| Statistics of ceramic strength: Use ordinary Weibull distribution function or Weibull statistical fracture theory? | |
Lei, WS1; Zhang, PL2; Yu, ZS2; Qian GA(钱桂安)3
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| Corresponding Author | Lei, Wei-Sheng([email protected]) ; Zhang, Peilei([email protected]) ; Yu, Zhishui([email protected]) ; Qian, Guian([email protected]) |
| Source Publication | CERAMICS INTERNATIONAL
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| 2020-09-01 | |
| Volume | 46Issue:13Pages:20751-20768 |
| ISSN | 0272-8842 |
| Abstract | "Weibull statistics" for strength distribution analysis refers to either the ordinary Weibull distribution function or the Weibull statistical fracture theory. The ordinary Weibull distribution function is an empirical distribution function on an equal footing with other type of classical empirical distributions such as normal and log-normal distributions for fitting the statistical data of various random variables nonexclusive to materials strength. It has no explicit physical meaning and cannot be used for size scaling and prediction of strength. The Weibull statistical fracture theory is a weakest-link statistical fracture model for a solid with the strength distribution of an elemental volume being described by the ordinary Weibull distribution function. It has the capability of size scaling and prediction of strength for specimens with different geometries and different loading modes. The three-parameter Weibull statistical fracture theory in uniaxial flexure of prismatic beams is reformulated and validated by both numerical and real strength experiments of different ceramics. |
| Keyword | Strength Ceramics Size effect Weibull statistics Ordinary Weibull distribution function Weibull statistical fracture theory |
| DOI | 10.1016/j.ceramint.2020.05.024 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000556283900016 |
| WOS Keyword | CLEAVAGE FRACTURE ; PROBABILITY ; FAILURE ; STRESS ; MODEL |
| WOS Research Area | Materials Science |
| WOS Subject | Materials Science, Ceramics |
| Funding Project | National Natural Science Foundation of China[11872364] ; Chinese Academy of Science (CAS) Pioneer Hundred Talents Program |
| Funding Organization | National Natural Science Foundation of China ; Chinese Academy of Science (CAS) Pioneer Hundred Talents Program |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Lei, Wei-Sheng ; Zhang, Peilei ; Yu, Zhishui ; Qian, Guian |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/84869 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.1786 Duvall Dr, San Jose, CA 95130 USA; 2.Shanghai Univ Engn Sci, Sch Mat Engn, Shanghai 201620, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Lei, WS,Zhang, PL,Yu, ZS,et al. Statistics of ceramic strength: Use ordinary Weibull distribution function or Weibull statistical fracture theory?[J]. CERAMICS INTERNATIONAL,2020,46,13,:20751-20768.Rp_Au:Lei, Wei-Sheng, Zhang, Peilei, Yu, Zhishui, Qian, Guian |
| APA | Lei, WS,Zhang, PL,Yu, ZS,&钱桂安.(2020).Statistics of ceramic strength: Use ordinary Weibull distribution function or Weibull statistical fracture theory?.CERAMICS INTERNATIONAL,46(13),20751-20768. |
| MLA | Lei, WS,et al."Statistics of ceramic strength: Use ordinary Weibull distribution function or Weibull statistical fracture theory?".CERAMICS INTERNATIONAL 46.13(2020):20751-20768. |
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| Jp2020261.pdf（4403KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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