基于数字图像相关方法的端羟基聚丁二烯推进剂复合型裂纹J积分测量
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摘要
为实现复合型裂纹尖端变形场及J积分测量,对预制含中心贯穿复合型裂纹的端羟基聚丁二烯(HTPB)推进剂试件进行了拉伸观察试验,获得了复合型裂纹试件的变形图片序列。采用数字图像相关(DIC)方法得到试件表面的位移和应变场,运用J积分理论和DIC方法得到的变形场计算复合型裂纹尖端的J积分。将DIC方法得到的变形场结果以及运用J积分理论和DIC方法计算得到的J积分结果与有限元结果进行了对比分析。分析结果表明:DIC方法获得的变形场分布特点与有限元结果吻合较好;不同积分路径下的J积分具有守恒性,验证了DIC方法可以有效地计算J积分;相同拉伸位移和复合型裂纹下J积分随角度的增大呈下降趋势,裂纹从0°!45°时J积分值变化较小,裂纹从45°!67. 5°时J积分值有较明显的下降。
In order to realize the deformation field and J-integral measurement of mixed mode crack tip,the hydroxyl-terminated polybutadiene( HTPB) propellant specimens with center-through mixed mode cracks were prefabricated,and the stretching of propellant specimens was tested. The deformation picture sequences of specimens with different angle cracks were obtained. The digital image correlation method( DIC) is used to obtain the displacement and strain field of specimen surface. The J-integral of the mixed mode crack tip is calculated using the J-integral theory and the deformation field obtained by DIC.The results are compared with the finite element results. The results show that the distribution characteristics of deformation field obtained by DIC are consistent with the results obtained by the finite element method. The J-integrals under different integral paths are conserved,which verifies that the digital image correlation method can be used to effectively calculate J-integrals. For the same tensile displacement,the J-integral of mixed mode cracks decreases with the increase in angle. The J-integral value changes little when the crack angle changes from 0° to 45°,and the J-integral value decreases obviously when the crack angle changes from 45° to 67. 5°.
In order to realize the deformation field and J-integral measurement of mixed mode crack tip,the hydroxyl-terminated polybutadiene( HTPB) propellant specimens with center-through mixed mode cracks were prefabricated,and the stretching of propellant specimens was tested. The deformation picture sequences of specimens with different angle cracks were obtained. The digital image correlation method( DIC) is used to obtain the displacement and strain field of specimen surface. The J-integral of the mixed mode crack tip is calculated using the J-integral theory and the deformation field obtained by DIC.The results are compared with the finite element results. The results show that the distribution characteristics of deformation field obtained by DIC are consistent with the results obtained by the finite element method. The J-integrals under different integral paths are conserved,which verifies that the digital image correlation method can be used to effectively calculate J-integrals. For the same tensile displacement,the J-integral of mixed mode cracks decreases with the increase in angle. The J-integral value changes little when the crack angle changes from 0° to 45°,and the J-integral value decreases obviously when the crack angle changes from 45° to 67. 5°.
引文
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[6]常新龙,余堰峰,张有宏,等.基于有限元理论的HTPB推进剂I型裂纹J积分数值模拟[J].火炸药学报,2010,33(5):60-64.CHANG X L,YU Y F,ZHANG Y H,et al. Simulation research onJ integral of HTPB propellant with I mode crack based on finite el-ement theory[J]. Chinese Journal of Explosives and Propellants,2010,33(5):60-64.(in Chinese)
[7] DALLLY J W,SANFORD R J.. Strain gage methods for measuringthe opening-mode stress intensity factor[J]. Experimental Me-chanics,1987,27(4):381-388.
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[9] WANG W C,HWANG C H. Experimental analysis of vibrationcharacteristics of an edge-cracked composite plate by ESPI method[J]. International Journal of Fracture,1998,91(4):311-321.
[10] YONEYAMA S,ARIKAWA S,KUSAYANAGI S,et al. Evalu-ating J-integral from displacement fields measured by digitalimage correlation[J]. Strain,2014,50(2):147-160.
[11] TRACY J,WAAS A,DALY S,et al. Experimental assessment oftoughness in ceramic matrix composites using the J-integral withdigital image correlation,part I:methodology and validation[J].Journal of Materials Science,2015,50(13):4646-4658.
[12] TRACY J,WAAS A,DALY S,et al. Experimental assessment oftoughness in ceramic matrix composites using the J-integral withdigital image correlation,part II:application to ceramic matrixcomposites[J]. Journal of Materials Science,2015,50(13):4649-4671.
[13]潘兵,谢惠民,续伯钦,等.应用数字图像相关方法测量含缺陷试样的全场变形[J].实验力学,2007,22(3/4):379-384.PAN B,XIE H M,XU B Q,et al. Full-field deformation measure-ment of specimen with discontinuity using digital image correla-tion[J]. Journal of Experimental Mechanics,2007,22(3/4):379-384.(in Chinese)
[14] RTHORJ,GRAVOUIL A,MORESTIN F,et al. Estimationof mixed-mode stress intensity factors using digital image correla-tion and an interation integral[J]. International Journal of Frac-ture,2005,132:65-79.
[15] PAN B. Reliability-guided digital image correlation for image de-formation measurement[J]. Applied Optics,2009,48(8):1535-1542.
[16] PAN B,XIE H M,GUO Z Q. Full-field strain measurement usinga two-dimensional Savitzky-Golay digital differentiator in digitalimage correlation[J]. Optical Engineering, 2007, 46(3):033601.
[17]常武军,鞠玉涛,王蓬勃. HTPB推进剂脱湿与力学性能的相关性研究[J].兵工学报,2012,33(3):261-266.CHANG W J,JU Y T,WANG P B. Research on correlation be-tween dewetting and mechanical property of HTPB propellant[J]. Acta Armamentarii,2012,33(3):261-266.(in Chi-nese)
[18]李庆芬.断裂力学及其工程应用[M].哈尔滨:哈尔滨工程大学出版社,1998:79-81.LI Q F. Fracture mechanics and its engineering application[M].Harbin:Harbin Engineering University Press,1998:79-81.(inChinese)
[19]黄裕龙.焊接条件对裂纹特性影响的DIC实验研究[D].大连:大连理工大学,2015.HUANG Y L. DIC experimental study of the effect of welding con-ditions on crack characteristics[D]. Dalian:Dalian University ofTechnology,2015.(in Chinese)
[2]屈文忠.国产HTPB复合推进剂裂纹扩展特性的实验研究[J].推进技术,1994(6):88-92.QU W Z. Experimental study on crack propagation characteristicsof domestic HTPB composite propellant[J]. Journal of PropulsionTechnology,1994(6):88-92.(in Chinese)
[3]孙博,朵英贤,蒙上阳.基于J积分分析固体火箭发动机药柱界面裂纹的稳定性[J].北京理工大学学报,2018,38(2):124-129.SUN B,DUO Y X,MENG S Y. Analysis of interfacial crack stabi-lity of solid rocket motor based on J-integral[J]. Transactions ofBeijing Institute of Technology,2018,38(2):124-129.(in Chi-nese)
[4]龙兵,常新龙,陈刚,等. HTPB推进剂裂纹起裂J积分研究[J].固体火箭技术,2015(3):367-371.LONG B,CHANG X L,CHEN G,et al. Research of the crack ini-tiation J-integral for HTPB solid propellant[J]. Journal of SolidRocket Technology,2015(3):367-371.(in Chinese)
[5]李继红,张建勋.含损伤焊接接头裂纹体J积分的有限元数值研究[J].西安交通大学学报,2003,37(9):937-940.LI J H,ZHANG J X. Finite element numerical study on J-integralof cracked body in damaged welded joints[J]. Journal of Xi'anJiaotong University,2003,37(9):937-940.(in Chinese)
[6]常新龙,余堰峰,张有宏,等.基于有限元理论的HTPB推进剂I型裂纹J积分数值模拟[J].火炸药学报,2010,33(5):60-64.CHANG X L,YU Y F,ZHANG Y H,et al. Simulation research onJ integral of HTPB propellant with I mode crack based on finite el-ement theory[J]. Chinese Journal of Explosives and Propellants,2010,33(5):60-64.(in Chinese)
[7] DALLLY J W,SANFORD R J.. Strain gage methods for measuringthe opening-mode stress intensity factor[J]. Experimental Me-chanics,1987,27(4):381-388.
[8] BONESTEEL R M,PIPERS D E,DAVINROY A T. Complianceand calibration of double cantilever beam(DCB)specimens[J].Engineering Fracture Mechanics,1978,10:425-428.
[9] WANG W C,HWANG C H. Experimental analysis of vibrationcharacteristics of an edge-cracked composite plate by ESPI method[J]. International Journal of Fracture,1998,91(4):311-321.
[10] YONEYAMA S,ARIKAWA S,KUSAYANAGI S,et al. Evalu-ating J-integral from displacement fields measured by digitalimage correlation[J]. Strain,2014,50(2):147-160.
[11] TRACY J,WAAS A,DALY S,et al. Experimental assessment oftoughness in ceramic matrix composites using the J-integral withdigital image correlation,part I:methodology and validation[J].Journal of Materials Science,2015,50(13):4646-4658.
[12] TRACY J,WAAS A,DALY S,et al. Experimental assessment oftoughness in ceramic matrix composites using the J-integral withdigital image correlation,part II:application to ceramic matrixcomposites[J]. Journal of Materials Science,2015,50(13):4649-4671.
[13]潘兵,谢惠民,续伯钦,等.应用数字图像相关方法测量含缺陷试样的全场变形[J].实验力学,2007,22(3/4):379-384.PAN B,XIE H M,XU B Q,et al. Full-field deformation measure-ment of specimen with discontinuity using digital image correla-tion[J]. Journal of Experimental Mechanics,2007,22(3/4):379-384.(in Chinese)
[14] RTHORJ,GRAVOUIL A,MORESTIN F,et al. Estimationof mixed-mode stress intensity factors using digital image correla-tion and an interation integral[J]. International Journal of Frac-ture,2005,132:65-79.
[15] PAN B. Reliability-guided digital image correlation for image de-formation measurement[J]. Applied Optics,2009,48(8):1535-1542.
[16] PAN B,XIE H M,GUO Z Q. Full-field strain measurement usinga two-dimensional Savitzky-Golay digital differentiator in digitalimage correlation[J]. Optical Engineering, 2007, 46(3):033601.
[17]常武军,鞠玉涛,王蓬勃. HTPB推进剂脱湿与力学性能的相关性研究[J].兵工学报,2012,33(3):261-266.CHANG W J,JU Y T,WANG P B. Research on correlation be-tween dewetting and mechanical property of HTPB propellant[J]. Acta Armamentarii,2012,33(3):261-266.(in Chi-nese)
[18]李庆芬.断裂力学及其工程应用[M].哈尔滨:哈尔滨工程大学出版社,1998:79-81.LI Q F. Fracture mechanics and its engineering application[M].Harbin:Harbin Engineering University Press,1998:79-81.(inChinese)
[19]黄裕龙.焊接条件对裂纹特性影响的DIC实验研究[D].大连:大连理工大学,2015.HUANG Y L. DIC experimental study of the effect of welding con-ditions on crack characteristics[D]. Dalian:Dalian University ofTechnology,2015.(in Chinese)