基于红外成像的混凝土结构完整性评估
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
选题来源于国家自然科学基金重点项目——机敏混凝土及其结构(项目号:50238040)和国家自然科学基金面上项目——碳纤维智能层的多场耦合机理及其场域诊断(项目号:10672128)。
     由于混凝土材料及其结构失效的复杂性,工程结构的不确定性,为了综合考虑安全与经济问题,基于可靠性设计的工程结构在其全寿命周期的不同阶段,先后表现为设计问题、质量问题、适用问题、维护问题等。在役混凝土结构的状态调查、强度评定、裂缝评价、寿命预测、健康监测、风险管理等一直是国内外研究的重点和热点。论文即以混凝土结构为研究对象,以完整性评估为研究内容,以红外成像为技术手段,以损伤力学和分形理论为研究方法,以导热-损伤耦合为研究主题,从理论、实验和分形三个方面系统研究了混凝土缺陷演化及其对导热性能劣化与累积损伤的影响程度和相互关系。论文主要成果与创新之处如下:
     1、提出了混凝土结构完整性评估问题和用导热-损伤耦合描述完整性的评估方法。从综述并建立事故归因模型、材料失效模型、混凝土损伤模型等出发,提出了结构完整性问题就是研究结构中的缺陷演化及其对既定性能和规定功能的影响程度。对于混凝土结构而言,表现为微裂纹群的混沌演化及其损伤累积和性能劣化的过程与状态,适宜采用混凝土损伤场描述和评估其完整性。
     2、阐明了混凝土导热-损伤耦合的理论依据。定量分析了有缺陷或无缺陷对应表面的温度场,结果表明温度场是导热系数的函数,从而为用红外成像的温度场描述和表征损伤场奠定了理论基础;定量表达了混凝土损伤演化的混沌现象,为用分形方法描述和表征红外成像的温度场奠定了理论基础。在此基础上,凝炼了混凝土导热-损伤耦合的内涵。
     3、提取了基于红外热像的混凝土分形损伤表征因子。重点研究了不同损伤场对应表面温度场的捕获(红外成像法)及其损伤表征因子的提取(分形维数法)。前者主要包括热源、成像和样本问题,即导热-损伤耦合的实验研究;后者主要包括分形维数的描述、计算和分析问题,即导热-损伤耦合的分形研究。
     4、建立了基于分形维数的混凝土结构完整性评估体系。混凝土结构的完整性由损伤场表达,损伤场由温度场表现,温度场由热图像表明,热图像由分形维表征,并提出基于分形损伤表征因子的混凝土结构完整性评估判据,构成了一个完整性评估体系。
     通过对混凝土结构导热-损伤耦合的理论研究、实验研究和分形研究,结果表明:用先进的红外成像技术提取的不同温度场对应着不同损伤场,表现为不同热图像,通过对该图像的分形计算与分析,简单分形维数(采用多网度分形计算)随着损伤加剧而先缓慢后急剧增加,多重分形特征值(采用多重分形计算)随着损伤加剧而先缓慢再急剧后又缓慢增加。在此定性结论的基础上,进一步定义了分形损伤变量和分形演化参数,提出了评估混凝土结构完整性的全量差值法和增量比值法。
     本论文研究成果,对混凝土结构的完整性评估具有重要指导意义,对红外成像无损检测技术的应用具有一定推动作用。
The research of this paper is supported by NSFC key project(50238040) and NSFC(10672128).
     Owing to the complexity of the failure of concrete and its structures, and the indeterminacy of the engineering structures, synthetically considering the safety and economy, the problem of design, quality, application and maintenance appears successively in the different phases of the life cycle of the engineering structures designed on the base of reliability. Much attention focused on the state survey, intensity assessment, crack evaluation, life-span forecast, health monitoring and risk management of existing concrete structures in recent years. Aimed at the integrity assessment of concrete structures, focused on the heat transfer -damage coupling, by means of IR Imaging technology, damage mechanics and theory of fractal, this thesis carries on systemic research on defect evolution of concrete and the degree of its effect together with the interrelation to the weakening of thermal conductivity and the cumulation of the damage from three aspects including theories, experiments and fractal. The study's main findings and conclusions are as follows:
     (1) Development of concrete structure integrity assessment problem and method with damage field description of integrity assessment. Based on the summarization and establishment of attribution model for accidents, failure model for materials and damage mechanism of concrete, the viewpoint that structure integrity problem is to research on the defect evolution and the degree of its effects on fixed performance and prescriptive function is put forward. Damage field is appropriate to describing and evaluating concrete integrity because it acts as chaos evolvement of the micro-cracks and weakening of its capability.
     (2) Establishment of theoretical model of heat transfer -damage coupling for concrete. The exterior temperature field with and without crack are quantificationally analysed. The result shows that temperature field is the function of the thermal conductivity, which is the theoretical base of describing and characterizing the damage field with the IR Imaging temperature field. The chaotic evolution of concrete damage is quantificationally expressed, which establishes the foundation of describing and characterizing the IR Imaging temperature field. So the connotation of concrete heat conducting -damage coupling is sublimed.
     (3) Pick-up of the characterizing factors based on the IR images of concrete fractal damage. This study focuses on the exterior temperature field(IR Imaging method) acquisition corresponding to different damage field and pick-up of characterizing factors(fractal dimension method). The first one mainly includes problems of the heating source, imaging and the swatches, i.e. experimental research on heat conducting -damage coupling; the second one mainly includes description, calculation and analysis of fractal dimension, i.e. fractal dimension research on heat conducting -damage coupling.
     (4) Establishment of integrity assessment system based on the fractal dimensions of concrete structures. The integrity of concrete structures is described by the field, the damage field is represented by the temperature field, the temperature field is indicated by the IR image, and the IR image is characterized by the fractal dimensions. The integrity assessment criterion based on the fractal dimensions and damage characterizing factors of concrete structures is proposed, and a integrity assessment system is formed. By means of the theoretical, experimental and fractal dimension research on heat transfer -damage coupling for the concrete structures, it is concluded that the different temperature fields picked up by IR imaging technology corresponds to different damage fields, and act as different IR images. the fractal dimension calculations and analysis are done for these images, the result shows that with the enhance of the damage, single fractal dimensions rise first slowly and then rapidly, while mutifractal eigenvalue first rises and then decreases. Based on this conclusion, further definition of damage variables is gained and total difference method and increment ratio method for concrete structure assessment are proposed.
     This research is of important significance on the integrity assessment of concrete structures, and some promotion to the application of non-destructive testing.
引文
[1]邸小云,周燕编著.旧建筑物的检测加固与维护.北京:地震出版社,1992.85-89
    [2]李田,刘西拉箸.混凝土结构的耐久性分析与设计.北京:科学出版社,1999.73-76
    [3]刘西拉,徐茂波.结构工程中的人为错误.四川:四川建筑科学研究,1988,70(4):60-63
    [4]蒋之峰选编.建筑物诊断系列集.北京:冶金部建筑研究总院,1985.125-127
    [5]罗福午主编.建筑结构缺陷事故的分析及防止.北京:清华大学出版社,1996.47-49
    [6]Kilareski W R.failure of reinforcement concrete structures due to corrosion.Material Performance,1980,3:7-9
    [7]卢木.混凝土耐久性研究现状和研究方向.工业建筑,1997,27(5):1-4
    [8]日本土木学会编,张富春译.混凝土构筑物的维护、修补与拆除.北京:中国建筑工业出版社,1990:113-118
    [9]Jsecke B.Failure analysis of the collapse of the Berlin Congress Hall.Corrosion of Reinforcement in Concrete Construction,1985,5:34-36
    [10]刘福名.建筑物的可靠性与耐久性.西安:西安建筑科技大学出版社,1994:39-41
    [11]赵国藩,曹居易,张宽权.工程结构可靠度.北京:水利电力出版社,1984:31-33
    [12]赵国藩,工程结构可靠性理论与应用.大连:大连理工大学出版社,1996:29-31
    [13]赵国藩,金伟良,贡今鑫.结构可靠度理论.北京:中国建筑工业出版社,2000:71-77
    [14]ISO/DIS2394.General principles on reliability for structures.1986:30-32
    [15]ISO/DIS2394.General principles on reliability for structures.1998:67-69
    [16]中华人民共和国国家标准.GB50153-92工程结构可靠度设计统一标准.北京:中国计划出版社,1992-12-1
    [17]中华人民共和国国家标准.GBJ68-84建筑结构设计统一标准.北京:中国建筑工业出版社,1984-10-1
    [18]中华人民共和国国家标准.GB50158-92港口工程结构可靠度设计统一标准.北京:中国计划出版社,1992-10-1
    [19]中华人民共和国国家标准.GB50199-94水利水电工程结构可靠度设计统一标准.北京:中国计划出版社,1994-10-1
    [20]中华人民共和国国家标准.GB50216-94铁路工程结构可靠度设计统一标准.北京:中国计划出版社,1994-10-1
    [21]中华人民共和国国家标准.GB/T50283-1999公路工程结构可靠度设计统一标准.北京:中国计划出版社,1999-10-1
    [22]中华人民共和国国家标准.GB50068-2001建筑结构可靠度设计统一标准.北京:中国建筑工业出版社,2001-12-1
    [23]贡今鑫,仲伟秋,赵国藩.工程结构可靠性设计基本理论的发展与应用(1).建筑结构学报,2002.23(4):2-9
    [24]贡今鑫,仲伟秋,赵国藩.工程结构可靠性设计基本理论的发展与应用(2).建筑结构学报,2002.23(5):2-10
    [24]贡今鑫,仲伟秋,赵国藩.工程结构可靠性设计基本理论的发展与应用(3).建筑结构学报,2002.23(6):2-9
    [25]Forssell C.Economics and buildings.Sunt Fornuft,4(in Swedish),1924.Translated in Excerpts in structural Reliability and Codified Design.Waterloo:Solid Mechanics Division,University of Waterloo 1997.78-80
    [26]国家标准:GB50068-2001建筑结构可靠度设计统一标准.北京:中国建筑工业出版社,2001-10-1
    [27]国家标准:GBJ83-85建筑结构设计通用符号计量单位和基本术语.北京:中国计划出版社,1984-12-1
    [28]黄兴隶编著.工程结构可靠性设计.北京:人民交通出版社,1989.34-37
    [29]李田,刘西拉.混凝土结构的耐久性设计.土木工程学报,1994,27(2):47-55
    [30]张思俊,沈海尧.用混合优化法求解结构的可靠指标.工程结构可靠性,中国土木工程学会桥梁及结构工程学会结构可靠度委员会全国第二届学术会议论文集.重庆,1989,34-46
    [31]贡金鑫.结构可靠指标求解的一种新的迭代方法.计算结构力学及其应用,1995,12(3):369-373
    [32]贡金鑫,仲伟秋,赵国藩.结构可靠指标计算的通用方法.计算力学学报,2003.20(1):12-18
    [33]陈国华.CF-62钢焊接接头断裂韧性分布的实验研究.理化检验—物理分册.2000.36(8):339-341
    [34]陈国华.NDT技术进展及其在锅炉压力容器安全评估中的作用.无损检测,2000.23(8):346-349,360
    [35]陈国华.概率安全评定方法计算程序及其工程应用.南京航空航天大学学报,1999.31(3):346-350
    [36]陈国华.焊接结构焊缝中缺陷参数不确定性工程处理方法.无损检测,1999.21(5):3196-198
    [37]陈国华.基于双判据准则含缺陷结构概率安全评定工程方法:[博士学位论文].南京:南京化工大学,1996.73-79
    [38]陈国华.结构完整性评定技术进展与展望.石油化工设备技术,2001.22(6):1c5
    [39]陈国华.模糊理论在缺陷质量等级评定中的应用研究.无损检测,1998.20(2):39-40,55
    [40]陈国华.无损检测检出概率和缺陷尺寸分布规律的分析与评述.无损检测,1997.19(8):220-221,225
    [41]陈国华.无损检测可靠性的评估方法.无损检测,1996.18(2):40-41
    [42]陈积懋.无损检测新技术发展.无损检测,1994.16(8):221-224
    [43]陈建忠,史耀武等.数字超声无损评价系统中的脉冲燥声.中国机械工程,1999.10(8):896-898
    [44]陈晓.CF-62钢制1500m3大型低温球罐用44mm厚钢板性能研究及数理分析.压力容器,1994,11(2):101-1009,145
    [45]陈学东.我国石化企业在用压力容器与管道使用现状和缺陷状况分析及失效预防对策.见:《压力容器》杂志社编.第五界全国压力容器学术会议专题报告集.合肥:中国机械工程学会压力容器分会出版,2001.25-34
    [46]陈彦华,李明轩.利用人工神经网络实现缺陷类型识别.应用声学,1998.17(2):1-4
    [47]陈岳军等.粗晶材料超声检测缺陷信号增强的小波分析法.中国有色金属学报,1997.7(2):94-96
    [48]戴树和.风险分析技术(一)----风险分析的原理和方法.压力容器,2002.19(2):1-9
    [49]戴树和.化工设备事故预测技术的研究.化工学报,1998.49(5):624-631
    [50]戴树和,王明娥.可靠性工程及其在化工设备中的应用.北京:化学工业出版社,1987.41-43
    [51]戴树和.新兴学科《风险工程学》梗概.见《压力容器》杂志社编.第五界全国压力容器学术会议专题报告集.合肥:中国机械工程学会压力容器分会出版,2001.1-8
    [52]戴树和.压力容器可靠性工程90年代技术展望.压力容器,1991.8(6):1-8,16
    [53]余寿文,冯西桥.损伤力学.北京:清华大学出版社,1997.12-15
    [54]余天庆,钱济成.损伤力学及其应用.国防工业出版社,1993.19-21
    [55]Sidoroff.Descripion of anisotropic damage application to elasticity.Proceedings of IUTAM Colloquium.Physical Nonlineritiesin Structure Analysis.1981,5:237-244
    [56]李兆霞.损伤力学及其应用.科学出版社,2000.46-49
    [57]Gurson A L.Continuum theory of ductile rupure by void nucleation and growth,I.Yield criterial and flow rules for porous ductile meida.J.Mater.Tech.,1977.2-15
    [58]Li.ZX.Viscoplastic damage model applied to cracking of gravity dam.Theo.and Appl.Frac.Mech,1995,22(l):165-170,
    [59]Li Z X,Xiao L GFinite element analysis of local damage and post-failure behavior for strain-sofening solid.Int.J of Frac,1996.80(1):85-95,
    [60]杨延毅.混凝土损伤断裂过程研究,浙江大学出版社,1993.77-80
    [61]陈建兵,李杰.混凝士结构非线性随机损伤状态的演化分析,东南大学学报,2002.32(5):756-759
    [62]任青文,徐道远等.复杂条件下的高拱坝建设中的应用基础研究,国家自然科学基金委员会,1997:1-53
    [63]刘华,彩正敏,杨菊生等.混凝土结构的三维损伤开裂破坏全过程非线性有限元分析,工程力学,1999,4:45-51
    [64]Noh.Sam-Yong,Kratzig,wilfried.B,meskourid.konsiantin.Numerical simulation of service ability,damage evolution and failure of reinforced concrete shells.Computer and structures,2003,7:843-857,
    [65]张强勇,朱维申,今亚兵.弹塑性损伤模型在某地下厂房中的应用,岩石力学与工程学报,1999,18(6):654-657
    [66]徐道远,王向东.乌江索风营水电站碾压混凝土重力坝施工全过程仿真研究成果报告,河海大学,2001,6:12-14
    [67]邓爱民,混凝土损伤行为特性研究:[硕士论文]河海:河海大学,2001.34-36
    [68]Lee G Fenves.A phastic-damage concrete model for earthquake analysis of dams,Earthquake Engng and Struct.Dyn,1998,10:937-956
    [69]Mazars J.A Description of micro-and macro-scale damage of concrete stucture.engineering fracture Mechanics,1986,9:739-737
    [70]于广明.混凝土的分形性及其单轴应力下裂纹演化的混沌效应.青岛建筑工程学院学报,2004,10:1-7
    [71]黄莉.基于红外热像的碳纤维混凝土损伤分析与研究:[博士学位论文].武汉:武汉理工大学,2005
    [72]陈珏.材料内部脱粘的红外无损检测.红外技术,2001,11:39-42
    [73]曾可令,吴卫生.复合材料的红外无损检测.激光与红外,1996,12:80-84
    [74]梅林,陈自强,王裕文,等.脉冲加热红外热成像无损检测的有限元模拟及分析.西安交通大学学报,2000,7:66-70
    [75]Qin,Y-W;Bao,N.K.;Infrared Thermography and its Application in the NDT of Sandwich Structures.Optics and Lasers in Engineering 25 2~3 Aug~Sep 1996
    [76]朱德忠,郑明清,陈雷.应用红外热成像技术检测蜂窝结构材料内部缺陷.上海交通大学学报,1999,8:10-13
    [77]杨黎俊,耿完桢,姜铃珍,等.红外成像检测中的缺陷大小评估.无损检测,1999,2:65-67
    [78]Xavier P.V.Maldague,Nondestructive Evaluation of Materials by Infrared Thermography Springer-Verlag,Berlin London Limited 1993,6:78-80
    [79]Toshimitsu ISH II,Yoshizo OKAMOTO.Investigation of Qualification,Certification and Reference Testing Methods on Nondestructive Inspection by Means of Infrared Thermography.1999,48(10):642-652
    [80]Legrand,A.C;Meriaudeau.F;Gorria.P.Active Infrared Non-destructive Testing for Glue occlusion Detection within Plastic Lids NDT and E International.2002,35(3):177-187
    [81]刘莹,等.材料的红外无损检测技术及其发展.华北工学院测试技术学报,2001,(4):275-279.
    [82]梅林,等.红外热成像无损检测技术及其应用现状.无损检测,1999,(10):466-468.
    [83]张建合,郭广平.国内外飞速发展的热像无损检测技术.无损探伤,2005,29(1):1-4.
    [84]王迅,金万平,张存林等.红外热波无损检测技术及其进展.无损检测,2004,26(10):497-501.
    [85]S K Lau,D P Almond,A quantitative analysis of pulsed video thermography.NDT & E international 1991,(24):195-202.
    [86]B.B.Mandelbrot,et al.Fractal character of fracture surfaces of metals of metals J.Nature,1984,8:721-723.
    [87]谢和平.分形-岩石力学导论M.北京:科学出版社,1997:168-257
    [88]D.A.Lan ge,et al.Relationship between fracture surface roughnessand fracture behavior of cement paste and mortar J.J.of Am.Ceramic Soc.1993,3:589-597.
    [89]V.C.Saouma,C.C.Barton.Fractals,fracture and size effect in concrete.of En gng Mechanics ASCE.1994,4:835-854.
    [90]Keru Wu.Effect of metallic a ggregate on strength and fracture properties of HPCJ.Cement and Concrete Reseach.2001,7:113-118.
    [91]An Yan,Keru Wu.Effect of fracture path on the fracture energy of high-strength concrete.Cement and Concrete Research.2001,3:1601-1606.
    [92]李平.多重分形的计算程序设计与应用.南京工程学院学报,1999,12:45-47
    [93]M.B.Feodor.Fractals and fractal scalin g in fracture mechanics.International Journal of Fracture.1999,3:239-259.
    [94]A.Car pinteri.Fractal nature of material microstrucrure and size effects on apparent mechanical properties.Mechanics of Materials.1994,67:89-101.
    [95]A.Car pinteri,B.Chiaia.Crack-resistance behavior as a consequenceof self-similar fracture topologies.International Journal of Fracture.1996,12:327-340.
    [96]M.B.Brunetto.Scaling phenomena due to fractal contact in concreteand rock fractures.Intenational Journal of Fracture.1999,6:221-238.
    [97]周瑞忠.混凝土结构裂纹尖端应力场奇异性的分形力学意义.大连理工大学学报.1997,5:67-71.
    [98]康光宗,湛君毅.混凝土结构裂缝宽度尺寸效应的分形行为.湖南城建高等专科学校学报.1999,2:1-3.
    [99]倪玉山.混凝土细观结构断裂的分形分析.大连理工大学学报.1997,9:72-76.
    [100]王铁成,杨建江.混凝土结构状态及其扩展的分形几何解析.大连理工大学学报.1997,6:77-81.
    [101]唐明.宁作君.混凝土断裂面的复型重构及其分形特征的评价.沈阳建筑工程学院学报.2003,5:1-4.
    [102]周克荣,肖小松,吴晓涵.混凝土立方体抗压强度尺寸效应中的分形行为.福州大学学报(自然科学版),1996,2:63-68.
    [103]周克荣,肖小松,吴晓涵.混凝土轴心抗压强度尺寸效应中的分形行为.福州大学学报(自然科学版),1996,24(S1):58-62.
    [104]范颖芳,周晶,冯新.受腐蚀钢筋混凝土构件破坏过程的分形行为.工程力学,2002,19(5):124-129.
    [105]陈万春,师晖军,晁宗棋.基于分形几何理论的钢筋混凝土梁式桥裂缝发育特征.长安大学学报(自然科学版),2003,23(6):44-46.
    [106]严安,吴科如,张东,等.混凝土材料断裂表面的多重分形特征研究.建筑材料学报,2002,5(1):46-50.
    [107]夏春,刘浩吾.混凝土细骨料级配的分形特征研究.西南交通大学学报,2002,37(25):186-189.
    [108]丁保华,文洪杰,仲维斌等.Mo/β'-Sialon梯度功能材料的显微结构及分形计算.现代技术陶瓷.19964:24-27
    [109]丁保华,文洪杰,仲维斌等.分形理论在高技术陶瓷材料研究中的应用.耐火材料,1997,31(6):359
    [110]丁保华,李文超,王福明等.分形在梯度功能材料中的应用.材料导报,1998,12(5):6
    [111]Ding Baohua,Li Wenchao,Wang Fuming,et al.Fractal Application of Mo/β'-Sialon Functionally Gradient Materials by Powder Metallurgy.China's Refractory,1998,7(2):27
    [112]Sohn H G,Lim Y M,Yun K H,Kim G H.Monitoring crack changes in concrete structures.Computer-Aided Civil and Infrastructure Engineering,2005,20(1):52-61.
    [113]Mandelbrot B B,Passoja D E,Paullay A J.Fractal character of fracture surfaces of metals.Nature,1984,308(19):721-722.
    [114]Addison P S,McKenzie W M C,Ndumu A S,Dougan L T,Hunter R.Fractal cracking of concrete:parameterization of spatial diffusion.Journal of Engineering Mechanics,1999,125(6):622-629.
    [115]Mechtcherine V,Muller H S.Fractological investigation on the fracture in concrete.Fracture Mechanics of Concrete Structures,2001,81-88.
    [116]Carpinteri A,Chiaia B,Invernizzi S.Three-dimensional fractal analysis of concrete fracture at the meso-level.Theoretical and Applied Fracture Mechanics,1999,(31):163-172.
    [117]Benoit B Mandelbrot,Dann E Passoja,Alvin J Paullay.Fractal Character of Fracture Surfaces of Metals.Nature,1984,308(19):721
    [118]张永平,谢和平.关于断裂表面分维估测的研究.力学与实践,1991,13(2):43-47.
    [119]Ditlevsen O,Bjerager P.Plastic reliability analysis by directional simulation.Journal of Engineering Mechanics,1989,115(6);1347-1362
    [120]Hasofer A M,Ditlevsen O,Olesen R.Vertor outcrossing probabilities by Monte Carlo.Probabilistic Enggineering Mechanics,19905(3);122-128
    [121]Ditlevsen O,Bjerager P,Olesen R,et al.Directional simulation in Gaussian prrcesses.Probability Engineering Mechanics,1988,3(4):207-217
    [122]Engeleund S,Rackwitz R A benchmark study on importance sampling techniques in structural reliability.structural Safety,1993,12(4):255-176
    [123]Hiroyuki Kameda,Takeshi Koike.Reliability theory of deterioration structures.joumal of the Structural Division,1975,101(1):295-310
    [124]Li C Q.A case study on the reliability analysis of deteriorating structures.Proceedings of the Institution of Civil Engineers.Structures and Buildings,1995,110(8):369-277
    [125]Bucher C G.Adaptive ampling-an iterative fast Monte Carlo Procedure.Structural Safety,1988,5(2):119-126
    [126]彭瑞东,谢和平,鞠杨.二维数字图像分形维数的计算方法.中国矿业大学学报,2004,33(1):19-24.
    [127]鞠杨,刘彩平,谢和平.混凝土断裂及亚临界扩展的细观机制.工程力学,2003,20(5):1-9.
    [128]鞠杨,刘彩平,谢和平.混凝土断裂细观机制研究.工程力学2004,20(5):10-12.
    [129]肖勇,陈强,等.分形理论在焊接图像处理中的应用.中国图像图形学报,2002,7(1):86-90.
    [130]谢和平,鞠杨.分数维空间中的损伤力学研究初探.力学学报,1999,31(3):2-12.
    [131]D.J.Naus.Fracture Mechanics Applicability to Portland Cement Concrete.无机非金属材料断裂力学.北京:中国建筑工业出版社,1982.98-100
    [132]MindessS,Diamonds.Preliminary SEM Study of Crack Propagationin Mortar.Cement and Concrete Research,1980,10(4):509-519.
    [133]MindessS,Diamonds.Adevice for Direct Observation of Cement Pasteor Mortarunder Compressive Loading within a Scanning Microscope.Cementand Concrete Research,1982,12(5):569-576.
    [134]KennethR.Castleman.Digital Image Processing.Beijing:Publishing House of Electronics Industry,2002,7:21-23
    [135]刘善军,吴立新.岩石受力的红外辐射效应.北京:冶金工业出版社,2005.32-35
    [136]Fracture Mechanics of Concrete Structure From Theory to Application.Edited by L.Elfgern,,Chapman and Hall Ltd London,New York,1989,1031-40
    [137]S.S.Mprcos,R.Rjorhoved.Fracture Modeling of Concrete and Steel.of Structural Eng.1995,10:1125-1133.
    [138]Y.N.Li,J.D.Worner.Two New Methods of Fictitious Crack Model and Their Applications.J.ofEng.Mech.1994,7:2604-2620.
    [139]Y.N.Li,R.Y.Liang.Peak Load Determination in Lineer Fictitious Crack Model.J.of Eng.Mech.1994,2:232-249.
    [140] Yuan N. Li, R.Y. Liang. Stability Theory of Concrete Crack Model J. of Eng . Mech.ASCE,, 1992,3: 587-603.
    [141] M.Petrallgeli, J. Ozbolt. Smeared Crack Approaches-Mate-rial Modeling. J. of Eng. Mech. ASCE, June 1996,6:545-554 .
    [142] Y.Jeng, S. P. Shah. Two Parameter Fracture Model for Concrete. J. of Eng. Mech. ASCE, 1985,6:1227-1241.
    [143] W. H. Gerstle, M. Xie. FEM Modeling of Fictitious Crack Propogation in Concrete. J. Of Eng. Mech. ASCE,1992,2:416-434 .
    [144] Carpinteri A. Static and Energetic Fracture Parameters for Rock and Concrete. Mater. Et. Constructions, 1981,1:81,.
    [145] Higgins, D. D. Bailey, J. E. Fracture. Measurements on Cement Paste. J. of Material Science, Vol11, 1976,1995-2003 .
    
    [146] Peterssom P.E.Fracture Energy of Concrete Cement and Concrete. Res. 1980. 10,78—101.
    [147] Bazant Z.P., Oh B. H. Crack Band Theory for Fracture of Concrete. Mater et Constru. Paris, 1983,16 :155—77.
    
    [148] Planas J., Elices. M. Asynlptotic Analysis Of the Development of A Cohesive Crack Zone in Model Loading for Arbitrary softenting Curves. Proc of Fracture of Concrete and Rock SEM -Rilem Cenference Houston, 1987,12:23-25
    [149] Rots J. G. Strain Softening Analysis of Concrete Fracture Specimens , Fracture Toughness and Fracture Energy of Concrete . Elsevier Science Publ. Amsterclam 1986, ppl37—148.
    [150] Lawrence E Malvern. Introduction to the Mechanics of a Continuous Medium. Prentice-Hall Inc. Englewood Cliffs New Jersey,2001,10:77-79
    
    [151] J. Mazars. Mechanical Damage and Fracture of Concrete Structures. In Advances in Fracture Reserch, Pergamon Press, 1982,4:23-24

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700