混凝土双K断裂韧度确定方法研究进展
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摘要
双K断裂模型能够描述混凝土断裂过程,因此对于双K断裂韧度的研究有助于准确预测以及判断裂缝的稳定性。总结了目前确定起裂韧度K_(Ic)~(ini)与失稳韧度K_(Icu)~n的多种方法,如直接测定法、解析法、峰值荷载法、极值荷载法、线性回归法等,描述了各方法主要步骤与结果精度,对其中的异同进行比较。结果表明,基于不同的假设与简化,计算结果略有偏差,但基本符合工程要求,可根据不同的试验条件与计算效率要求,选择相应的计算方法。
Double-K fracture model can describe the fracture progress quantitatively,thus the research of double-K fracture toughness do contribute to forecast and judge the stabilization of the crack accurately.It presents a review of the current approaches to determine KIcini-initiation fracture toughness and KIcun-unstable fracture toughness,such as direct method,analytical method,peak load method,extreme method,linear regression method,and describe the key steps and result precision,additionally compare the similarities and differences.The results show that,based on the different assumption and simplification,the computation conform to the demand of engineering basically within the small deviation,therefore different methods can be chose according to corresponding experimental condition and computational efficiency.
Double-K fracture model can describe the fracture progress quantitatively,thus the research of double-K fracture toughness do contribute to forecast and judge the stabilization of the crack accurately.It presents a review of the current approaches to determine KIcini-initiation fracture toughness and KIcun-unstable fracture toughness,such as direct method,analytical method,peak load method,extreme method,linear regression method,and describe the key steps and result precision,additionally compare the similarities and differences.The results show that,based on the different assumption and simplification,the computation conform to the demand of engineering basically within the small deviation,therefore different methods can be chose according to corresponding experimental condition and computational efficiency.
引文
[1]赵志方.基于裂缝黏聚力的大坝混凝上断裂特性研究[R].清华大学博士后研究报告,2004.
[2]KAPLAN M F.Crack propagation and the fracture of concrete[J].Am Concr Inst,1961,8(5):591-610.
[3]徐世烺,赵国藩.混凝土断裂力学研究[M].大连:大连理工大学出版社.
[4]于骁中.岩石和混凝土断裂力学[M].北京:清华大学出版社,1992.
[5]SHAN S P,CARPINTERI A.Fracture mechanics test methods for concrete[J].London:Chapman&Hall,1991.
[6]尹双增.断裂·损伤理论及应用[M].北京:清华大学出版社,1992.
[7]BAZANT Z P,PLANAS J.Fracture and size effect in concrete and qther quasibrittle materials[J].Boca Raton and London:CRC Press,1998.
[8]HILLERBORG A,MODEER M,PETERSSON P E.Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J].Cement and Concrete Research,1976(6):773-782.
[9]BAZANT Z P,OH B H.Crack band theory for fracture of concrete[J].Materials and Structures,1983,16(93):155-177.
[10]JENQ Y S,SHAH S P.Two parameter fracture model for concrete[J].Journal of Engineering Mechanics,1985,111(10):1227-41.
[11]KARIHALOO B L,NALLATHAMBI P.An improved crack model for the determination of fracture effective toughness of concrete[J].Cement and Concrete Research,1989,19(4):603-610.
[12]徐世烺,赵国藩.混凝土结构裂缝扩展的双K断裂准则[J].土木工程学报,1992,25(2):32-38.
[13]卿龙邦,聂雅彤,刘宁,等.基于线性回归的大坝混凝土起裂韧度确定方法[J].水力发电学报,2016,35(8):25-31.
[14]徐世烺.混凝土断裂力学[M].北京:科学出版社,2011.
[15]XU S L,REINHARDT H W.Determination of double-K criterion for crack propagation in quasi-brittle fracture,Part I:experimental investigation of crack propagation[J].International Journal of Fracture,1999,98(2):111-149.
[16]TADA H,PARIS P C,LRWIN U R.The stress analysis of crack handbook[M].New York:ASME Press,2000.
[17]X S,REINHARDT H W.Determination of double-K criterion for crack propagation in quasi-brittle materials,Part II:analytical evaluating and practical measuring met hods for three-point bending notched beams[J].International Journal of Fracture,1999(98):151-177.
[18]XU S L,REINHARDT H W.A simplified method for determining double-K fracture parameters for three point bending tests[J].International Journal of Fracture,2000(104):181-209.
[19]吴智敏,董伟,刘康,等.混凝上I型裂缝扩展准则及裂缝扩展全过程的数值模拟[J].水利学报,2007(38):1453-1459.
[20]王金来.混凝土双K断裂参数的确定[D].大连:大连理工大学,1999.
[21]聂雅彤,卿龙邦,孔丹丹.混凝土三点弯曲梁失稳韧度预测方法研究[J].混凝土,2016(1):29-33.
[22]管俊峰,卿龙邦,赵顺波.混凝上三点弯曲梁裂缝断裂全过程数值模拟研究[J].计算力学学报,2013,30(1):143-155.
[23]HILLERBDRG A,MDDEER M,PETERSSDN P E.Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J].Cement and Concrete Research,1976(6):773-782.
[24]QING L B,TIAN W L,WANG J.Predicting unstable toughness of concrete Based on initial toughness criterion[J].Journal of Zhejiang University(Science A),2014,15(2):138-148.
[25]卿龙邦,李庆斌,管俊峰.混凝土断裂过程区长度计算方法研究[J].工程力学,2012,29(4):197-201.
[26]REINHARDT H W,COMELISSEN H A W,HORDIJIK D A.Tensile tests and failure analysis of concrete[J].Journal of Structure Engineering.ASCE,1986(112):2462-2477.
[27]XU S L,REINHARDT H W.Determination of double-K criterion for crack propagation in quasi-brittle fracture,Part III:compact tension specimens and wedge splitting specimens[J].International Journal of Fracture,1999,98(2):179-193.
[28]KUMAR S,BARAI S V.Determining double-K fracture parameters of concrete for compact tension and wedge splitting tests using weight function[J].Engineering Fracture Mechanics,2009,76(7):935-948.
[29]QING L B,LI Q B.A theoretical method for determining initiation toughness based on experimental peak load[J].Engineering Fracture Mechanics,2013(99):295-305.
[30]TADA H,PARIS P C,LRWIN G.The stress analysis of crack handbook[M].New York:ASME Prcss,2000.
[31]MAI Y W.Cohesive zone and crack-resistance(R)-curve of cementitious materials and their fiber-reinforced composites[J].Engineering Fracture Mechanics,2002,69(2):219-234.
[32]徐世烺,周厚贵,高洪波,等.各种级配大坝混凝土双K断裂参数试验研究[J].土木工程学报,2006,39(11):50-62.
[33]QING L B,NIE Y T,WANG J,et al.A simplified extreme method for determining double-K fracture parameters of concrete using experimental peak load[J].Fatigue&Fracture of Engineering Materials&Structures,2016:1-12.
[34]KUMAR S,PANDEY S R,SRIVASTAVA A K L.Determination of double-K fracture parameters of concrete using peakloadmethod[J].Engineering Fracture Mechanics,2014(131):471-484.
[35]ZHANG J,LEUNG C K Y XU S L.Evaluation of fracture parameters of concrete from bending test using inverse analysis approach[J].Materials&Structures,2010,43(6):857-874.
[36]徐世烺,赵国藩.光弹贴片法研究混凝土裂缝扩展过程[J].水利发电学报,1991(3):8-18.
[37]荣华,董伟,吴智敏,等.大初始缝高比混凝土试件双K断裂参数的试验研究[J].工程力学,2012,29(1):162-167.
[38]PETERSSDN P E.Crack growth and development of fracture zones in plain concrete and similar materials[R].Sweden:Division of Building Materials.Lund Institute of Technology,1981.
[39]徐世烺,吴智敏,丁生根.混凝土双K断裂参数的实用解析方法[J].工程力学,2003,20(3):54-61
[40]BUECKNER H F.A novel principle for the computation of stress intensity factors[J].Z Angew Math Mech,1970(50):529-546.
[41]KUMAR S,BARAI S V.Influence of specimen geometry on determination of double-K fracture parameters of concrete:a comparativestudy[J].International Journal of Fracture,2008,2008(749):47-66.
[42]Reinhardt H W,XU S L.Crack extension resistance based on the cohesive force in concrete[J].Engineering Fracture Mechanics,1999(64):563-587.·30·
[43]KUMAR S,BARAI S V.Influence of specimen geometry and sizeeffect on the KR-curve based on the cohesive stress in concrete[J].International Journal of Fracture,200A(152):127-4A.
[44]JENG Y S,SHAH S P.Two parameter fracture model for concrete[J].Journal of Engineering Mechanics,1985,111(10):1227-1241.
[45]卿龙邦,聂雅彤,刘宁,等.基于线性回归的大坝混凝土起裂韧度确定方法[J].水利发电学报,2016,35(8):25-31.
[46]LI Q B,GUAN J F,WU Z M,et al.Fracture behavior of site-casting dam concrete[J].Engineering Fracture Mechanics,2011(78):2115-2138.
[47]ZHANG X,XU S.A comparative study on five approaches to evaluate double-K fracture toughness parameters of concrete and size effect analysis[J].Eng.Eract.Mecb.,2011(78):2115-2138.
[2]KAPLAN M F.Crack propagation and the fracture of concrete[J].Am Concr Inst,1961,8(5):591-610.
[3]徐世烺,赵国藩.混凝土断裂力学研究[M].大连:大连理工大学出版社.
[4]于骁中.岩石和混凝土断裂力学[M].北京:清华大学出版社,1992.
[5]SHAN S P,CARPINTERI A.Fracture mechanics test methods for concrete[J].London:Chapman&Hall,1991.
[6]尹双增.断裂·损伤理论及应用[M].北京:清华大学出版社,1992.
[7]BAZANT Z P,PLANAS J.Fracture and size effect in concrete and qther quasibrittle materials[J].Boca Raton and London:CRC Press,1998.
[8]HILLERBORG A,MODEER M,PETERSSON P E.Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J].Cement and Concrete Research,1976(6):773-782.
[9]BAZANT Z P,OH B H.Crack band theory for fracture of concrete[J].Materials and Structures,1983,16(93):155-177.
[10]JENQ Y S,SHAH S P.Two parameter fracture model for concrete[J].Journal of Engineering Mechanics,1985,111(10):1227-41.
[11]KARIHALOO B L,NALLATHAMBI P.An improved crack model for the determination of fracture effective toughness of concrete[J].Cement and Concrete Research,1989,19(4):603-610.
[12]徐世烺,赵国藩.混凝土结构裂缝扩展的双K断裂准则[J].土木工程学报,1992,25(2):32-38.
[13]卿龙邦,聂雅彤,刘宁,等.基于线性回归的大坝混凝土起裂韧度确定方法[J].水力发电学报,2016,35(8):25-31.
[14]徐世烺.混凝土断裂力学[M].北京:科学出版社,2011.
[15]XU S L,REINHARDT H W.Determination of double-K criterion for crack propagation in quasi-brittle fracture,Part I:experimental investigation of crack propagation[J].International Journal of Fracture,1999,98(2):111-149.
[16]TADA H,PARIS P C,LRWIN U R.The stress analysis of crack handbook[M].New York:ASME Press,2000.
[17]X S,REINHARDT H W.Determination of double-K criterion for crack propagation in quasi-brittle materials,Part II:analytical evaluating and practical measuring met hods for three-point bending notched beams[J].International Journal of Fracture,1999(98):151-177.
[18]XU S L,REINHARDT H W.A simplified method for determining double-K fracture parameters for three point bending tests[J].International Journal of Fracture,2000(104):181-209.
[19]吴智敏,董伟,刘康,等.混凝上I型裂缝扩展准则及裂缝扩展全过程的数值模拟[J].水利学报,2007(38):1453-1459.
[20]王金来.混凝土双K断裂参数的确定[D].大连:大连理工大学,1999.
[21]聂雅彤,卿龙邦,孔丹丹.混凝土三点弯曲梁失稳韧度预测方法研究[J].混凝土,2016(1):29-33.
[22]管俊峰,卿龙邦,赵顺波.混凝上三点弯曲梁裂缝断裂全过程数值模拟研究[J].计算力学学报,2013,30(1):143-155.
[23]HILLERBDRG A,MDDEER M,PETERSSDN P E.Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J].Cement and Concrete Research,1976(6):773-782.
[24]QING L B,TIAN W L,WANG J.Predicting unstable toughness of concrete Based on initial toughness criterion[J].Journal of Zhejiang University(Science A),2014,15(2):138-148.
[25]卿龙邦,李庆斌,管俊峰.混凝土断裂过程区长度计算方法研究[J].工程力学,2012,29(4):197-201.
[26]REINHARDT H W,COMELISSEN H A W,HORDIJIK D A.Tensile tests and failure analysis of concrete[J].Journal of Structure Engineering.ASCE,1986(112):2462-2477.
[27]XU S L,REINHARDT H W.Determination of double-K criterion for crack propagation in quasi-brittle fracture,Part III:compact tension specimens and wedge splitting specimens[J].International Journal of Fracture,1999,98(2):179-193.
[28]KUMAR S,BARAI S V.Determining double-K fracture parameters of concrete for compact tension and wedge splitting tests using weight function[J].Engineering Fracture Mechanics,2009,76(7):935-948.
[29]QING L B,LI Q B.A theoretical method for determining initiation toughness based on experimental peak load[J].Engineering Fracture Mechanics,2013(99):295-305.
[30]TADA H,PARIS P C,LRWIN G.The stress analysis of crack handbook[M].New York:ASME Prcss,2000.
[31]MAI Y W.Cohesive zone and crack-resistance(R)-curve of cementitious materials and their fiber-reinforced composites[J].Engineering Fracture Mechanics,2002,69(2):219-234.
[32]徐世烺,周厚贵,高洪波,等.各种级配大坝混凝土双K断裂参数试验研究[J].土木工程学报,2006,39(11):50-62.
[33]QING L B,NIE Y T,WANG J,et al.A simplified extreme method for determining double-K fracture parameters of concrete using experimental peak load[J].Fatigue&Fracture of Engineering Materials&Structures,2016:1-12.
[34]KUMAR S,PANDEY S R,SRIVASTAVA A K L.Determination of double-K fracture parameters of concrete using peakloadmethod[J].Engineering Fracture Mechanics,2014(131):471-484.
[35]ZHANG J,LEUNG C K Y XU S L.Evaluation of fracture parameters of concrete from bending test using inverse analysis approach[J].Materials&Structures,2010,43(6):857-874.
[36]徐世烺,赵国藩.光弹贴片法研究混凝土裂缝扩展过程[J].水利发电学报,1991(3):8-18.
[37]荣华,董伟,吴智敏,等.大初始缝高比混凝土试件双K断裂参数的试验研究[J].工程力学,2012,29(1):162-167.
[38]PETERSSDN P E.Crack growth and development of fracture zones in plain concrete and similar materials[R].Sweden:Division of Building Materials.Lund Institute of Technology,1981.
[39]徐世烺,吴智敏,丁生根.混凝土双K断裂参数的实用解析方法[J].工程力学,2003,20(3):54-61
[40]BUECKNER H F.A novel principle for the computation of stress intensity factors[J].Z Angew Math Mech,1970(50):529-546.
[41]KUMAR S,BARAI S V.Influence of specimen geometry on determination of double-K fracture parameters of concrete:a comparativestudy[J].International Journal of Fracture,2008,2008(749):47-66.
[42]Reinhardt H W,XU S L.Crack extension resistance based on the cohesive force in concrete[J].Engineering Fracture Mechanics,1999(64):563-587.·30·
[43]KUMAR S,BARAI S V.Influence of specimen geometry and sizeeffect on the KR-curve based on the cohesive stress in concrete[J].International Journal of Fracture,200A(152):127-4A.
[44]JENG Y S,SHAH S P.Two parameter fracture model for concrete[J].Journal of Engineering Mechanics,1985,111(10):1227-1241.
[45]卿龙邦,聂雅彤,刘宁,等.基于线性回归的大坝混凝土起裂韧度确定方法[J].水利发电学报,2016,35(8):25-31.
[46]LI Q B,GUAN J F,WU Z M,et al.Fracture behavior of site-casting dam concrete[J].Engineering Fracture Mechanics,2011(78):2115-2138.
[47]ZHANG X,XU S.A comparative study on five approaches to evaluate double-K fracture toughness parameters of concrete and size effect analysis[J].Eng.Eract.Mecb.,2011(78):2115-2138.