Stress intensity factors for a centrally cracked Brazilian disk under non-uniformly distributed pressure

被引:15
作者
Tang, Huaizi [1 ]
Huang, Jiuzhou [1 ]
He, Jinyuan [1 ]
Hua, Wen [1 ,2 ]
Dong, Shiming [1 ,2 ]
机构
[1] Sichuan Univ, Coll Architecture & Environm, Minist Educ, Key Lab Deep Underground Sci & Engn, Chengdu 610065, Peoples R China
[2] Sichuan Univ, Failure Mech & Engn Disaster Prevent & Mitigat, Key Lab Sichuan Prov, Chengdu 610065, Peoples R China
基金
中国国家自然科学基金;
关键词
MODE FRACTURE-TOUGHNESS; TENSILE-STRENGTH; SUGGESTED METHODS; FIELD; FRICTION; SHALE;
D O I
10.1016/j.tafmec.2021.103001
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
To simulate the real distribution of pressure on the specimen in the Brazilian test, non-uniform distribution is assumed to be the form of pressure distribution on the disk. The analytic solutions of the stress field for an uncracked Brazilian disk under several typical non-uniformly distributed pressures are obtained by the power series expansion method and mathematical method. Then the analytic solutions of the mode I and mode II stress intensity factors for a centrally cracked Brazilian disk under the same pressures are obtained by the weight function method. The results show that the influence of distribution form on stress intensity factors cannot be ignored for the case of large relative crack length and load distribution angle. The applicable ranges of the formulae to calculate stress intensity factors under concentrated force, uniformly and non-uniformly distributed pressure are given according to the analysis results. In addition, the loading conditions for pure mode I and II fracture are discussed when a disk with a central crack is subjected to non-uniformly distributed pressure.
引用
收藏
页数:11
相关论文
共 34 条
[1]  
Akazawa T., 1943, J JAPAN SOC CIVIL EN, V29, P777
[2]   On Brazilian disk test for mixed-mode I/II fracture toughness experiments of anisotropic rocks [J].
Aminzadeh, Ali ;
Fahimifar, Ahmad ;
Nejati, Morteza .
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2019, 102 :222-238
[3]  
Anderson - T.L., 1991, FRACTURE MECH FUNDAM
[4]  
ASTM, ASTM D3967-95a
[5]  
ATKINSON C, 1982, INT J FRACTURE, V18, P279
[6]   COMBINED MODE FRACTURE TOUGHNESS MEASUREMENT BY DISK TEST [J].
AWAJI, H ;
SATO, S .
JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 1978, 100 (02) :175-182
[7]   Size and Geometry Effects on Rock Fracture Toughness: Mode I Fracture [J].
Ayatollahi, M. R. ;
Akbardoost, J. .
ROCK MECHANICS AND ROCK ENGINEERING, 2014, 47 (02) :677-687
[8]   Mode II fracture study of rocks using Brazilian disk specimens [J].
Ayatollahi, M. R. ;
Sistaninia, M. .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2011, 48 (05) :819-826
[9]  
BIENIAWSKI ZT, 1978, INT J ROCK MECH MIN, V15, P99
[10]  
Carneiro F., 1943, P 5 M BRAZILIAN ASS, P126