| PREDICTION OF YIELD FUNCTIONS ON BCC POLYCRYSTALS |
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| 作者姓名： | Huang Mojia Fu Mingfu Zheng Chaomei |
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| 作者单位： | Huang Mojia Fu Mingfu (Institute of Engineering Mechanics，Nanchang University，Nanchang 330029，China) Zheng Chaomei (Computer Center，Nanchang University，Nanchang 330029，China) |
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| 基金项目： | 中国科学院资助项目;江西省自然科学基金 |
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| 摘 要： | 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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| 关 键 词： | 曲率函数 ODF 体心立方晶格 各向异性 |
| 收稿时间： | 2004-05-28 |
| 修稿时间： | 2005-10-31 |
PREDICTION OF YIELD FUNCTIONS ON BCC POLYCRYSTALS |
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| Huang Mojia Fu Mingfu Zheng Chaomei.PREDICTION OF YIELD FUNCTIONS ON BCC POLYCRYSTALS[J].Acta Mechanica Solida Sinica,2006,19(1):75-85. |
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| Authors: | Huang Mojia Fu Mingfu Zheng Chaomei |
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| Institution: | 1. College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China;2. Electron Microscopy Center of Chongqing University, Chongqing University, Chongqing 400044, China;3. Department of Mechanical Engineering, KU Leuven, Leuven, Belgium |
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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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| Keywords: | yield function the ODF BCC polycrystal single BCC crystals anisotropy |
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