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基于双K模型的混凝土黏聚断裂韧度确定方法分析
Analysis of Determination Method of Cohesive Fracture Toughness of Concrete Based on Double-K Model
2023年第3期
混凝土;双K模型;黏聚断裂韧度;黏聚应力;计算方法
Concrete; Double-K model; Cohesive fracture toughness; Bond stress; Calculation method
2023年第3期
10.19761/j.1000-4637.2023.03.015.05
左咏梅1,郭章雷1,刘 牧2
1.河北工程大学 土木工程学院,河北 邯郸 056038;2.邯郸市城市规划展览馆管理处,河北 邯郸056008

左咏梅1,郭章雷1,刘 牧2

左咏梅,郭章雷,刘牧.基于双K模型的混凝土黏聚断裂韧度确定方法分析[J].混凝土与水泥制品,2023(3):15-19.

ZUO Y M,GUO Z L,LIU M.Analysis of Determination Method of Cohesive Fracture Toughness of Concrete Based on Double-K Model[J].China Concrete and Cement Products,2023(3):15-19.

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摘   要:总结了目前确定黏聚断裂韧度KIcc的多种方法,如高斯-切比雪夫积分法、等效力法、窄条断裂模型法、权函数法、简化格林函数法、实用插值法等,介绍了这些方法的使用步骤和结果精度,并对结果进行了对比分析。分析结果表明,虽然基于不同方法求解的混凝土黏聚断裂韧度KIcc略有误差,但仍能满足工程需求,可根据需求选择不同的方法求解。 Abstract: The current methods for determining the cohesive fracture toughness KIcc, such as Gauss-Chebyshev integration method, equivalent effectiveness method, narrow strip fracture model method, weight function method, simplified Green function method, practical interpolation method, and so on, are summarized, the procedures for using these various methods and the accuracy of the results are described and the results are compared and analyzed. The analyzed results show that the cohesive fracture toughness KIcc of concrete obtained by the different methods is slightly inaccurate, it still meets the needs of engineering use and can be solved by different methods depending on the needs.
英文名 : Analysis of Determination Method of Cohesive Fracture Toughness of Concrete Based on Double-K Model
刊期 : 2023年第3期
关键词 : 混凝土;双K模型;黏聚断裂韧度;黏聚应力;计算方法
Key words : Concrete; Double-K model; Cohesive fracture toughness; Bond stress; Calculation method
刊期 : 2023年第3期
DOI : 10.19761/j.1000-4637.2023.03.015.05
文章编号 :
基金项目 :
作者 : 左咏梅1,郭章雷1,刘 牧2
单位 : 1.河北工程大学 土木工程学院,河北 邯郸 056038;2.邯郸市城市规划展览馆管理处,河北 邯郸056008

左咏梅1,郭章雷1,刘 牧2

左咏梅,郭章雷,刘牧.基于双K模型的混凝土黏聚断裂韧度确定方法分析[J].混凝土与水泥制品,2023(3):15-19.

ZUO Y M,GUO Z L,LIU M.Analysis of Determination Method of Cohesive Fracture Toughness of Concrete Based on Double-K Model[J].China Concrete and Cement Products,2023(3):15-19.

摘要
参数
结论
参考文献
引用本文

摘   要:总结了目前确定黏聚断裂韧度KIcc的多种方法,如高斯-切比雪夫积分法、等效力法、窄条断裂模型法、权函数法、简化格林函数法、实用插值法等,介绍了这些方法的使用步骤和结果精度,并对结果进行了对比分析。分析结果表明,虽然基于不同方法求解的混凝土黏聚断裂韧度KIcc略有误差,但仍能满足工程需求,可根据需求选择不同的方法求解。

Abstract: The current methods for determining the cohesive fracture toughness KIcc, such as Gauss-Chebyshev integration method, equivalent effectiveness method, narrow strip fracture model method, weight function method, simplified Green function method, practical interpolation method, and so on, are summarized, the procedures for using these various methods and the accuracy of the results are described and the results are compared and analyzed. The analyzed results show that the cohesive fracture toughness KIcc of concrete obtained by the different methods is slightly inaccurate, it still meets the needs of engineering use and can be solved by different methods depending on the needs.

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经过分析比较可知,黏聚韧度KIcc的计算式(5)采用高斯-切比雪夫积分法积分比较慢,而采用高斯-切比雪夫-理查森积分法时,只需迭代7次即可获得稳定解,迭代9次产生更精确的解;因式(5)的积分上限存在奇异性,为解决积分式的求解问题,徐世烺提出等效力法,由等效合力Pe代替分布黏聚应力?滓(x),计算结果与高斯-切比雪夫积分法非常吻合,并且可以在较大的范围内代替高斯-切比雪夫法计算KIcc;修正积分法采用与Dugdale-Arenblaff法原理相似的方法推导出断裂区长度l与裂缝等效裂纹长度?驻a和KIcc的关系,进而求出KIcc;在权函数法中的权函数系数由最小二乘法回归分析得出,其结果与格林函数相比仅有3%的误差,可满足工程使用要求,当采用五项权函数时,其误差会更小,仅为1%;简化格林函数法将大幅减少格林函数的计算量且计算结果也可满足工程使用的要求;实用插值法简化了计算过程,方便现场工程人员使用,且精度也能满足工程需求。

[1] KAPLAN M F.Crack Propagation and the Fracture of Concrete[J].Journal of the American Concrete Institute,1961,58(11):591-610.
[2] 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,1976,6:773-781.
[3] KUMAR S,PANDEY S R,SRIVASTAVA A K L.Analytical Methods for Determination of Double-K Fracture Parameters of Concrete[J].Advances in Concrete Construction,2013,1(4):319-340.
[4] JENQ Y S,SHAH S P.A Fracture Toughness Criterion for Concrete[J].Engineering Fracture Mechanics,1985,21(5):1055-1069.
[5] XU S L,REINHARDT H W.Determination of Double-K Criterion for Crack Propagation in Quasi-brittle Fracture, Part Ⅱ: Analytical Evaluating and Practical Measuring Methods for Three-point Bending Notched Beams[J].International Journal of Fracture,1999,98(2):151-177.
[6] 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(2):181-209.
[7] 徐世烺,张秀芳,卜丹.混凝土裂缝扩展过程中裂尖张开口位移(CTOD)与裂缝嘴张开口位移(CMOD)的变化关系分析[J].工程力学,2011,28(5):64-70.
[8] 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(S2):20-33.
[9] REINHARDT H W,CORNELISSEN H A W,HORDIJK D A.Tensile Tests and Failure Analysis of Concrete[J].Journal of Structural Engineering,1986,112(11):2462-2477.
[10] 徐世烺,赵国藩.混凝土窄条断裂区模型及其应用[J].大连理工大学学报,1993,33(1):57-64.
[11] 熊松波.混凝土断裂参数厚度尺寸效应及窄条断裂区模型改进研究[D].杭州:浙江大学,2017.
[12] BUECKNER H F.Novel Principle for the Computation of Stress Intensity Factors[J].Zeitschrift fuer Angewandte Mathematik Mechanik,1970,50(9):529-546.
[13] GLINKA G,SHEN G.Universal Features of Weight Functions for Cracks in Mode Ⅰ[J].Engineering Fracture Mechanics,1991,40(6):1135-1146.
[14] SHEN G,GLINKA G.Determination of Weight Functions from Reference Stress Intensity Factors[J].Theoretical and Applied Fracture Mechanics,1991,15(3):237-245.
[15] 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.
[16] KUMAR S,BARAI S V.Determining the Double-K Fracture Parameters for Three-point Bending Notched Concrete Beams Using Weight Function[J].Fatigue and Fracture of Engineering Materials and Structures,2010,33(10):645-660.
[17] XU S L.Determination of Parameters in the Bilinear, Reinhardt’s Non-linear and Exponentially Non-linear Softening Curves and Their Physical Meanings[J].Libri Bod,1999,15:410-424.
[18] 张秀芳,徐世烺.权函数法计算的混凝土断裂韧度[J].工程力学,2011,28(4):58-62.
[19] 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(3):54-61.
[20] 丁生根.基于虚拟裂缝内聚力的砼双K断裂参数、K-阻力曲线研究[D].大连:大连理工大学,2001.
[21] 高洪波,徐世烺,吴智敏,等.双 K 断裂模型粘聚韧度KIcc实用插值计算方法[J].计算力学学报,2010,27(1):47-52.

左咏梅,郭章雷,刘牧.基于双K模型的混凝土黏聚断裂韧度确定方法分析[J].混凝土与水泥制品,2023(3):15-19.

ZUO Y M,GUO Z L,LIU M.Analysis of Determination Method of Cohesive Fracture Toughness of Concrete Based on Double-K Model[J].China Concrete and Cement Products,2023(3):15-19.

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