压载条件下裂纹断裂扩展的位移不连续数值分析
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摘要
以土木工程中普遍存在的压缩荷载作用下裂纹扩展演化问题为研究背景 ,通过建立闭合裂纹表面接触阻力的缓和迭代及复合型裂纹尖端应力强度因子 K 、K 的数值渐近解法 ,将位移不连续数值方法 (DDM)应用于压载条件下二维复合型裂纹的断裂扩展分析 ,取得了与理论和实验吻合的计算结果 .所用方法能有效地避免裂纹尖端采用奇异单元及开裂过程单元重划分的繁琐 ,解决了裂纹闭合状态下缝面阻力的合理模拟 ,对压载复合裂纹问题分析有一定参考意义 .
In order to research the problem of compressed crack propagation exiting in civil engineering, a displacement discontinuity method (DDM) was applied to solve the crack propagation problem of two- dimension complex joints under compressing load by establishing the iteration method based on contact resistance mitigation and numerical calculating method of stress intensity factor K_Ⅰ,K_Ⅱ of complex joints. It is shown that the numerical results well agree with the experimental results. The paper provided a way for simulating the contact resistance of crack. It makes complexity of using odd mesh and re-making mesh as the procedure of crack propagation can avoided, and gives some reference for solving dynamical propagation of compressed complex crack in civil engineering.
In order to research the problem of compressed crack propagation exiting in civil engineering, a displacement discontinuity method (DDM) was applied to solve the crack propagation problem of two- dimension complex joints under compressing load by establishing the iteration method based on contact resistance mitigation and numerical calculating method of stress intensity factor K_Ⅰ,K_Ⅱ of complex joints. It is shown that the numerical results well agree with the experimental results. The paper provided a way for simulating the contact resistance of crack. It makes complexity of using odd mesh and re-making mesh as the procedure of crack propagation can avoided, and gives some reference for solving dynamical propagation of compressed complex crack in civil engineering.
引文
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[17] 黎在良,王元汉,李廷芥.断裂力学中的边界数值方法[M].北京:地震出版社,1996.
[18] ShouKeh- jian,NapierJ A L.A two- dimensionallinear variation displacem ent discontinuity m ethodfor three- layered elastic media[J].InternationalJournal ofRockMechanics andMiningSciences,1999,36(1):35～44.
[19] IvanovA P.Stability of periodic solutions indiscon-tinuous systems in the presence of multiple intersec-tions with jum p surfaces[J].AppliedMath andMechanics,1999,62(5):633～638.
[20] StephanssonS B.Modification of theG- criterion forcrack propagation subjected to com pression[J].EngFractureMech,1994,11(3):307～314.
[21] 朱元奎,刘光廷.不连续位移超奇异积分方程法解三维多裂纹问题[J].工程力学,1997,14(2):277～282.
[2] GuzA N.Dynamic problems of the m echanics of thebrittle fracture of m aterials with initial stresses formoving cracks[J].InternationalAppliedMechan-ics,1998,34(12):1023～1030.
[3] 陈瑞峰.压载对裂纹超载迟滞作用的影响[J].大连理工大学学报,1997,37(1):35～39.
[4] 范天佑,张良欣,SuttonM A.硬化材料的平面应力稳态裂纹扩展[J].科学通报,1997,42(11):905～908.
[5] 宋显辉,江 冰.陶瓷材料裂纹扩展非局部理论[J].硅酸盐通报,1997,16(2):123～128.
[6] 包亦望,SteinR W.玻璃在平面双向和单向应力状态下慢裂纹扩展性[J].硅酸盐通报,1998,26(5):535～540.
[7] 庄 茁.能量平衡结合有限元数值计算分析天然气管道裂纹稳定扩展问题[J].工程力学,1997,14(2):136～142.
[8] 陈天智,吴智深,岑章志,等.用Galerkin边界元子域法进行裂纹扩展分析[J].工程力学,1998(增刊1):281～284.
[9] 涂金良,刘光廷,张镜剑.裂缝在压剪条件下的应力场和扩展能[J].清华大学学报,1996,36(1):23～27.
[10] 杨庆生,杨 卫.断裂过程的有限元模拟[J].计算力学学报,1997,14(4):407～412.
[11] CrouchS L,StarfieldA M.Boundary elementm eth-ods in solid mechanics[M].L ondon:GerogeAllen&U nwin,1983.
[12] ChenChao- shi,PanE,AmadeiB.Fracture mechan-ics analysis of cracked discs of anisotropic rock usingthe boundary elem ent method[J].InternationalJournal ofRockMechanics andMiningSciences,1998,35(2):155～162.
[13] PanE,AmadeiB,KimY I.2-D BEM analysis ofanisotropic half- plane problem s- application to rockmechanics[J].InternationalJournal ofRockMech-nanics andMiningSciences,1998,35(1):55～64.
[14] ShaobeamM H,L andesJD.Numerical solutions forductile fracture behavior of semielliptical surfacecrack[J].EngineeringFractureMechanics,1999,16(2):187～194.
[15] SabinoDominguesJ,Trefftz.Boundary elem entmehtod applied to fractureMechanics[J].Engineer-ingFractureMechanics,1999,16(4):485～492.
[16] WildeA J,AliabadiM H.A3-D dualBEM form ula-tion for the analysis of crack growth[J].Computa-tionalMechanics,1999,23(3):165～172.
[17] 黎在良,王元汉,李廷芥.断裂力学中的边界数值方法[M].北京:地震出版社,1996.
[18] ShouKeh- jian,NapierJ A L.A two- dimensionallinear variation displacem ent discontinuity m ethodfor three- layered elastic media[J].InternationalJournal ofRockMechanics andMiningSciences,1999,36(1):35～44.
[19] IvanovA P.Stability of periodic solutions indiscon-tinuous systems in the presence of multiple intersec-tions with jum p surfaces[J].AppliedMath andMechanics,1999,62(5):633～638.
[20] StephanssonS B.Modification of theG- criterion forcrack propagation subjected to com pression[J].EngFractureMech,1994,11(3):307～314.
[21] 朱元奎,刘光廷.不连续位移超奇异积分方程法解三维多裂纹问题[J].工程力学,1997,14(2):277～282.
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