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

Strategic Study of CAE >> 2002, Volume 4, Issue 5

Calculation of Cohesive Stress Along the Fictitious Crack Zone in Concrete Materials

1.Department of Civil Engineering , Dalian University of Technology , Dalian 116024, China

2.Department of Mechanics , Shandong Institute of Technology , Zibo , Shandong 255012, China

Funding project:国家自然科学杰出青年基金(59625814)和中国博士后科学基金资助项目 Received: 2001-12-03 Revised: 2002-03-05 Available online: 2002-05-20

Next Previous

Abstract

Nonlinear fracture behaviors of concrete materials are mainly caused by the cohesive stress along the fracture process zone. Based upon concrete fracture properties and the analytical model of crack with cohesive forces, two simple formulae concisely expressing the cohesive stress distribution are presented through analyzing characteristics of the cohesive force distribution function. One formula has only one undefined parameter. The other one has two undefined parameters. According to the superposition principle of deformation body, a formula for calculating the sole undefined parameter to control the cohesive force distribution function is deduced. Similarly, two algebra equations for solving the two undefined parameters also for controlling the cohesive force distribution are given. As a result, using the test data of crack opening displacement, the cohesive stress distribution is determined. The relevant calculation examples and discussions are given, too, in this paper.

Figures

图1

图2

图3

图4

图5

References

[ 1 ] 过镇海.钢筋混凝土原理[M ].北京:清华大学出版社, 1999 link1

[ 2 ] BazantZ , ChenEP .Scalingofstructuralfailure[J].AppliedMechanicsReview.1997, 50 (10) :593~627

[ 3 ] KaplanMF .Crackpropagationandthefractureofcon crete[J].JournalofAmericanConcreteInstitute, 1961, 58:591~610

[ 4 ] HillerborgA , ModeerM , PeterssonPE .Analysisofcrackformationandcrackgrowthinconcretebymeansoffracturemechanicsandfiniteelement[J].CementandConcreteResearch.1976, 6:773~782

[ 5 ] JenqYS , ShahSP .Twoparameterfracturemodelforconcrete.JournalEngineeringMechanical[J], ASCE , 1985, 111 (10) :1227~1241

[ 6 ] KarihalooBL , NallathambiP .Effectivecrackmodelforthedeterminationoffracturetoughness (KSIc) ofconcrete[J].EngineeringFracturemechanics, 1990, 35 (4/5) :637~645

[ 7 ] BazantZP .Sizeeffectinbluntfracture:concrete, rock, metal[J].ASCEJournalofEngineeringMechanics, 1984, 110:518-535

[ 8 ] 徐世, 赵国藩.混凝土结构裂纹扩展的KR 阻力曲线与双K断裂准则[A].第五届全国核反应堆结构力学会议文集[C].1988年10月, 成都

[ 9 ] XuShilang, ReinhardtHW .DeterminationofdoubleKcriterionforcrackpropagationinquasi brittlefracture, PartIII :Compacttensionspecimensandwedgesplit tingspecimens[J].InternationalJournalofFracture, 1999, 98:179~193 link1

[10] WeibullW .Astatisticaltheoryofthestrengthofmate rials.ProceedingsoftheRoyalSwedishInstituteforEn gineeringResearch153, 1939, 1~55

[11] CarpinteriA .Fractalnatureofmaterialmicrostructureandsizeeffectsonapparentmechanicalproperties[J].Mech.Mat, 1994, 18:89~101

[12] IssaMA , etc.Sizeeffectsinconcretefracture:PartI , experimentalsetupandobservations[J].InternationalJournalofFracture.2000, 102:1~24 link1

[13] 王利民.混凝土及加筋与纤维增强混凝土结构破坏的几个力学问题研究[R].大连理工大学土木建筑学院, 2000

[14] 王 铎, 杜善义, 王殿富, 等.断裂力学[M ].黑龙江:哈尔滨工业大学出版社, 1989 link1

[15] MazarsJ, CabotGP , SaouridisC .Sizeeffectandcon tinuousdamageincementitiopusmaterials[J].Interna tionalJournalofFracture.1991, 51:159~173 link1

[16] 赵国藩, 徐世, 王凤翼, 等.国家七五科技攻关项目阶段成果报告:大骨料全级配混凝土断裂韧度和断裂能[R].大连理工大学土木工程系, 1989.12

Related Research