| 泛形裂面构造及其复杂度 |
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| 引用本文： | 李竟艳,欧卓成,巨一博,段卓平,黄风雷.泛形裂面构造及其复杂度[J].北京理工大学学报,2016,36(S1):166-169. |
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| 作者姓名： | 李竟艳 欧卓成 巨一博 段卓平 黄风雷 |
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| 作者单位： | 北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081 |
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| 基金项目： | 国家自然科学基金资助项目（11221202） |
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| 摘 要： | 基于真实材料物理性质的非均匀特征，提出了一个简单的统计泛形裂纹扩展模型，用以描述脆性材料中泛形裂纹（或断裂面）构形，并采用计盒维数方法确定其复杂度.其中，假设裂纹沿最小能量耗散（依次按最小强度、最短路径、最小偏折角判定）方向扩展，且材料性质服从Weibull分布.计算得到的泛形裂纹构形的复杂度结果与实验结果吻合较好.进一步分析表明，泛形裂纹构形的复杂度可由材料性质的Weibull分布参数确定，而与泛形裂纹构形的随机性或涨落无关.
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| 关 键 词： | 泛形裂纹 复杂度 Weibull分布 脆性材料 |
| 收稿时间： | 2016/3/26 0:00:00 |
Configuration of a Ubiquitiformal Crack and its Complexity |
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| LI Jing-yan,OU Zhuo-cheng,JU Yi-bo,DUAN Zhuo-ping and HUANG Feng-lei.Configuration of a Ubiquitiformal Crack and its Complexity[J].Journal of Beijing Institute of Technology(Natural Science Edition),2016,36(S1):166-169. |
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| Authors: | LI Jing-yan OU Zhuo-cheng JU Yi-bo DUAN Zhuo-ping and HUANG Feng-lei |
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| Affiliation: | State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China and State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Based on the heterogeneity of real materials, a simple statistical model for the ubiquitiformal cracks extension was proposed to describe the configuration of aubiquitiformal crack (or the fracture surface) in brittle materials, and then the complexity of the ubiquitiformal crack was obtained by the box counting dimension. In the present model, it is assumed that the crack propagates always in the direction of the minimum dissipation of energy (successively estimated by the minimum strength, the minimum distance andthe minimum angle) and that the material properties obey the Weibull distribution. The numerical results of the complexity of the ubiquitiformal crack are found to be in good agreement with previous experimental data. Furthermore, it is also found that the complexity can be determined by the Weibull distribution parameters and be independent of the randomness or fluctuation of the ubiquitiformal crack configuration. |
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| Keywords: | ubiquitiformal crack complexity Weibull distribution brittle materials |
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