| 粉末注射成型的分数微分模型及其数值模拟 |
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| 引用本文： | 吴红英,石毅,彭伟.粉末注射成型的分数微分模型及其数值模拟[J].邵阳学院学报(自然科学版),2013(1):17-20. |
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| 作者姓名： | 吴红英 石毅 彭伟 |
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| 作者单位： | 怀化学院数学系 |
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| 基金项目： | 湖南省研究性学习与创新实验项目(2010年度) |
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| 摘 要： | 在Hele—Shaw近似下采用有限元／有限差分混合法求解粉末注射成型充填过程．首次提出利用分数微分替换运动方程中的经典导数，压力场方程演变为线性方程，数值计算代价显著减少．数值实验表明该方法有效．
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| 关 键 词： | 粉末注射成形 分数微分 有限元 数值模拟 控制体积 |
Fractional Differential Model of Powder Injection Filling Process and Numerical Simulation |
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| WU Hong-Ying,SHI Yi,PENG Wei.Fractional Differential Model of Powder Injection Filling Process and Numerical Simulation[J].Journal of Shaoyang University:Science and Technology,2013(1):17-20. |
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| Authors: | WU Hong-Ying SHI Yi PENG Wei |
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| Institution: | (Department of Mathematics,Huaihua University,Huaihua,hunan 418008,China) |
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| Abstract: | A FEM/ FDM scheme is used to solve the powder injection molding under the Hele Shaw approximation. Instead of classical derivatives, we use the fractional differentiation to model the motion equation, which makes the pressure equation become linear, so the computational cost is decreased much. Numerical examples show efficiency of the proposted method. |
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| Keywords: | powder injection molding fractional differentiaton FEM/FDM numerical simulation control volume |
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