2D-C/SiC复合材料面内剪切性能统计及强度B基准值
|
摘要
针对2D-C/SiC复合材料进行大子样面内剪切实验,研究材料面内剪切模量和强度的分布规律及强度B基准值。运用线性回归结合假设检验的方法,确定2D-C/SiC复合材料面内剪切力学性能的分布规律及参数,对比两种不同经验失效概率得到统计结果;通过观察试样最窄净截面微CT照片及断口电镜扫描照片,解释材料面内剪切强度分散性微观机制,基于分布规律,最终计算得到2D-C/SiC复合材料面内剪切强度威布尔B基准值。结果表明:强度和模量均同时服从威布尔、正态和对数正态分布,且理论模型与实验结果吻合良好,两种经验失效概率不影响力学性能分布规律;面内剪切强度分散性与最窄净截面致密度和界面脱粘长度有关;2D-C/SiC复合材料面内剪切强度威布尔B基准值为80.41MPa。
The distribution of in-plane shear modulus and strength of 2 D-C/SiC composites, and its B-basis value of strength were studied by testing thirty Iosipescu specimens under shear load. The distribution and parameters about in-plane shear properties of 2 D-C/SiC composites were determined by the method that liner regression combined with hypothesis testing, and the statistics results obtained by two different empirical failure probabilities were compared. The mechanism of the dispersibility of the in-plane shear strength was demonstrated by the micro-CT(μ-CT)photographs and SEM(scanning electron microscope) photographs through observation on the narrowest net cross-section. Finally, the Weibull B-basis value of the strength was calculated based on the distribution law. The results show that the strength and modulus of 2 D-C/SiC composites both follow weibull, normal and lognormal distribution, and the prediction has good agreement with test data. The distribution of the mechanical properties is not affected by two empirical failure probabilities. The dispersibility of the strength is connected with the density of the narrowest net cross-section and the interface debonding length. Finally, its B-basis value of strength is 80.41 MPa.
The distribution of in-plane shear modulus and strength of 2 D-C/SiC composites, and its B-basis value of strength were studied by testing thirty Iosipescu specimens under shear load. The distribution and parameters about in-plane shear properties of 2 D-C/SiC composites were determined by the method that liner regression combined with hypothesis testing, and the statistics results obtained by two different empirical failure probabilities were compared. The mechanism of the dispersibility of the in-plane shear strength was demonstrated by the micro-CT(μ-CT)photographs and SEM(scanning electron microscope) photographs through observation on the narrowest net cross-section. Finally, the Weibull B-basis value of the strength was calculated based on the distribution law. The results show that the strength and modulus of 2 D-C/SiC composites both follow weibull, normal and lognormal distribution, and the prediction has good agreement with test data. The distribution of the mechanical properties is not affected by two empirical failure probabilities. The dispersibility of the strength is connected with the density of the narrowest net cross-section and the interface debonding length. Finally, its B-basis value of strength is 80.41 MPa.
引文
[1] NASLAIN R,GUETTE A,REBILLATE F,et al. Boron-bearing species in ceramic matrix composites for long-term aerospace applications[J]. Journal of Solid State Chemistry,2004,177(2): 449-456.
[2] NASLAIN R. Design, preparation and properties of non-oxide CMCs for application in engines and nuclear reactors: an overview[J]. Composites Science and Technology,2004,64(2): 155-170.
[3] 严科飞,张程煜,乔生儒,等. C/C复合材料室温面内剪切强度分布[J]. 机械强度,2012,34(6): 912-915. YAN K F,ZHANG C Y,QIAO S R,et al. Statistical distribution on in-plane shear strength of C/C composite at room temperature[J]. Journal of Mechanical Strength,2012,34(6): 912-915.
[4] 李辉,张立同,曾庆丰,等. 2D C/SiC复合材料的可靠性评价[J]. 复合材料学报,2007,24(4): 95-100. LI H,ZHANG L T, ZENG Q F,et al. Reliability analysis of 2D-C/SiC composite [J]. Acta Materiae Compositae Sinica,2007, 24(4): 95-100.
[5] 童小燕,张凯,姚磊江,等. 2D C/SiC复合材料蠕变寿命分布规律研究[J]. 机械强度,2013,35(6): 823-828. TONG X Y,ZHANG K,YAO L J, et al. Investigation for creep life distribution of 2D C/SiC composites [J]. Journal of Mechanical Strength,2013,35(6): 823-828.
[6] 吴守军,成来飞,董宁,等. 3D Hi-Nicalon/SiC复合材料室温三点弯曲强度分布[J]. 复合材料学报,2005,22(5): 130-133. WU S J,CHENG L F,DONG N,et al. Flexural strength distribution of 3D Hi Nicalon/SiC in three point bending test at room temperature [J]. Acta Materiae Compositae Sinica,2005,22(5): 130-133.
[7] LIU Y,CHENG L,ZHANG L,et al. Fracture behavior and mechanism of 2D C/SiC-BCx composite at room temperature[J]. Materials Science and Engineering: A,2011,528(3): 1436-1441.
[8] LIU Y,CHAI N,QIN H,et al. Tensile fracture behavior and strength distribution of SiC_f/SiC composites with different SiBN interface thicknesses[J]. Ceramics International,2015,41(1): 1609-1616.
[9] PITT R E,PHOENIX S L. Probability distributions for the strength of composite materials IV: localized load-sharing with tapering[J]. International Journal of Fracture,1983,22(4): 243-276.
[10] CALARD V,LAMON J. A probabilistic-statistical approach to the ultimate failure of ceramic-matrix composites-part Ⅰ: experimental investigation of 2D woven SiC/SiC composites[J]. Composites Science & Technology,2002,62(3): 385-393.
[11] CALARD V,LAMON J. A probabilistic statistical approach to the ultimate failure of ceramic-matrix composites-part Ⅱ: macroscopic model[J]. Composites Science & Technology,2002,62(3): 395-399.
[12] GENET M,COUEGNAT G. Scaling strength distributions in quasi-brittle materials from micro-to macro-scales: a computational approach to modeling nature-inspired structural ceramics[J]. Journal of the Mechanics and Physics of Solids,2014,68(1): 93-106.
[13] RICHTER H,PETERS P W M. Tensile strength distribution of all-oxide ceramic matrix mini-composites with porous alumina matrix phase[J]. Journal of the European Ceramic Society,2016,13(36): 3185-3191.
[14] 马鑫,关志东,薛斌,等. 复合材料B基准值计算程序[J]. 制造业自动化,2011,33(21): 83-87. MA X,GUAN Z D,XUE B,et al. Programming of B-basis value calculation of composite [J]. Manufacturing Automation,2011,33(21): 83-87.
[15] 董本正,李伟,高丽红,等. 基于Matlab的碳纤维复合材料的B基准值算法[J]. 现代电子技术,2014(16): 87-91. DONG B Z,LI W,GAO L H,et al. Matlab-based algorithm for B reference value of carbon fiber reinforced polymer [J]. Modern Electronics Technique,2014(16): 87-91.
[16] 王翔,陈新文,王海鹏,等. 基于统计的复合材料B基准值计算方法研究[J]. 失效分析,2010,5(4): 210-215. WANG X,CHEN X W,WANG H P,et al. Statistic-based calculation methods of B-basis value of composite [J]. Failure analysis and Prevention,2010,5(4): 210-215.
[17] 刘新,王荣国,刘文博,等. 三角形截面碳纤维复合材料弯曲强度B基准值[J].宇航学报,2010,31(6): 1651-1655. LIU X,WANG R G,LIU W B,et al. The B-basis value of the flexural strength of triangle-shape carbon fibers reinforced plastics [J]. Journal of Astronautics,2010,31(6): 1651-1655.
[18] 管国阳,矫桂琼,张增光. 平纹编织C /SiC复合材料的剪切性能[J]. 机械科学与技术,2005,24(5): 515-517. GUAN G Y,JIAO G Q,ZHANG Z G. In-plane shear fracture characteristic of plain woven C/SiC composite[J]. Mechanical Science and Technology,2005,24(5): 515-517.
[19] 赵永翔,孙亚芳,高庆. 分析常用7种统计分布的统一线性回归方法[J]. 机械强度,2001,23(1): 102-106. ZHAO Y X,SUN Y F,GAO Q. Unified linear regression method for the analysis of seven commonly used statistical distributions[J]. Journal of Mechanical Strength,2001,23(1):102-106.
[20] YAN K F,ZHANG C Y,QIAO S R,et al. In-plane shear strength of a carbon/carbon composite at different loading rates and temperatures[J].2011,528(3): 1458-1462.
[2] NASLAIN R. Design, preparation and properties of non-oxide CMCs for application in engines and nuclear reactors: an overview[J]. Composites Science and Technology,2004,64(2): 155-170.
[3] 严科飞,张程煜,乔生儒,等. C/C复合材料室温面内剪切强度分布[J]. 机械强度,2012,34(6): 912-915. YAN K F,ZHANG C Y,QIAO S R,et al. Statistical distribution on in-plane shear strength of C/C composite at room temperature[J]. Journal of Mechanical Strength,2012,34(6): 912-915.
[4] 李辉,张立同,曾庆丰,等. 2D C/SiC复合材料的可靠性评价[J]. 复合材料学报,2007,24(4): 95-100. LI H,ZHANG L T, ZENG Q F,et al. Reliability analysis of 2D-C/SiC composite [J]. Acta Materiae Compositae Sinica,2007, 24(4): 95-100.
[5] 童小燕,张凯,姚磊江,等. 2D C/SiC复合材料蠕变寿命分布规律研究[J]. 机械强度,2013,35(6): 823-828. TONG X Y,ZHANG K,YAO L J, et al. Investigation for creep life distribution of 2D C/SiC composites [J]. Journal of Mechanical Strength,2013,35(6): 823-828.
[6] 吴守军,成来飞,董宁,等. 3D Hi-Nicalon/SiC复合材料室温三点弯曲强度分布[J]. 复合材料学报,2005,22(5): 130-133. WU S J,CHENG L F,DONG N,et al. Flexural strength distribution of 3D Hi Nicalon/SiC in three point bending test at room temperature [J]. Acta Materiae Compositae Sinica,2005,22(5): 130-133.
[7] LIU Y,CHENG L,ZHANG L,et al. Fracture behavior and mechanism of 2D C/SiC-BCx composite at room temperature[J]. Materials Science and Engineering: A,2011,528(3): 1436-1441.
[8] LIU Y,CHAI N,QIN H,et al. Tensile fracture behavior and strength distribution of SiC_f/SiC composites with different SiBN interface thicknesses[J]. Ceramics International,2015,41(1): 1609-1616.
[9] PITT R E,PHOENIX S L. Probability distributions for the strength of composite materials IV: localized load-sharing with tapering[J]. International Journal of Fracture,1983,22(4): 243-276.
[10] CALARD V,LAMON J. A probabilistic-statistical approach to the ultimate failure of ceramic-matrix composites-part Ⅰ: experimental investigation of 2D woven SiC/SiC composites[J]. Composites Science & Technology,2002,62(3): 385-393.
[11] CALARD V,LAMON J. A probabilistic statistical approach to the ultimate failure of ceramic-matrix composites-part Ⅱ: macroscopic model[J]. Composites Science & Technology,2002,62(3): 395-399.
[12] GENET M,COUEGNAT G. Scaling strength distributions in quasi-brittle materials from micro-to macro-scales: a computational approach to modeling nature-inspired structural ceramics[J]. Journal of the Mechanics and Physics of Solids,2014,68(1): 93-106.
[13] RICHTER H,PETERS P W M. Tensile strength distribution of all-oxide ceramic matrix mini-composites with porous alumina matrix phase[J]. Journal of the European Ceramic Society,2016,13(36): 3185-3191.
[14] 马鑫,关志东,薛斌,等. 复合材料B基准值计算程序[J]. 制造业自动化,2011,33(21): 83-87. MA X,GUAN Z D,XUE B,et al. Programming of B-basis value calculation of composite [J]. Manufacturing Automation,2011,33(21): 83-87.
[15] 董本正,李伟,高丽红,等. 基于Matlab的碳纤维复合材料的B基准值算法[J]. 现代电子技术,2014(16): 87-91. DONG B Z,LI W,GAO L H,et al. Matlab-based algorithm for B reference value of carbon fiber reinforced polymer [J]. Modern Electronics Technique,2014(16): 87-91.
[16] 王翔,陈新文,王海鹏,等. 基于统计的复合材料B基准值计算方法研究[J]. 失效分析,2010,5(4): 210-215. WANG X,CHEN X W,WANG H P,et al. Statistic-based calculation methods of B-basis value of composite [J]. Failure analysis and Prevention,2010,5(4): 210-215.
[17] 刘新,王荣国,刘文博,等. 三角形截面碳纤维复合材料弯曲强度B基准值[J].宇航学报,2010,31(6): 1651-1655. LIU X,WANG R G,LIU W B,et al. The B-basis value of the flexural strength of triangle-shape carbon fibers reinforced plastics [J]. Journal of Astronautics,2010,31(6): 1651-1655.
[18] 管国阳,矫桂琼,张增光. 平纹编织C /SiC复合材料的剪切性能[J]. 机械科学与技术,2005,24(5): 515-517. GUAN G Y,JIAO G Q,ZHANG Z G. In-plane shear fracture characteristic of plain woven C/SiC composite[J]. Mechanical Science and Technology,2005,24(5): 515-517.
[19] 赵永翔,孙亚芳,高庆. 分析常用7种统计分布的统一线性回归方法[J]. 机械强度,2001,23(1): 102-106. ZHAO Y X,SUN Y F,GAO Q. Unified linear regression method for the analysis of seven commonly used statistical distributions[J]. Journal of Mechanical Strength,2001,23(1):102-106.
[20] YAN K F,ZHANG C Y,QIAO S R,et al. In-plane shear strength of a carbon/carbon composite at different loading rates and temperatures[J].2011,528(3): 1458-1462.