IMECH-IR  > 非线性力学国家重点实验室
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
Corresponding AuthorLei, Wei-Sheng(leiws2008@gmail.com) ; Zhang, Peilei(peilei@sues.edu.cn) ; Yu, Zhishui(yu_zhishui@163.com) ; Qian, Guian(qianguian@imech.ac.cn)
Source PublicationCERAMICS INTERNATIONAL
2020-09-01
Volume46Issue:13Pages:20751-20768
ISSN0272-8842
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.
KeywordStrength Ceramics Size effect Weibull statistics Ordinary Weibull distribution function Weibull statistical fracture theory
DOI10.1016/j.ceramint.2020.05.024
Indexed BySCI ; EI
Language英语
WOS IDWOS:000556283900016
WOS KeywordCLEAVAGE FRACTURE ; PROBABILITY ; FAILURE ; STRESS ; MODEL
WOS Research AreaMaterials Science
WOS SubjectMaterials Science, Ceramics
Funding ProjectNational Natural Science Foundation of China[11872364] ; Chinese Academy of Science (CAS) Pioneer Hundred Talents Program
Funding OrganizationNational Natural Science Foundation of China ; Chinese Academy of Science (CAS) Pioneer Hundred Talents Program
Classification一类
Ranking1
ContributorLei, Wei-Sheng ; Zhang, Peilei ; Yu, Zhishui ; Qian, Guian
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/84869
Collection非线性力学国家重点实验室
Affiliation1.1786 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.
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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