversityNanchangChina

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