用DDM实现弹性体裂纹演化的动态跟踪
|
摘要
本文采用位移不连续数值方法 (DisplacementDiscontinuityMethod ,简称DDM)求解二维复合型裂纹在任意荷载条件下的断裂扩展问题。针对二维裂纹的破坏演化特征 ,建立了外荷载逐次增量及在最大拉应力准则下 ,沿裂纹扩展方向的单元自动追加的裂纹扩展动态过程的DDM跟踪方法。得到了单裂纹条件下的理论解及其与规则排列的双裂纹实验结果高度吻合的计算结构。该方法直接在裂纹体上划分单元 ,并且在裂纹演化过程中仅需在原有基础上追加单元 ,程序实现简单、单元数少 ,便于在微机上实现多裂纹的扩展模拟。
In this paper the Displacement Discontinuity Method (DDM) was applied to solve the rupture propagation of two-dimensional combined crack under any load. According to the characteristics of damage progress of two-dimensional crack, the DDM tracking of dynamic process of crack propagation has been developed for external load increment and automatic unit addition along the direction of crack propagation under the criteria of maximum tensile stress. The calculation results for the theoretical solution of the single crack are coincident with the experiment ones for double cracks arranged regularly. The procedure is simple with fewer units and it is easy to simulate multiple crack propagation on the computer.
In this paper the Displacement Discontinuity Method (DDM) was applied to solve the rupture propagation of two-dimensional combined crack under any load. According to the characteristics of damage progress of two-dimensional crack, the DDM tracking of dynamic process of crack propagation has been developed for external load increment and automatic unit addition along the direction of crack propagation under the criteria of maximum tensile stress. The calculation results for the theoretical solution of the single crack are coincident with the experiment ones for double cracks arranged regularly. The procedure is simple with fewer units and it is easy to simulate multiple crack propagation on the computer.
引文
[1] Antonio,Bobet.FractureCoalescenceinRocks[M].PurdueUniversityschoolofCivilEngineenngFacultyofGeotechnicalEngineer ing.
[2] A .ToshimitsuYokobori,Jr.Differenceinthecreepandcreepcrackgrowthbehaviourbetweencreepductileandbrittlematerials[J],EngineeringFractureMechanics62(1999).
[3] A .N .Guz,Dynamicproblemsofthemechanicsofthebrittlefractureofmaterialswithinitialstressesformovingcracks[J].Interna tionalAppliedMechanics,Vo1.34.No.12(1998)
[4] 陈瑞峰,等压载对裂纹超载迟滞作用的影响[J].大连理工大学学报,第37卷第4期,1997年1月.
[5] 范天佑,张良欣,M .A .Sutton,硬化材料的平面应力稳态裂纹扩展[J].科学通报第42卷第11期,1997年6月
[6] 宋显辉,江冰陶瓷材料裂纹扩展非局部理论[J].硅酸盐通报,16(2)(1997)
[7] 包亦望,Stein,RW 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,26(5)(1998)
[8] 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,14(2)(1997)
[9] 陈天智,吴智深,等用Galerkin边界元子域法进行裂纹扩展分析[J].工程力学,(增刊1)(1998).
[10] 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(自然科学版),1996年第36卷第4期.
[11] 丁遂栋,孙利民.断裂力学[M].北京:机械工业出版社(1997).
[12] 杨庆生,杨卫断裂过程的有限元模拟[J].计算力学学报,第14卷第四期,1997年11月.
[13] CrouchS .L .andA .M .Starfield,BoundaryElementMethodinSolidMechanics[M].London:GemgeAllen&Unwin,(1983).
[14] Chao shiChen,ErnianPan,Bernardamadei.FractureMechanicsAnalysisofCrackedDiscsofAnisotropicRockUsingtheBoundaryElementMethod[J].InternationalJournalofRockMechanicsandMiningSciencesVol.(35)No.2(1998).
[15] E .Pan,B .Amadei,Y .I.Kim.2DBEMAnalysisofAnisotropicHalf planeProblems applicationtoRockMechanics[J].Interna tionalJournalofRockMechanicsandMiningSciencesVol.(35)No.1(1998).
[16] J.SabinoDomingues,TrefftzboundaryelementmethodappliedtofractureMechanics[J].EngineeringFractureMechanics64(1999).
[17] A .J.Wilde,M .H .Aliabadi,A 3DdualBEMformulaionfortheanalysisofcrackgrowthP[J].ComputationalMechanics23(1999)
[18] 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
[19] KehJianShou,J .A .L .Napier.Atwo dimensionallinearvariationdisplacementdiscontionuitymethodforthreelayeredelasticmedia[J].InternationalJournalofRockMechanicsandMiningSciencesVol.(36)(1999).
[20] A .P .Ivanov,StabilityofperiodicsolutionsindiscontinuoussystemsinthepresenceofmultipleintersectionswithjumpsurfacesJ[J].AppliedMath.andMechanicsvol.62(5)(1999)
[21] Shen,B .Stephansson,ModificationoftheG criterionforcrackpropagationsubjectedtocompression[J].Eng.FractureMech.,47(B7)(1994)
[22] 朱先奎,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,第14卷第2期,1997年5月.
[2] A .ToshimitsuYokobori,Jr.Differenceinthecreepandcreepcrackgrowthbehaviourbetweencreepductileandbrittlematerials[J],EngineeringFractureMechanics62(1999).
[3] A .N .Guz,Dynamicproblemsofthemechanicsofthebrittlefractureofmaterialswithinitialstressesformovingcracks[J].Interna tionalAppliedMechanics,Vo1.34.No.12(1998)
[4] 陈瑞峰,等压载对裂纹超载迟滞作用的影响[J].大连理工大学学报,第37卷第4期,1997年1月.
[5] 范天佑,张良欣,M .A .Sutton,硬化材料的平面应力稳态裂纹扩展[J].科学通报第42卷第11期,1997年6月
[6] 宋显辉,江冰陶瓷材料裂纹扩展非局部理论[J].硅酸盐通报,16(2)(1997)
[7] 包亦望,Stein,RW 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,26(5)(1998)
[8] 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,14(2)(1997)
[9] 陈天智,吴智深,等用Galerkin边界元子域法进行裂纹扩展分析[J].工程力学,(增刊1)(1998).
[10] 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(自然科学版),1996年第36卷第4期.
[11] 丁遂栋,孙利民.断裂力学[M].北京:机械工业出版社(1997).
[12] 杨庆生,杨卫断裂过程的有限元模拟[J].计算力学学报,第14卷第四期,1997年11月.
[13] CrouchS .L .andA .M .Starfield,BoundaryElementMethodinSolidMechanics[M].London:GemgeAllen&Unwin,(1983).
[14] Chao shiChen,ErnianPan,Bernardamadei.FractureMechanicsAnalysisofCrackedDiscsofAnisotropicRockUsingtheBoundaryElementMethod[J].InternationalJournalofRockMechanicsandMiningSciencesVol.(35)No.2(1998).
[15] E .Pan,B .Amadei,Y .I.Kim.2DBEMAnalysisofAnisotropicHalf planeProblems applicationtoRockMechanics[J].Interna tionalJournalofRockMechanicsandMiningSciencesVol.(35)No.1(1998).
[16] J.SabinoDomingues,TrefftzboundaryelementmethodappliedtofractureMechanics[J].EngineeringFractureMechanics64(1999).
[17] A .J.Wilde,M .H .Aliabadi,A 3DdualBEMformulaionfortheanalysisofcrackgrowthP[J].ComputationalMechanics23(1999)
[18] 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
[19] KehJianShou,J .A .L .Napier.Atwo dimensionallinearvariationdisplacementdiscontionuitymethodforthreelayeredelasticmedia[J].InternationalJournalofRockMechanicsandMiningSciencesVol.(36)(1999).
[20] A .P .Ivanov,StabilityofperiodicsolutionsindiscontinuoussystemsinthepresenceofmultipleintersectionswithjumpsurfacesJ[J].AppliedMath.andMechanicsvol.62(5)(1999)
[21] Shen,B .Stephansson,ModificationoftheG criterionforcrackpropagationsubjectedtocompression[J].Eng.FractureMech.,47(B7)(1994)
[22] 朱先奎,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,第14卷第2期,1997年5月.
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