| MMC分维数测定与非线性动力过程分析 |
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| 引用本文： | 施绍裘,黄德进.MMC分维数测定与非线性动力过程分析[J].宁波大学学报(理工版),2000,13(4):22-25. |
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| 作者姓名： | 施绍裘 黄德进 |
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| 作者单位： | 宁波大学工学院，浙江宁波 315211 |
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| 摘 要： | 对MMC微裂纹分布的SEM照片连续地变换网格尺度，求得了MMC微裂纹分布的自相似分形维数，D=1．56．对大塑性变形后MMC分形重建后的σ(t)时间序列进行了非线性动力学过程分析，找到了相空间吸引子积分关联函数，确定了该MMC微裂纹演化存在吸引子，其分形关联维数值1．48与实验测得自相似分形维数值1．56接近。
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| 关 键 词： | MMC 微裂纹构形 分维数 非线性动力过程 |
| 文章编号： | 1001-5132(2000)04-0022-04 |
| 修稿时间： | 2000年10月25 |
The Measurement for Fractal Dimension of Aluminium Matrix Composite and the Analysis of Nonlinear Dynamical Process |
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| SHI Shao-qiu,HUANG De-jing.The Measurement for Fractal Dimension of Aluminium Matrix Composite and the Analysis of Nonlinear Dynamical Process[J].Journal of Ningbo University(Natural Science and Engineering Edition),2000,13(4):22-25. |
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| Authors: | SHI Shao-qiu HUANG De-jing |
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| Abstract: | By changing the grid scale of SEM photo of the micro-cracks configuration of MMC,its fractal dimension of self-similarity was obtained, D = 1.56. The nonlinear dynamical processof the fractal reconstructed σ(t) time series of MMC after large plastic deformation wasanalyzed. By using the G-P algorithm, it is found that there is a correlation function of theattractor and the dimensionality of the attractor is 1.48, which coincides with the experimentalvalue 1.56 approximately. |
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| Keywords: | MMC micro-cracks configuration fractal dimension nonlinear dynamical process |
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