单向碳/碳复合材料拉-拉疲劳寿命及剩余强度预测模型
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摘要
基于预测单向复合材料纵向拉伸强度的随机核模型,引入纤维单丝剩余强度二参数Weibull模型及纤维单丝与基体界面剩余强度模型,研究建立了单向复合材料纵向拉-拉疲劳寿命及剩余强度的预测模型。对经过一定次数拉-拉疲劳载荷循环后的纤维束抽取其纤维单丝进行剩余强度拉伸试验,建立了纤维单丝剩余强度的二参数Weibull模型,测试单向碳/碳(C/C)复合材料的纤维与基体界面强度。通过单向C/C复合材料算例分析表明,92.5%、90.6%和87.5%应力水平下对数预测寿命与对数试验寿命比值分别为0.79、1.00和1.11,表明所建立的寿命预测模型用于预测单向C/C复合材料疲劳寿命是可行的;纵向拉伸剩余强度预测值与试验值误差在10%以内,吻合较好,表明所提出的剩余强度预测模型具有较高的精度。
Based on the random crack core theory and model for predicting the longitudinal tensile strengths of unidirectional composites,the Weibull model describing residual strength distribution of single fiber and the residual strength model of fiber-matrix interfaces were brought in for building the prediction model which can predict tensiontension fatigue life and residual strength of unidirectional composites.The residual strength test of the carbon fiber extracted from the fibers yarn after cyclic tensile fatigue loading was carried out.The two parameters Weibull model of the residual strength of carbon fiber was established.The fiber-matrix interface strength of unidirectional carbon/carbon(C/C)composites was tested.The unidirectional C/C composites analysis results show that the ratios of prediction logarithmic life to test logarithmic life are 0.79,1.00 and 1.11 under 92.5%,90.6%and 87.5%stress level,respectively,which indicates that the life prediction model is feasible for fatigue life prediction of unidirectional C/C composites.The error between the predicted value and the experimental value of residual strength is within10%,which demonstrates that the prediction model of residual strength has high precision.
Based on the random crack core theory and model for predicting the longitudinal tensile strengths of unidirectional composites,the Weibull model describing residual strength distribution of single fiber and the residual strength model of fiber-matrix interfaces were brought in for building the prediction model which can predict tensiontension fatigue life and residual strength of unidirectional composites.The residual strength test of the carbon fiber extracted from the fibers yarn after cyclic tensile fatigue loading was carried out.The two parameters Weibull model of the residual strength of carbon fiber was established.The fiber-matrix interface strength of unidirectional carbon/carbon(C/C)composites was tested.The unidirectional C/C composites analysis results show that the ratios of prediction logarithmic life to test logarithmic life are 0.79,1.00 and 1.11 under 92.5%,90.6%and 87.5%stress level,respectively,which indicates that the life prediction model is feasible for fatigue life prediction of unidirectional C/C composites.The error between the predicted value and the experimental value of residual strength is within10%,which demonstrates that the prediction model of residual strength has high precision.
引文
[1]李贺军.碳/碳复合材料[J].新型碳材料,2001,16(2):79-80.LI H J.Carbon/carbon composites[J].New Carbon Materials,2001,16(2):79-80(in Chinese).
[2]XUE H,LI H J,HOU X H,et al.Flexual behavior of 2D carbon-carbon composites fabricated by pressure gradient CVI[J].New Carbon Materials,2004,19(4):289-293.
[3]HIROSHI H,KEIJI S,TETSURO S,et al.Strength improvement by densification of C/C composites[J].Carbon,2001,39(1):83-90.
[4]YASUHIRO T,TAKUYA Y,TOMOYUKI W,et al.Fatigue of C/C composites in bending and in shear modes[J].Carbon,2004,42(8):1-6.
[5]GOTO K,HATTA H,KATSU D,et al.Tensile fatigue of a laminated carbon/carbon composites at room temperature[J].Carbon,2003,41(6):1249-1255.
[6]冯翃翎.C/C复合材料疲劳性能的研究[D].西安:西北工业大学,2006.FENG H L.Research on fatigue property of carbon/carbon composites[D].Xi’an:Northwestern Polytechnical University,2006(in Chinese).
[7]朱元林,温卫东,刘礼华,等.碳/碳复合材料疲劳损伤失效试验研究[J].复合材料学报,2015,33(2):386-393.ZHU Y L,WEN W D,LIU L H,et al.Experiments research on fatigue damage failure of carbon/carbon composites[J].Acta Materiae Compositae Sinica,2015,33(2):386-393(in Chinese).
[8]王茂章,贺福.碳纤维的制造、性能及其应用[M].北京:科学出版社,1984.WANG M Z,HE F.The manufacturing and performance of carbon fiber and its application[M].Beijing:Science Press,1984(in Chinese).
[9]袁辉.碳/碳复合材料刚度与强度预测模型研究[D].南京:南京航空航天大学,2009.YUAN H.Research on the model for predicting the stiffness and strength of carbon/carbon composites[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2009(in Chinese).
[10]朱元林,崔海涛,温卫东,等.碳纤维束疲劳损伤失效试验[J].复合材料学报,2012,29(5):179-183.ZHU Y L,CUI H T,WEN W D,et al.Experiments on fatigue damage failure of carbon fibers[J].Acta Materiae Compositae Sinica,2012,29(5):179-183(in Chinese).
[11]MICHAEL C H L,WILLIAM T S,FRANK A,et al.A math-based methodology for fatigue longevity prediction of3D woven fiberglass reinforced vinyl-ester composites[C].2006 SAE World Congress.Detroit:SAE International,2006:3-6.
[12]孔宪仁,黄玉东,范洪涛,等.细编穿刺C/C复合材料不同层次界面剪切强度的测试分析[J].复合材料学报,2001,18(2):57-60.KONG X R,HUANG Y D,FANG H T,et al.Testing analysis of shear strength for multilevel interface of fine weave pierced C/C composites[J].Acta Materiae Compositae Sinica,2001,18(2):57-60(in Chinese).
[13]TAKUYA A A,YUHSUKE Y,TOSHIO O,et al.Measurements of fiber bundle interfacial properties of three-dimensionally reinforced carbon/carbon composites up to 2273K[J].Carbon,2007,45(2):459-467.
[14]袁辉,温卫东,崔海涛,等.单向复合材料随机裂纹核扩展过程概率分析[J].复合材料学报,2009,26(2):200-205.YUAN H,WEN W D,CUI H T,et al.Probability analysis of random crack nuclear expansion of unidirectional composites[J].Acta Materiae Compo-sitae Sinica,2009,26(2):200-205(in Chinese).
[15]YUAN H,WEN W,CUI H,et al.The random crack core model for predicting the longitudinal tensile strengths of unidirectional composites[J].Journal of Materials Science,2009,44(12):3026-3034.
[16]ROSEN B W.Tensile failure of fibrous composites[J].AIAA Journal,1964,2(11):1985-1991.
[17]范赋群,曾庆敦.单向纤维增强复合材料的随机扩大临界核理论[J].中国科学(A辑),1994(2):210-217.FAN F Q,ZENG Q D.The stochastic expansion critical nuclear theory of unidirectional fiber reinforced composites[J].Chinese science(A),1994(2):210-217(in Chinese).
[18]PHEONIX S L,SMITH R L.A comparison of probabilistic techniques for the strength of fibrous materials under local load-sharing among fibers[J].International Journal of Solids and Structures,1983,19(6):479-496.
[19]KELLY A,TYSON W R.Tensile properties of fiber reinforced metals:Copper-tungsten and copper-molybdenum[J].Journal of the Mechanics and Physics of Solids,2000,48:621-648.
[20]沈观林,胡更开.复合材料力学[M].长沙:清华大学出版社,2007.SHENG G L,HU G K.Composite mechanics[M].Changsha:Tsinghua University Press,2007(in Chinese).
[21]卢子兴,高镇同.应用微分方法确定复合泡沫塑料的杨氏模量[J].北京航空航天大学学报,1996,22(6):692-695.LU Z X,GAO Z T.The young’s modulus of composite foamed plastics determined by differential method[J].Journal of Beijing University of Aeronautics and Astronautics,1996,22(6):692-695(in Chinese).
[2]XUE H,LI H J,HOU X H,et al.Flexual behavior of 2D carbon-carbon composites fabricated by pressure gradient CVI[J].New Carbon Materials,2004,19(4):289-293.
[3]HIROSHI H,KEIJI S,TETSURO S,et al.Strength improvement by densification of C/C composites[J].Carbon,2001,39(1):83-90.
[4]YASUHIRO T,TAKUYA Y,TOMOYUKI W,et al.Fatigue of C/C composites in bending and in shear modes[J].Carbon,2004,42(8):1-6.
[5]GOTO K,HATTA H,KATSU D,et al.Tensile fatigue of a laminated carbon/carbon composites at room temperature[J].Carbon,2003,41(6):1249-1255.
[6]冯翃翎.C/C复合材料疲劳性能的研究[D].西安:西北工业大学,2006.FENG H L.Research on fatigue property of carbon/carbon composites[D].Xi’an:Northwestern Polytechnical University,2006(in Chinese).
[7]朱元林,温卫东,刘礼华,等.碳/碳复合材料疲劳损伤失效试验研究[J].复合材料学报,2015,33(2):386-393.ZHU Y L,WEN W D,LIU L H,et al.Experiments research on fatigue damage failure of carbon/carbon composites[J].Acta Materiae Compositae Sinica,2015,33(2):386-393(in Chinese).
[8]王茂章,贺福.碳纤维的制造、性能及其应用[M].北京:科学出版社,1984.WANG M Z,HE F.The manufacturing and performance of carbon fiber and its application[M].Beijing:Science Press,1984(in Chinese).
[9]袁辉.碳/碳复合材料刚度与强度预测模型研究[D].南京:南京航空航天大学,2009.YUAN H.Research on the model for predicting the stiffness and strength of carbon/carbon composites[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2009(in Chinese).
[10]朱元林,崔海涛,温卫东,等.碳纤维束疲劳损伤失效试验[J].复合材料学报,2012,29(5):179-183.ZHU Y L,CUI H T,WEN W D,et al.Experiments on fatigue damage failure of carbon fibers[J].Acta Materiae Compositae Sinica,2012,29(5):179-183(in Chinese).
[11]MICHAEL C H L,WILLIAM T S,FRANK A,et al.A math-based methodology for fatigue longevity prediction of3D woven fiberglass reinforced vinyl-ester composites[C].2006 SAE World Congress.Detroit:SAE International,2006:3-6.
[12]孔宪仁,黄玉东,范洪涛,等.细编穿刺C/C复合材料不同层次界面剪切强度的测试分析[J].复合材料学报,2001,18(2):57-60.KONG X R,HUANG Y D,FANG H T,et al.Testing analysis of shear strength for multilevel interface of fine weave pierced C/C composites[J].Acta Materiae Compositae Sinica,2001,18(2):57-60(in Chinese).
[13]TAKUYA A A,YUHSUKE Y,TOSHIO O,et al.Measurements of fiber bundle interfacial properties of three-dimensionally reinforced carbon/carbon composites up to 2273K[J].Carbon,2007,45(2):459-467.
[14]袁辉,温卫东,崔海涛,等.单向复合材料随机裂纹核扩展过程概率分析[J].复合材料学报,2009,26(2):200-205.YUAN H,WEN W D,CUI H T,et al.Probability analysis of random crack nuclear expansion of unidirectional composites[J].Acta Materiae Compo-sitae Sinica,2009,26(2):200-205(in Chinese).
[15]YUAN H,WEN W,CUI H,et al.The random crack core model for predicting the longitudinal tensile strengths of unidirectional composites[J].Journal of Materials Science,2009,44(12):3026-3034.
[16]ROSEN B W.Tensile failure of fibrous composites[J].AIAA Journal,1964,2(11):1985-1991.
[17]范赋群,曾庆敦.单向纤维增强复合材料的随机扩大临界核理论[J].中国科学(A辑),1994(2):210-217.FAN F Q,ZENG Q D.The stochastic expansion critical nuclear theory of unidirectional fiber reinforced composites[J].Chinese science(A),1994(2):210-217(in Chinese).
[18]PHEONIX S L,SMITH R L.A comparison of probabilistic techniques for the strength of fibrous materials under local load-sharing among fibers[J].International Journal of Solids and Structures,1983,19(6):479-496.
[19]KELLY A,TYSON W R.Tensile properties of fiber reinforced metals:Copper-tungsten and copper-molybdenum[J].Journal of the Mechanics and Physics of Solids,2000,48:621-648.
[20]沈观林,胡更开.复合材料力学[M].长沙:清华大学出版社,2007.SHENG G L,HU G K.Composite mechanics[M].Changsha:Tsinghua University Press,2007(in Chinese).
[21]卢子兴,高镇同.应用微分方法确定复合泡沫塑料的杨氏模量[J].北京航空航天大学学报,1996,22(6):692-695.LU Z X,GAO Z T.The young’s modulus of composite foamed plastics determined by differential method[J].Journal of Beijing University of Aeronautics and Astronautics,1996,22(6):692-695(in Chinese).