Journal Home Online First Current Issue Archive For Authors Journal Information 中文版

Strategic Study of CAE >> 2007, Volume 9, Issue 2

The Loading Capacity of Three Point Bending BeamWith the Resistant Force of Cohesive Crack

1. Mechanics Department, Shandong University of Technology, Zibo, Shandong 255049, China;

2. Civil Engineering Department, Dalian University of Technology, Dalian, Liaoning 116024, China

Funding project:国家自然科学基金资助项目(50438010,10272068),山东省自然科学基金资助项目(Y2002A02) Received: 2006-03-20 Revised: 2006-07-18

Next Previous

Abstract

In the fracture study of softening materials,the damage area of crack tip is regarded as a piece of nonlinear crack with cohesive force.The cohesive force has resistant effect on the crack extension.The stress intensity factor of crack solids is a fracture mechanics index that denotes the effect of loading and crack geometry.The resistant SIF of cohesive force has relationship with the values of length of cohesive crack and ultimate tension stress.Through the double-K fracture criterion and fracture model of three point bending beam, the effect of crack cohesive force on the fracture process is analyzed.For maximum loading of bending beam with crack,the calculation approach is presented and the results are well fitted with concrete tested data.

Figures

图 1

图 2

图 3

图 4

图 5

图 6

图 7

图 8

References

[ 1 ] Cherepanov G P . Method of Fracture Mechanics : Solid Matter Physics [M] .The Netherlands ,Dordrecht :Kluwer Academic Publishers ,1997

[ 2 ] 范天佑 .断裂理论基础[M] .北京 :科学出版社 ,2003

[ 3 ] 陈 篪 ,蔡其巩 ,王仁智 .工程断裂力学[M] .北京 : 国防工业出版社 ,1977

[ 4 ] 王 铎 ,杜善义 ,王殿富 ,等 .断裂力学[M] .哈尔滨 : 哈尔滨工业大学出版社 ,1989

[ 5 ] 黄克智 ,余寿文 .弹塑性断裂力学[M] .北京 :清华 大学出版社 ,1985

[ 6 ] Karihaloo B L .Fracture Mechanics and Structural Concrete [M ] . England : Longman Scientific and Technical , Longman Group Limited ,1995

[ 7 ] Issa M A ,et al .Size effects in concrete fracture ,Part I : experimental setup and observations [ J] . International Journal of Fracture ,2000 ,102(1) :1 ~ 24 link1

[ 8 ] 徐世 ,赵国藩 .混凝土断裂力学研究[M] .大连 : 大连理工大学出版社 ,1991

[ 9 ] Hillerborg A ,Modeer M ,Petersson P E .Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite element [J] . Cement and Concrete Research ,1976 ,6(6) :773 ~ 782 link1

[10] Jenq Y S , Shah S P . Two parameters fracture model for concrete [J] .Journal of Engineering Mechanical ,ASCE , 1985 ,111(10) :1227 ~ 1241 link1

[11] Xu Shilang ,Reinhardt H W .Determination of double - K criterion for crack propagation in quasi-brittle fracture [J] . International Journal of Fracture ,1999 ,98(2) :111 ~ 193

[12] 白以龙 ,柯孚久 ,夏蒙棼 .固体中的微裂纹系统统计 演化的基本描述[J] .力学学报 ,1991 ,23(3) :290 ~ 298 link1

[13] 中国航空研究院 .应力强度因子手册[M] .北京 :科 学出版社 ,1993

[14] Tada H , Paris P C , Irwin G R . The Stress Analysis of Crack Handbook [M] . ASME Press , New York , USA , 2000

[15] 杨 卫 ,宏微观断裂力学[M] .北京 :国防工业出版 社 ,1995

[16] 王宝庭 ,徐道远 .混凝土拉伸软化曲线折线近似的 逆解方法[J] .力学学报 ,2001 ,33(4) :535 ~ 541 link1

[17] Lin G ,Qi C S ,Zhou H T .An analytical approach of the fictitious crack model for concrete [ J] . Engineering Fracture Mechanics ,1994 ,47(2) :269 ~ 280 link1

[18] 徐世烺,王利民 . 混凝土裂缝端部粘聚力的计算 [J] .中国工程科学 ,2002 ,4(5) :53 ~ 58 link1

[19] 陈 瑛 ,姜弘道 ,乔丕忠 ,等 .混凝土黏聚开裂模型 若干进展[J] .力学进展 ,2005 ,35(3) :377 ~ 390 link1

[20] Zabreyko P P , Koshelev A I . Integral Equations : A Reference Text [M] .Noordhoff Int Publ Leyden ,1975

[21] 王利民 .具有对数型奇性核的 I 类积分方程解[J] . 山东理工大学学报 ,2004 ,18(3) :1 ~ 7 link1

[22] 王利民 ,徐世 ,赵熙强 .考虑软化效应的粘聚裂纹 张开位移分析[J] .中国科学(G) ,2006 , 36(1) :59 ~ 71 link1

Related Research