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Prediction of yield functions on BCC polycrystals

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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.

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Authors and Affiliations

  1. Institute of Engineering Mechanics, Nanchang University, Nanchang, 330029, China

    Mojia Huang & Mingfu Fu

  2. Computer Center, Nanchang University, Nanchang, 330029, China

    Chaomei Zheng

Authors
  1. Mojia Huang
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  2. Mingfu Fu
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  3. Chaomei Zheng
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Additional information

Project supported by the National Natural Science Foundation of China (No.10562004), the Natural Science Foundation of Jiangxi (Nos.0450035 and 0512021), the Science Foundation of Jiangxi Educational Department (No.[2006]3) and the Oversea Returned Scholars Grant of China.

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Huang, M., Fu, M. & Zheng, C. Prediction of yield functions on BCC polycrystals. Acta Mech. Solida Sin. 19, 75–85 (2006). https://doi.org/10.1007/s10338-006-0609-5

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  • DOI: https://doi.org/10.1007/s10338-006-0609-5

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