具有倾斜裂纹的CTS试样三维断裂行为研究
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摘要
国内外对于三维复合型断裂问题的研究迄今还很不成熟，目前三维复合型裂纹的研究主要针对一些形状规则的贯穿裂纹和表面裂纹，对不规则形状三维复合型裂纹的断裂行为研究甚少，不能满足工程实际的需要。本文选用Richard设计的具有贯穿直裂纹的CTS试样，构建了两种不规则形状的三维复合型裂纹，并采用商用ANSYS软件以及修正的虚拟裂纹闭合积分方法进行了数值分析，深入研究了具有倾斜裂纹CTS试样的三维脆性断裂特性及裂纹扩展行为。
本文首先在CTS试样二维模型的基础上，构建了具有有限厚度的三维CTS试样的计算模型。分别在I型和II型简单加载模式下，研究了试样在三维边界条件下的断裂行为，指出三维效应是导致CTS试样在纯剪切加载条件下产生复合型断裂的主要原因。CTS试样裂纹尖端离面应力约束的定量分析直观表明了三维效应的影响范围。同时，还分析了加载角度和材料常数泊松比对CTS试样断裂行为的影响。
在三维CTS试样断裂行为研究的基础上，采用HYPERMESH软件对已有的三维CTS试样计算模型进行了改进，通过倾斜其裂纹前沿构建了具有复合型裂纹的MCTS试样，结合Richard设计的特殊加载装置，研究了贯穿斜裂纹在平面内不同加载条件下的断裂特性，揭示了导致试样产生复合型断裂的主要原因。在上述数值分析的基础上，根据Richard判据探讨了试样在不同加载条件下裂纹的初始扩展行为。通过改变裂纹前沿的倾斜角度，总结了在型和型简单加载条件下不同倾角贯穿斜裂纹的断裂规律，分析了裂纹前沿复合型应力强度因子随裂纹前沿倾角的变化情况。
采用同样方法，对具有倾斜裂纹平面的MCTS试样建立计算分析模型，结合Richard设计的特殊加载装置，研究了具有倾斜裂纹平面的贯穿裂纹在不同加载条件下的断裂特性，揭示了导致试样产生复合型断裂的主要原因。在上述研究的基础上，根据Richard判据探讨了试样在不同加载条件下裂纹的初始扩展行为。通过改变裂纹平面的倾斜角度，分别在型和型简单加载条件下建立了裂纹前沿复合型应力强度因子与裂纹平面倾斜角度之间的变化关系，总结了其裂纹的断裂规律。
为了对本文的数值计算进行验证，选取具有45°倾斜裂纹平面的MCTS试样，借助ANSYS软件提供的APDL参数化设计语言，并采用MVCCI方法及能量释放率与应力强度因子的等效变换关系，模拟了试样在I型及II型简单加载条件下裂纹的扩展轨迹及其扩展特征。同时，采用透明有机玻璃材料加工了带有45°倾斜裂纹平面的MCTS试样，分别在I型和II型加载条件下进行了实验，得出了试样裂纹的实际扩展情况。研究结果表明，实验中试样的裂纹开裂及扩展特征与数值模拟的裂纹开裂及扩展特征基本吻合，验证了本文的计算分析。
本文的研究丰富了三维断裂的研究内容，为深入探讨三维复合型断裂问题做出了有益的贡献，并为解决实际工程中存在类似裂纹构件的安全性评估提供了参考依据。
Study on3D mixed-mode fracture problems at home and abroad so far is still imperfect.Some regular-shaped through cracks and surface cracks have been investigated in the currentstudy of3D mixed mode crack, while little study on the irregular-shaped cracks can not meetthe actual needs of the project. In the paper an in-depth study on the brittle fracturecharacteristics and crack propagation of CTS-specimen with inclined crack is presented. Twokinds of irregular-shaped3D mixed-mode cracks are built by improving CTS-specimendesigned by Richard. The computational analysis is based on the numerically highly effectivemodified virtual crack closure integral method and the commercially available FE-codeANSYS.
3D model of CTS-specimen with finite thickness was built firstly on the basis of2Dmodel. Fracture behavior of specimen was investigated with3D Boundary conditions undermode-I and mode-II simple loading respectively. The presented numerical solutions showedthat3D effect was the main reason of leading CTS-specimen to produce mixed-mode fractureunder pure shear loading. The quantitative analysis on out-of-plane stress constrain near cracktip field of CTS specimen directly showed the range of3D effect. Meanwhile, the effect ofloading angles and material poisson’s ratio on3D fracture behavior was also investigated.
On the basis of fracture studies on3D CTS-specimen, MCTS-specimen with mixed-modecrack was built thought inclining crack front of CTS-specimen by model deformationtechnology of HYPERMESH software. Fracture characteristic of oblique through crack wasinvestigated under in-plane different loading conditions which were achieved by specialloading device designed by Richard. The main factors which leaded to mixed-mode fracture ofspecimen were revealed. On the basis of these numerical analyses, initial crack expansionbehavior of MCTS-specimen was analyzed according to Richard criterion under differentloading conditions. By changing the inclined angle of crack front, the fracture law of obliquethrough cracks with different inclined angles was summarized under mode-and mode-simple loading, and the change of complex stress intensity factor along crack front with thevariation of inclined angle was discussed.
Calculation model of MCTS-specimen with inclined crack plane was built by applying the same method. Combining with special loading device designed by Richard, fracturecharacteristic of through crack with inclined crack plane was investigated under in-planedifferent loading conditions. The main factors which leaded to mixed-mode fracture ofspecimen were revealed. On the basis of these studies, initial crack expansion behavior ofMCTS-specimen was analyzed according to Richard criterion under different loadingconditions. By changing the inclined angle of crack plane, the relationship between complexstress intensity factor along crack front and inclined angle of crack plane was set up undermode-I and mode-II simple loading respectively, and summarizing the fracture law of thecrack.
In order to verify the presented numerical calculation, MCTS-specimen with45inclined crack plane and APDL programming language of ANSYS software were applied.Computational simulation of crack propagation path and feature in the specimen whichsubjected to mode-I and mode-II loading respectively was completed by the aid of MVCCImethod and equivalent transformation relations between energy release rate and stress intensityfactor. Meanwhile the experiment of MCTS-specimen with45inclined crack plane whichwas made using transparent plexiglass material was presented under mode-I and mode-IIloading respectively. The actual expansion of the crack was obtained. The results showed thatexperimental findings of cracking and crack expansion characteristics were in good agreementwith simulated results of cracking and crack expansion characteristics, which verified thecomputational analyses of this article.
The presented study enriches the contents of3D fracture investigation, makes contributionfor further research on3D mixed-mode fracture, and provides reference for assess safety ofcomponents with similar crack in practical engineering.
本文首先在CTS试样二维模型的基础上，构建了具有有限厚度的三维CTS试样的计算模型。分别在I型和II型简单加载模式下，研究了试样在三维边界条件下的断裂行为，指出三维效应是导致CTS试样在纯剪切加载条件下产生复合型断裂的主要原因。CTS试样裂纹尖端离面应力约束的定量分析直观表明了三维效应的影响范围。同时，还分析了加载角度和材料常数泊松比对CTS试样断裂行为的影响。
在三维CTS试样断裂行为研究的基础上，采用HYPERMESH软件对已有的三维CTS试样计算模型进行了改进，通过倾斜其裂纹前沿构建了具有复合型裂纹的MCTS试样，结合Richard设计的特殊加载装置，研究了贯穿斜裂纹在平面内不同加载条件下的断裂特性，揭示了导致试样产生复合型断裂的主要原因。在上述数值分析的基础上，根据Richard判据探讨了试样在不同加载条件下裂纹的初始扩展行为。通过改变裂纹前沿的倾斜角度，总结了在型和型简单加载条件下不同倾角贯穿斜裂纹的断裂规律，分析了裂纹前沿复合型应力强度因子随裂纹前沿倾角的变化情况。
采用同样方法，对具有倾斜裂纹平面的MCTS试样建立计算分析模型，结合Richard设计的特殊加载装置，研究了具有倾斜裂纹平面的贯穿裂纹在不同加载条件下的断裂特性，揭示了导致试样产生复合型断裂的主要原因。在上述研究的基础上，根据Richard判据探讨了试样在不同加载条件下裂纹的初始扩展行为。通过改变裂纹平面的倾斜角度，分别在型和型简单加载条件下建立了裂纹前沿复合型应力强度因子与裂纹平面倾斜角度之间的变化关系，总结了其裂纹的断裂规律。
为了对本文的数值计算进行验证，选取具有45°倾斜裂纹平面的MCTS试样，借助ANSYS软件提供的APDL参数化设计语言，并采用MVCCI方法及能量释放率与应力强度因子的等效变换关系，模拟了试样在I型及II型简单加载条件下裂纹的扩展轨迹及其扩展特征。同时，采用透明有机玻璃材料加工了带有45°倾斜裂纹平面的MCTS试样，分别在I型和II型加载条件下进行了实验，得出了试样裂纹的实际扩展情况。研究结果表明，实验中试样的裂纹开裂及扩展特征与数值模拟的裂纹开裂及扩展特征基本吻合，验证了本文的计算分析。
本文的研究丰富了三维断裂的研究内容，为深入探讨三维复合型断裂问题做出了有益的贡献，并为解决实际工程中存在类似裂纹构件的安全性评估提供了参考依据。
Study on3D mixed-mode fracture problems at home and abroad so far is still imperfect.Some regular-shaped through cracks and surface cracks have been investigated in the currentstudy of3D mixed mode crack, while little study on the irregular-shaped cracks can not meetthe actual needs of the project. In the paper an in-depth study on the brittle fracturecharacteristics and crack propagation of CTS-specimen with inclined crack is presented. Twokinds of irregular-shaped3D mixed-mode cracks are built by improving CTS-specimendesigned by Richard. The computational analysis is based on the numerically highly effectivemodified virtual crack closure integral method and the commercially available FE-codeANSYS.
3D model of CTS-specimen with finite thickness was built firstly on the basis of2Dmodel. Fracture behavior of specimen was investigated with3D Boundary conditions undermode-I and mode-II simple loading respectively. The presented numerical solutions showedthat3D effect was the main reason of leading CTS-specimen to produce mixed-mode fractureunder pure shear loading. The quantitative analysis on out-of-plane stress constrain near cracktip field of CTS specimen directly showed the range of3D effect. Meanwhile, the effect ofloading angles and material poisson’s ratio on3D fracture behavior was also investigated.
On the basis of fracture studies on3D CTS-specimen, MCTS-specimen with mixed-modecrack was built thought inclining crack front of CTS-specimen by model deformationtechnology of HYPERMESH software. Fracture characteristic of oblique through crack wasinvestigated under in-plane different loading conditions which were achieved by specialloading device designed by Richard. The main factors which leaded to mixed-mode fracture ofspecimen were revealed. On the basis of these numerical analyses, initial crack expansionbehavior of MCTS-specimen was analyzed according to Richard criterion under differentloading conditions. By changing the inclined angle of crack front, the fracture law of obliquethrough cracks with different inclined angles was summarized under mode-and mode-simple loading, and the change of complex stress intensity factor along crack front with thevariation of inclined angle was discussed.
Calculation model of MCTS-specimen with inclined crack plane was built by applying the same method. Combining with special loading device designed by Richard, fracturecharacteristic of through crack with inclined crack plane was investigated under in-planedifferent loading conditions. The main factors which leaded to mixed-mode fracture ofspecimen were revealed. On the basis of these studies, initial crack expansion behavior ofMCTS-specimen was analyzed according to Richard criterion under different loadingconditions. By changing the inclined angle of crack plane, the relationship between complexstress intensity factor along crack front and inclined angle of crack plane was set up undermode-I and mode-II simple loading respectively, and summarizing the fracture law of thecrack.
In order to verify the presented numerical calculation, MCTS-specimen with45inclined crack plane and APDL programming language of ANSYS software were applied.Computational simulation of crack propagation path and feature in the specimen whichsubjected to mode-I and mode-II loading respectively was completed by the aid of MVCCImethod and equivalent transformation relations between energy release rate and stress intensityfactor. Meanwhile the experiment of MCTS-specimen with45inclined crack plane whichwas made using transparent plexiglass material was presented under mode-I and mode-IIloading respectively. The actual expansion of the crack was obtained. The results showed thatexperimental findings of cracking and crack expansion characteristics were in good agreementwith simulated results of cracking and crack expansion characteristics, which verified thecomputational analyses of this article.
The presented study enriches the contents of3D fracture investigation, makes contributionfor further research on3D mixed-mode fracture, and provides reference for assess safety ofcomponents with similar crack in practical engineering.
引文
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