| The influence of defects on the effective Young’s modulus of a defective solid |
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| 引用本文： | 沈伟,范群波,王富耻,马壮. The influence of defects on the effective Young’s modulus of a defective solid[J]. 中国物理 B, 2013, 0(4): 307-311 |
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| 作者姓名： | 沈伟 范群波 王富耻 马壮 |
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| 作者单位： | Central Iron and Steel Research Institute;School of Materials Science and Engineering, Beijing Institute of Technology |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 50801005) |
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| 摘 要： | It is difficult to establish structure-property relationships in a defective solid because of its inhomogeneous-geometry microstructure caused by defects. In the present research, the effects of pores and cracks on the Young’s modulus of a defective solid are studied. Based on the law of the conservation of energy, mathematical formulations are proposed to indicate how the shape, size, and distribution of defects affect the effective Young’s modulus. In this approach, detailed equations are illustrated to represent the shape and size of defects on the effective Young’s modulus. Different from the results obtained from the traditional empirical analyses, mixture law or statistical method, for the first time, our results from the finite element method (FEM) and strict analytical calculation show that the influence of pore radius and crack length on the effective Young’s modulus can be quantified. It is found that the longest crack in a typical microstructure of ceramic coating dominates the contribution of the effective Young’s modulus in the vertical direction of the crack.
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| 关 键 词： | defects effective Young’s modulus conservation of energy pore radius and crack length |
The influence of defects on the effective Young's modulus of a defective solid |
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| Shen Wei a , Fan Qun-Bo b , Wang Fu-Chi b , and Ma Zhuang. The influence of defects on the effective Young's modulus of a defective solid[J]. Chinese Physics B, 2013, 0(4): 307-311 |
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| Authors: | Shen Wei a Fan Qun-Bo b Wang Fu-Chi b Ma Zhuang |
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| Affiliation: | b) a) Central Iron and Steel Research Institute , Beijing 100081, China b) School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | It is difficult to establish structure-property relationships in a defective solid because of its inhomogeneous-geometry microstructure caused by defects. In the present research, the effects of pores and cracks on the Young's modulus of a defective solid are studied. Based on the law of the conservation of energy, mathematical formulations are proposed to indicate how the shape, size, and distribution of defects affect the effective Young's modulus. In this approach, detailed equations are illustrated to represent the shape and size of defects on the effective Young's modulus. Different from the results obtained from the traditional empirical analyses, mixture law or statistical method, for the first time, our results from the finite element method (FEM) and strict analytical calculation show that the influence of pore radius and crack length on the effective Young's modulus can be quantified. It is found that the longest crack in a typical microstructure of ceramic coating dominates the contribution of the effective Young's modulus in the vertical direction of the crack. |
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