邓宗才 , 王辉 , 刘岩 . 生态钢纤维混凝土弯曲韧性和断裂性能 [J]. 建筑科学与工程学报 , 2017 , 34 ( 2 ): 111 - 118 .

DENG Z C , WANG H , LIU Y . Flexural toughness and fracture properties of ecological steel fiber reinforced concrete [J]. Journal of Architecture and Civil Engineering , 2017 , 34 ( 2 ): 111 - 118 . (in Chinese)

王志杰 , 李瑞尧 , 徐君祥 , 等 . 混杂复合纤维高性能混凝土断裂性能研究 [J]. 路基工程 , 2020 ( 3 ): 81 - 85 .

WANG Z J , LI R Y , XU J X , et al . Study on fracture property of high performance concrete reinforced by fiber hybrid composite [J]. Subgrade Engineering , 2020 ( 3 ): 81 - 85 . (in Chinese)

TOUTANJI H A . Properties of polypropylene fiber reinforced silica fume expansive-cement concrete [J]. Construction and Building Materials , 1999 , 13 ( 4 ): 171 - 177 .

REIS J M L , FERREIRA A J M . A contribution to the study of the fracture energy of polymer concrete and fibre reinforced polymer concrete [J]. Polymer Testing , 2004 , 23 ( 4 ): 437 - 440 .

BRANSTON J , DAS S , KENNO S Y , et al . Mechanical behaviour of basalt fibre reinforced concrete [J]. Construction and Building Materials , 2016 , 124 : 878 - 886 .

汪炅 . 玄武岩纤维混凝土抗压强度和劈拉强度的研究 [J]. 建筑施工 , 2018 , 40 ( 1 ): 87 - 89 .

WANG J . Research on compressive strength and splitting tensile strength of basalt fiber reinforced concrete(BFRC) [J]. Building Construction , 2018 , 40 ( 1 ): 87 - 89 . (in Chinese)

王新忠 , 李传习 , 凌锦育 , 等 . 玄武岩纤维混凝土早期裂缝试验研究 [J]. 硅酸盐通报 , 2017 , 36 ( 11 ): 3860 - 3866 .

WANG X Z , LI C X , LING J Y , et al . Experimental study on early crack of basalt fiber reinforced concrete [J]. Bulletin of the Chinese Ceramic Society , 2017 , 36 ( 11 ): 3860 - 3866 . (in Chinese)

徐世烺 , 赵艳华 . 混凝土裂缝扩展的断裂过程准则与解析 [J]. 工程力学 , 2008 , 25 ( Sup2 ): 20 - 33 .

XU S L , ZHAO Y H . Analysis and criterion of fracture process for crack propagation in concrete [J]. Engineering Mechanics , 2008 , 25 ( Sup2 ): 20 - 33 . (in Chinese)

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 .

XU S L , ZHAO G F . A double-K fracture criterion for the crack propagation in concrete structures [J]. China Civil Engineering Journal , 1992 , 25 ( 2 ): 32 - 38 . (in Chinese)

吴智敏 , 徐世烺 , 王金来 , 等 . 三点弯曲梁法研究砼双K断裂参数及其尺寸效应 [J]. 水力发电学报 , 2000 , 19 ( 4 ): 16 - 24 .

WU Z M , XU S L , WANG J L , et al . Double-K fracture parameter of concrete and its size effect by using three point bending beam method [J]. Journal of Hydroelectric Engineering , 2000 , 19 ( 4 ): 16 - 24 . (in Chinese)

Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams [J]. Materials and Structures , 1985 , 18 ( 4 ): 287 - 290 .

LIU X Y , LI Z C . Determining double-K fracture parameters of concrete only by the measured peak load [J]. Theoretical and Applied Fracture Mechanics , 2016 , 85 : 412 - 423 .

JENQ Y S , SHAH S P . A Fracture toughness criterion for concrete [J]. Engineering Fracture Mechanics , 1985 , 21 ( 5 ): 1055 - 1069 .

李霞 , 王利民 , 徐世烺 , 等 . 混凝土软化本构关系与失稳断裂参数的计算 [J]. 青岛理工大学学报 , 2019 , 40 ( 4 ): 6 - 12,63 .

LI X , WANG L M , XU S L , et al . Softening constitutive relationship and calculation of instability fracture parameters of concrete [J]. Journal of Qingdao University of Technology , 2019 , 40 ( 4 ): 6 - 12,63 . (in Chinese)

徐世烺 . 混凝土断裂力学 [M]. 北京 : 科学出版社 , 2011 .

XU S L Fracture mechanics of concrete [M]. Beijing : Science Publishing Company , 2011 . (in Chinese)

余啟春 , 陈红鸟 , 王德强 , 等 . 基于P-CMOD曲线确定混凝土断裂能及尺寸效应分析 [J]. 混凝土 , 2020 ( 6 ): 47 - 52 .

YU Q C , CHEN H N , WANG D Q , et al . Size-effect analysis and determination of fracture energy of concrete based on P-CMOD curves [J]. Concrete , 2020 ( 6 ): 47 - 52 . (in Chinese)

王文斌 . 混凝土断裂性能的细观数值模拟研究 [D]. 大连 : 大连理工大学 , 2014 .

WANG W B . Numerical simulation on fracture properties of concrete by the mesoscale method [D]. Dalian, China : Dalian University of Technology , 2014 . (in Chinese)

徐世烺 , 余秀丽 , 李庆华 . 电测法确定低强混凝土裂缝起裂和等效裂缝长度 [J]. 工程力学 , 2015 , 32 ( 12 ): 84 - 89 .

XU S L , YU X L , LI Q H . Determination of crack initiation and equivalent crack length of low strength concrete using strain gauges [J]. Engineering Mechanics , 2015 , 32 ( 12 ): 84 - 89 . (in Chinese)

高淑玲 , 徐世烺 . 电测法确定混凝土裂缝的临界长度 [J]. 清华大学学报(自然科学版) , 2007 , 47 ( 9 ): 1432 - 1434 .

GAO S L , XU S L . Critical concrete crack length determination using strain gauges [J]. Journal of Tsinghua University (Science and Technology) , 2007 , 47 ( 9 ): 1432 - 1434 . (in Chinese)

水工混凝土断裂试验规程: DL/T 5332—2005 [M]. 北京 : 中国电力出版社 , 2005 .

Norm for fracture test of hydraulic concrete : DL/T5332—2005 [S]. Beijing : China Electric Power Press , 2005 . (in Chinese)

徐世烺 , 吴智敏 , 丁生根 . 砼双K断裂参数的实用解析方法 [J]. 工程力学 , 2003 , 20 ( 3 ): 54 - 61 .

XU S L , WU Z M , DING S G . A practical analytical approach to the determination of double-K fracture parameters of concrete [J]. Engineering Mechanics , 2003 , 20 ( 3 ): 54 - 61 . (in Chinese)

HILLERBORG A , MODÉER 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 ( 6 ): 773 - 781 .

Draft recommendation: "Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams" [J]. Materials and Structures , 1985 , 18 ( 6 ): 484 .

JENQ Y S , SHAH S P . Crack propagation in fiber-reinforced concrete [J]. Journal of Structural Engineering , 1986 , 112 ( 1 ): 19 - 34 .

易志坚 , 杨庆国 , 李祖伟 , 等 . 基于断裂力学原理的纤维砼阻裂机理分析 [J]. 重庆交通学院学报 , 2004 , 23 ( 6 ): 43 - 45 .

YI Z J , YANG Q G , LI Z W , et al . Use of fracture mechanics concept to interpret crack resistance behavior of fiber reinforced concrete [J]. Journal of Chongqing Jiaotong University , 2004 , 23 ( 6 ): 43 - 45 . (in Chinese)