Calculation method of fracture toughness of materials at transition state
-
摘要: 材料的断裂韧性对于损伤容限设计和评估技术非常重要,但采用传统的试验方法获得过渡状态下材料的断裂韧性需要大量的时间和费用.针对这些不足,提出了一种过渡状态下材料断裂韧性的计算方法.分析了三维裂纹尖端的三轴应力约束参数,利用材料断裂能量准则研究了断裂韧性与拉伸性能之间的关系,得到了在三向应力状态下Ⅰ型裂纹体断裂破坏时的断裂韧性与材料单向拉伸性能参数之间的关系表达式和过渡状态下材料断裂韧性的计算方法.计算了2219-T87铝合金在过渡状态下的断裂韧性理论值,并将其与试验结果和经验公式计算值进行比较.结果显示,理论计算值处于试验点范围内,小于经验公式计算值,且偏于安全.Abstract: The fracture toughness of materials is very important for damage tolerance design and assessment technology, while the test method to obtain the fracture toughness in the transition state is costly and time-consuming. In order to overcome these disadvantages, a determination method of fracture toughness based on calculation in the transition state was presented. The triaxial stress constraint parameter for the three-dimensional crack tip was analyzed, the relation between fracture toughness and material tensile properties was researched with the energy criterion for material fracture, meanwhile the relation expression in the three-dimensional stress state for I type crack fracture and the determination method of fracture toughness of materials based on calculation in the transition state were obtained. The fracture toughness in the transition state for 2219-T87 aluminum alloy was calculated with the determination method and empirical formula most of the theoretical calculation values were safer compared with test results and smaller than the values calculated by the empirical formula.
-
Key words:
- fracture toughness /
- transition state /
- plane strain /
- triaxial stress constraint /
- crack tip
-
[1] Kamaya M. Estimation of elastic-plastic fracture toughness by numerical simulation based on a stress-based criterion for ductile crack initiation[J].International Journal of Pressure Vessels and Piping,2014,117:2-8. [2] Steffensen S, Madsen N D,Jensen H M.Numerical estimation of fracture toughness from indentation-induced circumferential cracking in thin films on ductile substrates[J].International Journal of Solids and Structures,2013,50(20):3406-3417. [3] Li Y,Zhou M. Prediction of fracture toughness of ceramic composites as function of microstructure[J].Journal of the Mechanics and Physics of Solids,2013,61(2):472-488. [4] Margolin B Z, Gulenko A G,Shvetsova V A.Improved probabilistic model for fracture toughness prediction for nuclear pressure vessel steels[J].International Journal of Pressure Vessels and Piping,1998,75(12):843-855. [5] Wang Q Z, Zhang S,Xie H P.Rock dynamic fracture toughness tested with holed-cracked flattened Brazilian disc diametrically impacted by SHPB and its size effect[J].Experimental Mechanics,2010,50(7):877-885. [6] Gong N P, Gao Y,Jiang X Y,et al.Research on dynamic fracture toughness of granite and finite element analysis[J].Procedia Engineering,2012,37:107-112. [7] He Y T,Li F, Zhang G Q,et al.A theoretical approach for estimating fracture toughness of ductile metals[J].Journal of Shanghai Jiaotong University,2004,38(Supple):114-119. [8] 徐志强,黎立云, 刘一,等.I型裂纹断裂韧性数值与理论计算比较分析[J].山东科技大学学报,2013,32(2):61-65. Xu Z Q,Li L Y,Liu Y,et al.Comparative analysis of numerical and theoretical calculation of fracture toughness model I fracture[J].Journal of Shandong University of Science and Technology,2013,32(2):61-65(in Chinese). [9] 李江,李付国, 薛凤梅,等.基于裂纹尖端钝化能的断裂韧性估算方法[J].稀有金属材料与工程,2011,40(2):577-581. Li J,Li F G,Xue F M,et al.An estimation of fracture toughness based on the passivation energy in the crack tip[J].Rare Metal Materials and Engineering,2011,40(2):577-581(in Chinese). [10] 马秋荣,张腾, 李鹤,等.不同厚度国产X100高钢级管线钢的断裂韧性[J].机械工程材料,2013,37(3):69-72. Ma Q R,Zhang T,Li H,et al.Fracture toughness of domestic X100 high strength linepipe steel with different thickness[J].Materials for Mechanical Engineering,2013,37(3):69-72(in Chinese). [11] 方颖,李辉, 慧虎,等.基于Master Curve方法的A508-III钢断裂韧性研究[J].核动力工程,2011,32(1):31-34. Fang Y,Li H,Hui H,et al.Study on fracture toughness prediction for A508-III steel based on master curve approach[J].Nuclear Power Engineering,2011,32(1):31-34(in Chinese). [12] 马娜,王理, 陈勇.A508-III钢韧脆转变温度范围的断裂韧性研究[J].核动力工程,2012,33(2):57-60. Ma N,Wang L,Chen Y.Research on fracture toughness of A508-III steel in transition range[J].Nuclear Power Engineering,2012,33(2):57-60(in Chinese). [13] 何宇廷,傅祥炯. 铝合金CCT试样裂纹扩展三维尺寸效应金相分析[J].空军工程大学学报:自然科学版,2002,3(2): 5-8. He Y T,Fu X J.Study of three-dimensional effect on crack of CCT aluminium alloy specimens by fractograph analysis[J].Journal of Air Force Engineering University:Natural Science Edition,2002,3(2):5-8(in Chinese). [14] Farahmand B, Bockrath G E.A theoretical approach for evaluating the plane strain fracture toughness of ductile metals[J].Engineering Fracture Mechanics,1996,53(6):975-990. [15] 杨继运,张行. 材料断裂韧度与试样厚度关系研究[J].机械强度,2003,25(1):76-80. Yang J Y,Zhang X.Research on the relation between fracture toughness and sample thickness[J].Journal of Mechanical Strength,2003,25(1):76-80(in Chinese). [16] 杨继运,张行,张珉. 裂纹扩展阻力曲线与试样厚度关系[J].北京航空航天大学学报,2003,29(7):575-578. Yang J Y,Zhang X,Zhang M.Research on relation between crack extension resistance curve and sample thickness[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(7):575-578(in Chinese). [17] 杨继运,张行. 含裂纹板断裂韧度厚度效应的理论研究[J].机械强度,2006,27(5):672-680. Yang J Y,Zhang X.Research on thickness effect on cracked plate fracture toughness[J].Journal of Mechanical Strength,2005,27(5):672-680(in Chinese). [18] 杨继运,张行,张珉. 含裂纹板断裂韧度厚度效应的理论与应用[J].机械工程学报,2005,41(11):32-42. Yang J Y,Zhang X,Zhang M.Theory and application on thickness effect on cracked plate fracture toughness[J].Chinese Journal of Mechanical Engineering,2005,41(11):32-42(in Chinese). [19] Guo W L. Elastoplastic three-dimensional crack border field-III fracture parameters[J].Engineering Fracture Mechanics,1995,51(1):51-57. [20] 何宇廷. 三维断裂准则及疲劳裂纹扩展模型研究[D].西安:西北工业大学,1997. He Y T.A study of three dimensional fracture criteria and fatigue crack propagation model[D].Xi'an:Northwestern Politechnical University,1997(in Chinese). [21] 伍黎明. 7050铝合金耳片接头三维疲劳裂纹扩展特性研究[D].西安:空军工程大学,2013. Wu L M.Study on the three-dimensional fatigue and fracture characteristics for 7050 aluminum alloy lug joints[D].Xi'an:Air Force Engineering University,2013(in Chinese). [22] Yu H T, Wang J H,Yuan Y.An Improved hysteretic model for soils[J].Journal of Shanghai Jiaotong University:Science Edition,2013,18(6):655-659. [23] 中国航空研究院. 军用飞机疲劳损伤容限耐久性设计手册(第三册)[M].北京:中国航空研究院出版,1994:281-282. Chinese Aviation Institute.Military aircraft fatigue,damage tolerant and durability handbook(3rd part)[M].Beijing:Chinese Aviation Institute Press,1994:281-282(in Chinese). [24] 崔振源. 断裂韧性测试原理和方法[M].上海:上海科学技术出版社,1961:133-135. Cui Z Y.The theory and method of fracture toughness test[M].Shanghai:Shanghai Science and Technology Press,1961:133-135(in Chinese).
点击查看大图
计量
- 文章访问数: 1182
- HTML全文浏览量: 79
- PDF下载量: 784
- 被引次数: 0