静水压力作用下混凝土断裂全过程数值模拟研究
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摘要
基于起裂韧度扩展准则和Paris位移公式,推导了静水压力作用下混凝土楔入劈拉试件外荷载和裂缝张开位移的理论表达式,采用数值迭代方法计算模拟了裂缝断裂全过程。研究了水压力对混凝土断裂全过程的影响,进一步分析了不同水压力作用下峰值荷载和临界裂缝张开位移的参数敏感性。研究结果表明:采用本文方法计算的裂缝扩展全曲线与试验结果对比较好;水压力和初始裂缝长度影响荷载-裂缝张开位移(P-CMOD)曲线,随着水压力的增加,峰值荷载和临界裂缝张开位移均减小;随着初始裂缝长度的增大,水压力对裂缝扩展全过程曲线的影响更加明显。
This paper derives theoretical expressions of the external loads and crack opening displacements of concrete wedge-splitting specimens under hydrostatic pressure, based on the initial fracture toughness criterion and the Paris displacement formula. And a numerical iterative method is used to simulate the specimens' full fracturing process, focusing on analyzing the effect of water pressure,particularly the sensitivity of the peak load parameters and the opening displacement parameters of critical cracks under different water pressures. The results show that the full crack propagation curves calculated using this method agree well with the experimental measurements. Water pressure and initial crack length affect load-displacement curves. With an increasing water pressure, both peak load and critical cracks' opening displacement are reduced; with an increasing initial crack length, more obvious is the influence of water pressure on the full process curve of crack propagation.
This paper derives theoretical expressions of the external loads and crack opening displacements of concrete wedge-splitting specimens under hydrostatic pressure, based on the initial fracture toughness criterion and the Paris displacement formula. And a numerical iterative method is used to simulate the specimens' full fracturing process, focusing on analyzing the effect of water pressure,particularly the sensitivity of the peak load parameters and the opening displacement parameters of critical cracks under different water pressures. The results show that the full crack propagation curves calculated using this method agree well with the experimental measurements. Water pressure and initial crack length affect load-displacement curves. With an increasing water pressure, both peak load and critical cracks' opening displacement are reduced; with an increasing initial crack length, more obvious is the influence of water pressure on the full process curve of crack propagation.
引文
[1]BRüHWILER E,SAOUMA V E.Water fracture interaction in concrete:Part I.Fracture properties[J].ACI Materials Journal,1995,92(3):296-303.
[2]BRüHWILER E,SAOUMA V E.Water fracture interaction in concrete:Part II.Hydrostatic pressure in cracks[J].ACI Materials Journal,1995,92(3):383-390.
[3]SLOWIK V,SAOUMA V E.Water pressure in propagating concrete cracks[J].Journal of Structural Engineering,2000,126(2):235-242.
[4]徐世烺,王建敏.静水压力下混凝土双K断裂参数试验测定[J].水利学报,2007,38(7):792-798.XU Shilang,WANG Jianmin.Experimental determination of double-K fracture parameters of concrete under water pressure[J].Journal of Hydraulic Engineering,2007,38(7):792-798.(in Chinese)
[5]徐世烺,王建敏.水压作用下大坝混凝土裂缝扩展与双K断裂参数[J].土木工程学报,2009,42(2):119-125.XU Shilang,WANG Jianmin.Crack propagation in a concrete dam under water pressure and determination of the double-K fracture parameters[J].China Civil Engineering Journal,2009,42(2):119-125.(in Chinese)
[6]杜成斌,陈小翠,陈玉泉,等.混凝土水力劈裂试验研究[J].水利学报,2017,48(9):1047-1054.DU Chengbin,CHEN Xiaocui,CHEN Yuquan,et al.Experimental research on hydraulic fracture of concrete[J].Journal of Hydraulic Engineering,2017,48(9):1047-1054.(in Chinese)
[7]贾金生,李新宇,郑璀莹.特高重力坝考虑高压水劈裂影响的初步研究[J].水利学报,2006,37(12):1509-1515.JIA Jinsheng,LI Xinyu,ZHENG Cuiying.Studies on safety problem of high gravity dams higher than 200m with consideration of hydraulic fracturing under water pressure[J].Journal of Hydraulic Engineering,2006,37(12):1509-1515.(in Chinese)
[8]SEGURA M,CAROL I.Numerical modeling of pressurized fracture evolution in concrete using zerothickness interface elements[J].Engineering Fracture Mechanics,2010,77(9):1386-1399.
[9]方修君,金峰.裂隙水流与混凝土开裂相互作用的耦合模型[J].水利学报,2007,38(12):1466-1474.FANG Xiujun,JIN Feng.Coupling model for interaction between fissure water and cracking in concrete[J].Journal of Hydraulic Engineering,2007,38(12):1466-1474.(in Chinese)
[10]XU S L,REINHARDT H W.Determination of double-Kcriterion for crack propagation in quasi-brittle fracture,Part I:Experimental investigation of crack propagation[J].International Journal of Fracture,1999,98(2):111-149.
[11]XU S L,REINHARDT H W.Determination of double-Kcriterion 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.
[12]JENQ Y S,SHAH S P.A fracture toughness criterion for concrete[J].Engineering Fracture Mechanics,1985,21(5):1055-1069.
[13]TADA H,PARIS P C,IRWIN G R.The stress analysis of crack handbook[M].New York:ASME Press,2000.
[14]吴智敏,董伟,刘康,等.混凝土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(12):1453-1459.WU Zhinmin,DONG Wei,LIU Kang,et al.Model I crack propagation criterion of concrete and numerical simulation on complete process of cracking[J].Journal of Hydraulic Engineering,2007,38(12):1453-1459.(in Chinese)
[15]DONG W,WU Z M,ZHOU X M.Calculating crack extension resistance of concrete based on a new crack propagation criterion[J].Construction&Building Materials,2013,38(2):879-889.
[16]PARIS P C,ERDOGAN F.A critical analysis of crack propagation laws[J].Journal of Basic Engineering,1963,85(4):528-533.
[17]REINHARDT H W,CORNELISSEN H A W,HORDIJK DA.Tensile tests and failure analysis of concrete[J].Journal of Structural Engineering,1986,112(11):2462-2477.
[18]管俊峰,卿龙邦,赵顺波.混凝土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):143-148.GUAN Junfeng,QING Longbang,ZHAO Shunbo.Research on numerical simulation on the whole cracking processes of three-point bending notch concrete beams[J].Chinese Journal of Computer Mechanics,2013,30(1):143-148.(in Chinese)
[19]混凝土结构设计规范:GB 50010-2010[S].北京:中国建筑工业出版社,2011.Code for design of concrete structures:GB 50010-2010[S].Beijing:China Architecture&Building Press,2011.(in Chinese)
[2]BRüHWILER E,SAOUMA V E.Water fracture interaction in concrete:Part II.Hydrostatic pressure in cracks[J].ACI Materials Journal,1995,92(3):383-390.
[3]SLOWIK V,SAOUMA V E.Water pressure in propagating concrete cracks[J].Journal of Structural Engineering,2000,126(2):235-242.
[4]徐世烺,王建敏.静水压力下混凝土双K断裂参数试验测定[J].水利学报,2007,38(7):792-798.XU Shilang,WANG Jianmin.Experimental determination of double-K fracture parameters of concrete under water pressure[J].Journal of Hydraulic Engineering,2007,38(7):792-798.(in Chinese)
[5]徐世烺,王建敏.水压作用下大坝混凝土裂缝扩展与双K断裂参数[J].土木工程学报,2009,42(2):119-125.XU Shilang,WANG Jianmin.Crack propagation in a concrete dam under water pressure and determination of the double-K fracture parameters[J].China Civil Engineering Journal,2009,42(2):119-125.(in Chinese)
[6]杜成斌,陈小翠,陈玉泉,等.混凝土水力劈裂试验研究[J].水利学报,2017,48(9):1047-1054.DU Chengbin,CHEN Xiaocui,CHEN Yuquan,et al.Experimental research on hydraulic fracture of concrete[J].Journal of Hydraulic Engineering,2017,48(9):1047-1054.(in Chinese)
[7]贾金生,李新宇,郑璀莹.特高重力坝考虑高压水劈裂影响的初步研究[J].水利学报,2006,37(12):1509-1515.JIA Jinsheng,LI Xinyu,ZHENG Cuiying.Studies on safety problem of high gravity dams higher than 200m with consideration of hydraulic fracturing under water pressure[J].Journal of Hydraulic Engineering,2006,37(12):1509-1515.(in Chinese)
[8]SEGURA M,CAROL I.Numerical modeling of pressurized fracture evolution in concrete using zerothickness interface elements[J].Engineering Fracture Mechanics,2010,77(9):1386-1399.
[9]方修君,金峰.裂隙水流与混凝土开裂相互作用的耦合模型[J].水利学报,2007,38(12):1466-1474.FANG Xiujun,JIN Feng.Coupling model for interaction between fissure water and cracking in concrete[J].Journal of Hydraulic Engineering,2007,38(12):1466-1474.(in Chinese)
[10]XU S L,REINHARDT H W.Determination of double-Kcriterion for crack propagation in quasi-brittle fracture,Part I:Experimental investigation of crack propagation[J].International Journal of Fracture,1999,98(2):111-149.
[11]XU S L,REINHARDT H W.Determination of double-Kcriterion 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.
[12]JENQ Y S,SHAH S P.A fracture toughness criterion for concrete[J].Engineering Fracture Mechanics,1985,21(5):1055-1069.
[13]TADA H,PARIS P C,IRWIN G R.The stress analysis of crack handbook[M].New York:ASME Press,2000.
[14]吴智敏,董伟,刘康,等.混凝土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(12):1453-1459.WU Zhinmin,DONG Wei,LIU Kang,et al.Model I crack propagation criterion of concrete and numerical simulation on complete process of cracking[J].Journal of Hydraulic Engineering,2007,38(12):1453-1459.(in Chinese)
[15]DONG W,WU Z M,ZHOU X M.Calculating crack extension resistance of concrete based on a new crack propagation criterion[J].Construction&Building Materials,2013,38(2):879-889.
[16]PARIS P C,ERDOGAN F.A critical analysis of crack propagation laws[J].Journal of Basic Engineering,1963,85(4):528-533.
[17]REINHARDT H W,CORNELISSEN H A W,HORDIJK DA.Tensile tests and failure analysis of concrete[J].Journal of Structural Engineering,1986,112(11):2462-2477.
[18]管俊峰,卿龙邦,赵顺波.混凝土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):143-148.GUAN Junfeng,QING Longbang,ZHAO Shunbo.Research on numerical simulation on the whole cracking processes of three-point bending notch concrete beams[J].Chinese Journal of Computer Mechanics,2013,30(1):143-148.(in Chinese)
[19]混凝土结构设计规范:GB 50010-2010[S].北京:中国建筑工业出版社,2011.Code for design of concrete structures:GB 50010-2010[S].Beijing:China Architecture&Building Press,2011.(in Chinese)