损伤与断裂耦合效应的能量理论研究及应用
|
摘要
以Ⅰ型裂纹为主要研究对象,基于能量法和损伤能量释放率的概念,推导出一种用于描述裂纹尖端邻域内损伤场与断裂场的耦合效应参数:损伤型能量释放率.运用双G模型理论,应用ANSYS仿真分析三点弯曲梁的裂纹扩展过程,把得到的损伤型能量释放率结果与损伤断裂的参数进行对比分析.结合盖下拱坝工程有限元模型,将人工底缝前沿损伤型的能量释放率、平均损伤、能量释放率以及损伤能量释放率4者随水位变化的发展进行比较,说明该参数可以综合考虑损伤与断裂的耦合效应.此外,建立了该参数的应用模式.
A mode Ⅰ crack was regarded as the main research focus in this study.Based on the energy method and the concept of the damage energy release rate,a parameter,namely the damage energy release rate,that describes the coupling effect of the damage field and fracture field in the crack tip neighborhood was deduced.Based on the dual-G energy criterion,ANSYS simulation was used to analyze the crack propagation process of a three-point bending beam,and the solution of the damage energy release rate was compared with the damage fracture parameters.Using the FEM model of the Gaixia Arch Dam in Chongqing,the variations of the damage energy release rate at the front of the base joint,the average damage,the energy release rate,and the damage energy release rate with the change of water level were compared,in order to demonstrate that the parameter can take into integrated consideration the coupling effect of the damage and fracture.The application mode of the parameter was also established.
A mode Ⅰ crack was regarded as the main research focus in this study.Based on the energy method and the concept of the damage energy release rate,a parameter,namely the damage energy release rate,that describes the coupling effect of the damage field and fracture field in the crack tip neighborhood was deduced.Based on the dual-G energy criterion,ANSYS simulation was used to analyze the crack propagation process of a three-point bending beam,and the solution of the damage energy release rate was compared with the damage fracture parameters.Using the FEM model of the Gaixia Arch Dam in Chongqing,the variations of the damage energy release rate at the front of the base joint,the average damage,the energy release rate,and the damage energy release rate with the change of water level were compared,in order to demonstrate that the parameter can take into integrated consideration the coupling effect of the damage and fracture.The application mode of the parameter was also established.
引文
[1]孙雅珍,余天庆.混凝土破坏的断裂与损伤耦合分析[J].沈阳建筑大学学报:自然科学版,2006,22(1):53-56.(SUN Ya-zhen,YU Tian-qing.Coupling analysis of fracture and damage mechanics of concrete failure[J].Journal of Shenyang Jianzhu University:Natural Science,2006,22(1):53-56.(in Chinese))
[2]田佳琳,李庆斌.混凝土Ⅰ型裂缝的静力断裂损伤耦合分析[J].水利学报,2007,38(2):205-210.(TIAN Jia-lin,LI Qing-bin.Fracture-damage coupled analysis for modeⅠcracking in concrete under static load[J].Journal of Hydraulic Engineering,2007,38(2):205-210.(in Chinese))
[3]张秀芳,徐世■.用能量方法研究混凝土断裂过程区的力学性能[J].工程力学,2008,25(7):18-23.(ZHANG Xiu-fang,XUSh-i lang.A study on mechanical behavior of fracture process zone in concrete using energy approach[J].Engineering Mechanics,2008,25(7):18-23.(in Chinese))
[4]刘芳.混凝土断裂过程区的研究和应用[D].南京:河海大学,2009.
[5]何建涛,马怀发,陈厚群.混凝土损伤本构理论研究综述[J].水利水电科技进展,2010,30(3):89-92.(HE Jian-tao,MA Hua-ifa,CHEN Hou-qun.Research review on concrete damage constitutive theory[J].Advances in Science and Technology of WaterResources,2010,30(3):89-92.(in Chinese))
[6]姚婷,杜成斌,孙立国.含缺陷混凝土细观损伤破坏过程的数值模拟[J].河海大学学报:自然科学版,2011,39(1):66-71.(YAO Ting,DU Cheng-bin,SUN L-i guo.Numerical simulation ofmeso-damage and failure process of concretewith defects[J].Journal ofHohai University:Natural Sciences,2011,39(1):66-71.(in Chinese))
[7]何敏,张东焕,王利民,等.混凝土断裂过程区拉伸软化的本构关系[J].水利水电科技进展,2010,30(4):8-11.(HE Min,ZHANG Dong-huan,WANG L-i min,et al.Constitutive relation for tension softening of concrete in fracture process zone[J].Advances inScience and Technology of Water Resources,2010,30(4):8-11.(in Chinese))
[8]JENQ Y S,SHAH S P.A fracture toughness criterion for concrete[J].Journal of Engineering Mechanics,ASCE,1985,21(5):1055-1069.
[9]徐世■,赵国藩.混凝土断裂力学研究[M].大连:大连理工大学出版社,1991.
[10]赵艳华,徐世■,吴智敏.混凝土结构裂缝扩展的双G准则[J].土木工程学报,2004,37(10):13-18.(ZHAO Yan-hua,XU Sh-ilang,WU Zh-i min.A dua-l G criterion for crack propagation in concrete structures[J].China Civil Engineering Journal,2004,37(10):13-18.(in Chinese))
[11]李灏.损伤力学基础[M].济南:山东科学技术出版社,1992.
[12]尹双增.断裂损伤理论及应用[M].北京:清华大学出版社,1992.
[13]卓鹏飞,安丽媛,孙伟伟.应用能量法的混凝土损伤断裂耦合分析[EB/OL].[2011-03-20].http://www.paper.edu.cn/index.php/default/releasepaper/content/2011-03-25.
[14]RAJU I S.Calculation of strain-energy release rates with high-order and singular finite-elements[J].Engineering Fracture Mechanics,1987,28:251-274.
[15]江守燕,杜成斌,陈灯红.NamNgum5水电站分缝重力拱坝地震响应分析[J].河海大学学报:自然科学版,2010,38(3):308-312.(JIANG Shou-yan,DU Cheng-bin,CHEN Deng-hong.Seismic response analysis of gravity jointed arch dam of Nam Ngum5Hydropower Station[J].Journal ofHohai University:Natural Sciences,2010,38(3):308-312.(in Chinese))
[16]RESCHER O J.Arch dams with an upstream base joint[J].Water Power and Dam Construction,1993(3):17-25.
[17]邵勇.基于线弹性断裂力学的高拱坝底缝分析[D].南京:河海大学,2005.
[18]WITOMB J D.Three-dimensional analysis of a postbuckled embedded delamination[J].Journal of Composite Materials,1989,23:862-889.
[19]RAJU I S,SISTLA R,KRISHNAMURTHY T.Fracture mechanics analysis for skin-stiffener debonding[J].Engineering FractureMechanics,1996,54:371-385.
[20]WANG J T,RAJU I S.Strain energy release rate formulae for skin-stiffener debond modeled with plate elements[J].EngineeringFracture Mechanics,1996,54:211-228.
[2]田佳琳,李庆斌.混凝土Ⅰ型裂缝的静力断裂损伤耦合分析[J].水利学报,2007,38(2):205-210.(TIAN Jia-lin,LI Qing-bin.Fracture-damage coupled analysis for modeⅠcracking in concrete under static load[J].Journal of Hydraulic Engineering,2007,38(2):205-210.(in Chinese))
[3]张秀芳,徐世■.用能量方法研究混凝土断裂过程区的力学性能[J].工程力学,2008,25(7):18-23.(ZHANG Xiu-fang,XUSh-i lang.A study on mechanical behavior of fracture process zone in concrete using energy approach[J].Engineering Mechanics,2008,25(7):18-23.(in Chinese))
[4]刘芳.混凝土断裂过程区的研究和应用[D].南京:河海大学,2009.
[5]何建涛,马怀发,陈厚群.混凝土损伤本构理论研究综述[J].水利水电科技进展,2010,30(3):89-92.(HE Jian-tao,MA Hua-ifa,CHEN Hou-qun.Research review on concrete damage constitutive theory[J].Advances in Science and Technology of WaterResources,2010,30(3):89-92.(in Chinese))
[6]姚婷,杜成斌,孙立国.含缺陷混凝土细观损伤破坏过程的数值模拟[J].河海大学学报:自然科学版,2011,39(1):66-71.(YAO Ting,DU Cheng-bin,SUN L-i guo.Numerical simulation ofmeso-damage and failure process of concretewith defects[J].Journal ofHohai University:Natural Sciences,2011,39(1):66-71.(in Chinese))
[7]何敏,张东焕,王利民,等.混凝土断裂过程区拉伸软化的本构关系[J].水利水电科技进展,2010,30(4):8-11.(HE Min,ZHANG Dong-huan,WANG L-i min,et al.Constitutive relation for tension softening of concrete in fracture process zone[J].Advances inScience and Technology of Water Resources,2010,30(4):8-11.(in Chinese))
[8]JENQ Y S,SHAH S P.A fracture toughness criterion for concrete[J].Journal of Engineering Mechanics,ASCE,1985,21(5):1055-1069.
[9]徐世■,赵国藩.混凝土断裂力学研究[M].大连:大连理工大学出版社,1991.
[10]赵艳华,徐世■,吴智敏.混凝土结构裂缝扩展的双G准则[J].土木工程学报,2004,37(10):13-18.(ZHAO Yan-hua,XU Sh-ilang,WU Zh-i min.A dua-l G criterion for crack propagation in concrete structures[J].China Civil Engineering Journal,2004,37(10):13-18.(in Chinese))
[11]李灏.损伤力学基础[M].济南:山东科学技术出版社,1992.
[12]尹双增.断裂损伤理论及应用[M].北京:清华大学出版社,1992.
[13]卓鹏飞,安丽媛,孙伟伟.应用能量法的混凝土损伤断裂耦合分析[EB/OL].[2011-03-20].http://www.paper.edu.cn/index.php/default/releasepaper/content/2011-03-25.
[14]RAJU I S.Calculation of strain-energy release rates with high-order and singular finite-elements[J].Engineering Fracture Mechanics,1987,28:251-274.
[15]江守燕,杜成斌,陈灯红.NamNgum5水电站分缝重力拱坝地震响应分析[J].河海大学学报:自然科学版,2010,38(3):308-312.(JIANG Shou-yan,DU Cheng-bin,CHEN Deng-hong.Seismic response analysis of gravity jointed arch dam of Nam Ngum5Hydropower Station[J].Journal ofHohai University:Natural Sciences,2010,38(3):308-312.(in Chinese))
[16]RESCHER O J.Arch dams with an upstream base joint[J].Water Power and Dam Construction,1993(3):17-25.
[17]邵勇.基于线弹性断裂力学的高拱坝底缝分析[D].南京:河海大学,2005.
[18]WITOMB J D.Three-dimensional analysis of a postbuckled embedded delamination[J].Journal of Composite Materials,1989,23:862-889.
[19]RAJU I S,SISTLA R,KRISHNAMURTHY T.Fracture mechanics analysis for skin-stiffener debonding[J].Engineering FractureMechanics,1996,54:371-385.
[20]WANG J T,RAJU I S.Strain energy release rate formulae for skin-stiffener debond modeled with plate elements[J].EngineeringFracture Mechanics,1996,54:211-228.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心