圆孔内单边（或双边）裂纹平台巴西圆盘应力强度因子的全面标定

周妍; 张财贵; 杨井瑞; 王启智

doi:10.3879/j.issn.1000-0887.2015.01.002

圆孔内单边（或双边）裂纹平台巴西圆盘应力强度因子的全面标定

doi: 10.3879/j.issn.1000-0887.2015.01.002

¹四川大学土木工程及应用力学系, 成都 610065;²水力学及山区河流开发保护国家重点实验室(四川大学),成都 610065

基金项目: 国家自然科学基金（51179115）;教育部博士点基金（20130181130013）

详细信息

作者简介:
周妍（1989—），女，辽宁阜新人，硕士生(E-mail: 419626681@qq.com)；王启智（1946—），男，浙江嘉兴人，教授，博士生导师(通讯作者. E-mail: qzwang2004@163.com).

中图分类号: O242.21; O346.1⁺¹
计量
- 文章访问数: 1467
- HTML全文浏览量: 232
- PDF下载量: 888
- 被引次数: 0
出版历程
- 收稿日期: 2014-03-25
- 刊出日期: 2015-01-15

Comprehensive Calibration of the Stress Intensity Factor for the Holed Flattened Brazilian Disc With an Inner Single Crack or Double Cracks

¹Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, P.R.China;²State Key Laboratory of Hydraulics and Mountain River Engineering(Sichuan University), Chengdu 610065, P.R.China)

Funds: The National Natural Science Foundation of China（51179115）

摘要

摘要: 虽然径向压缩含内单边裂纹的圆环型试样已有学者进行了分析，但在该试样上增加有益于加载的平台，就形成了新的试样——圆孔内单边裂纹平台巴西圆盘（holed single cracked flattened Brazilian disc，HSCFBD)，并对其进行了研究.此外，对圆孔内（双边）裂纹平台巴西圆盘（holed cracked flattened Brazilian disc，HCFBD）做了进一步研究.通过有限元分析，对含有不同内外半径比、无量纲裂纹长度、平台角的HSCFBD和HCFBD的无量纲应力强度因子Y进行了全面标定，给出Y的曲线和拟合公式，拟合公式计算结果与数值标定结果相对误差在±1.39%以内.分析了试件形状参数对应力强度因子的影响：内外半径比越大，平台角越小，无量纲应力强度因子越大.根据应力强度因子的变化规律，推荐了适合测试Ⅰ型断裂韧度的HSCFBD和HCFBD的参数.进行了HCFBD的初步试验，还用国际岩石力学学会建议的人字形切槽巴西圆盘做了对比试验.
- 圆孔内(双边)裂纹平台巴西圆盘（HCFBD） /
- 圆孔内单边裂纹平台巴西圆盘(HSCFBD) /
- 无量纲应力强度因子 /
- 有限元分析 /
- 拟合公式
Abstract: Previously the circular ring specimen containing an inner single radial crack subjected to diametrically compressive loading had been studied, here it was modified with a pair of parallel flattened facets, which were beneficial to loading, to form a newtype specimen―the holed single cracked flattened Brazilian disc (HSCFBD). In addition, the holed (double) cracked flattened Brazilian disc (HCFBD) was further investigated. The dimensionless stress intensity factors of HSCFBD and HCFBD with different inner-radius-to-outer-radius ratios, different dimensionless crack lengths and different flattened angles, were comprehensively calibrated through finite element simulation, and the curve-fitting formulas of the factor were given. The relative errors between the fitting formulas and the numerical calibration results were within ±1.39%. The effects of geometric factors on the dimensionless stress intensity factor were also analyzed. The results show that the dimensionless stress intensity factor increases with the inner-radius-to-outer-radius ratio, and decreases with the flattened angle. According to the varying law of the stress intensity factor, the specimen parameters of HSCFBD and HCFBD were recommended for testing the mode-I fracture toughness. The preliminary test of HCFBD specimens was carried out for a sand stone, and the comparative test of CCNBD specimens suggested by the International Society for Rock Mechanics was also conducted.

HTML全文

参考文献(18)

[1]	于骁中. 岩石和混凝土断裂力学[M]. 长沙: 中南工业大学出版社，1991.（YU Xiao-zhong. Rock and Concrete Fracture Mechanics [M]. Changsha: Central South University of Technology Press, 1991.（in Chinese））
[2]	American Society for Testing and Materials Standard E399-12. Standard test method for linear-elastic plane-strain fracture toughness K_IC of metallic materials[S]. 3.1.2, ASTM International West Conshohocken, PA, USA, 2012.
[3]	Frankin J A, SUN Zong-qi, Atkinson B K, Meredith P C, Rummel F, Mueller W, Nishimatsu Y, Takahahsi H, Costin L S, Ingraffea A R, Bobrov G F. Suggested methods for determining the fracture toughness of rock[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1988,25(2): 71-96.
[4]	Fowell R J. Suggested method for determining mode I fracture toughness using cracked chevron notched Brazilian disc(CCNBD) specimens[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1995,32(1): 57-64.
[5]	Kuruppu M D, Obara Y, Ayatollahi M R, Chong K P, Funatsu T. ISRM-Suggested method for determining the mode I static fracture toughness using semi-circular bend specimen[J]. Rock Mechanics Rock Engineering,2014,47(1): 267-274.
[6]	CHEN Mian, ZHANG Guang-qing. Laboratory measurement and interpretation of the fracture toughness of formation rocks at great depth[J]. Journal of Petroleum Science and Engineering,2004,41(1/3): 221-231.
[7]	李银平, 王元汉, 陈龙珠, 余飞, 李亮辉. 含预制裂纹大理岩的压剪试验分析[J]. 岩土工程学报, 2004,26(1): 1120-1124.（LI Yin-ping, WANG Yuan-han, CHEN Long-zhu, YU Fei, LI Liang-hui. Experimental research on pre-existing cracks in marble under compression[J]. Chinese of Journal of Geotechnical Engineering,2004,26(1): 1120-1124.（in Chinese））
[8]	Ahmad J, Ashbaugh N E. Constant K_I crack-propagation test specimens[J]. International Journal of Fracture,1982,19(2): 115-129.
[9]	Tang T X, Bazant Z P, Yang S C, Zollinger D. Variable-notch one-size test method for fracture energy and process zone length[J]. Engineering Fracture Mechanics,1996,55(3): 383-404.
[10]	Hobbs D W. The tensile strength of rocks[J]. International Journal of Rock Mechanics and Mining Sciences,1964,1(3): 385-396.
[11]	Fischer M P, Elsworth D, Alley R B, Engelder T. Finite element analysis of the modified ring rest for determining mode I fracture toughness[J]. International Journal of Rock Mechanics and Mining Sciences,1996,33(1): 1-15.
[12]	张盛, 王启智. 用五种圆盘试件的劈裂试验确定岩石断裂韧度[J]. 岩土力学，2009,30(1): 12-18.（ZHANG Sheng, WANG Qi-zhi. Determination of rock fracture toughness by split test using five types of disc specimens[J].Rock and Soil Mechanics,2009,30(1): 12-18.（in Chinese））
[13]	Kourkoulis S K, Markides Ch F. Stresses and displacements in a circular ring under parabolic diametral compression[J].International Journal of Rock Mechanics and Mining Sciences,2014,71: 272-292.
[14]	Chen C H, Chen C S, Wu J H. Fracture toughness analysis on cracked ring disks of anisotropic rock[J].Rock Mechanics Rock Engineering,2008,41(4): 539-562.
[15]	Aliha M R M, Ayatollahi M R, Pakzad R. Brittle fracture analysis using a ring shape specimen containing two angled cracks[J]. International Journal of Fracture,2008,153(1): 63-68.
[16]	苟小平, 杨井瑞, 王启智. 基于P-CCNBD试样的岩石动态断裂韧度测试方法[J]. 岩土力学, 2013,34(9): 2450-2466.（GOU Xiao-ping, YANG Jing-rui, WANG Qi-zhi. Test method of rock dynamic fracture toughness based on using P-CCNBD specimen[J]. Rock and Soil Mechanics,2013,34(9): 2450-2466.（in Chinese））
[17]	樊鸿, 张盛, 苟小平, 王启智. 岩石断裂韧度试样CCNBD临界应力强度因子的全新数值标定[J]. 应用力学学报, 2011,28(4):416-422.（FAN Hong, ZHANG Sheng, GOU Xiao-ping, WANG Qi-zhi. A completely new numerical calibration of the critical stress intensity factor for the CCNBD specimens used in rock fracture toughness test[J]. Chinese Journal of Applied Mechanics,2011,28(4): 416-422.（in Chinese））
[18]	崔振东, 刘大安, 安光明, 周苗. 岩石I型断裂韧度测试方法研究进展[J]. 测试技术学报, 2009,23(3): 189-196.（CUI Zhen-dong, LIU Da-an, AN Guang-ming, ZHOU Miao. Research progress in mode-I fracture toughness testing methods for rocks[J]. Journal of Test and Measurement Technology,2009,23(3): 189-196.（in Chinese））

施引文献

资源附件(0)

访问统计

点击查看大图

计量

文章访问数: 1467
HTML全文浏览量: 232
PDF下载量: 888
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

圆孔内单边（或双边）裂纹平台巴西圆盘应力强度因子的全面标定

doi: 10.3879/j.issn.1000-0887.2015.01.002

作者简介:
周妍（1989—），女，辽宁阜新人，硕士生(E-mail: 419626681@qq.com)；王启智（1946—），男，浙江嘉兴人，教授，博士生导师(通讯作者. E-mail: qzwang2004@163.com).

计量

Comprehensive Calibration of the Stress Intensity Factor for the Holed Flattened Brazilian Disc With an Inner Single Crack or Double Cracks

计量

目录

留言板

圆孔内单边（或双边）裂纹平台巴西圆盘应力强度因子的全面标定

doi: 10.3879/j.issn.1000-0887.2015.01.002

作者简介: 周妍（1989—），女，辽宁阜新人，硕士生(E-mail: 419626681@qq.com)；王启智（1946—），男，浙江嘉兴人，教授，博士生导师(通讯作者. E-mail: qzwang2004@163.com).

计量

出版历程

Comprehensive Calibration of the Stress Intensity Factor for the Holed Flattened Brazilian Disc With an Inner Single Crack or Double Cracks

计量

出版历程

目录

作者简介:
周妍（1989—），女，辽宁阜新人，硕士生(E-mail: 419626681@qq.com)；王启智（1946—），男，浙江嘉兴人，教授，博士生导师(通讯作者. E-mail: qzwang2004@163.com).