Hashin准则的应力应变形式在复合材料渐进损伤计算中的对比

doi:10.3901/JME.2022.22.284

机械工程学报 ›› 2022, Vol. 58 ›› Issue (22): 284-293.doi: 10.3901/JME.2022.22.284

扫码分享

Hashin准则的应力应变形式在复合材料渐进损伤计算中的对比

李响¹, 贾欲明², 洪润民¹

1. 北京理工大学宇航学院北京 100081;
2. 中航工业第一飞机设计研究院西安 710089

收稿日期:2021-11-17 修回日期:2022-02-23 出版日期:2022-11-20 发布日期:2023-02-07
通讯作者: 贾欲明(通信作者),男,1973年出生,研究员。主要研究方向为复合材料结构设计与分析,复合材料力学性能宏细观分析与试验技术。E-mail:jiaym@avic.com
作者简介:李响,男,1972年出生,博士,副教授,博士研究生导师。主要研究方向为飞行器结构分析与优化设计、飞行动力学性能分析与优化设计。E-mail:lx1106@bit.edu.cn

Comparison between the Stress Form and Strain Form of Hashin Criteria in Progressive Failure Analysis of Composite Materials

LI Xiang¹, JIA Yu-ming², HONG Run-min¹

1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081;
2. First Aircraft Institute of AVIC, Xi'an 710089

Received:2021-11-17 Revised:2022-02-23 Online:2022-11-20 Published:2023-02-07

摘要/Abstract

摘要： Hashin准则在复合材料渐进损伤分析中得到广泛应用,它的原始形式用应力表达,而在渐进损伤实际计算中用到了应变形式。推导了这两种形式下渐进损伤计算中需要的复合材料非线性本构关系及对应的切线刚度矩阵,对比分析了它们之间的不等价性。将这两种Hashin准则形式与不同损伤演化模型相结合,应用于开孔板的渐进损伤数值模拟,并与试验数据相对比。将Linde损伤演化模型分别与Hashin准则变形式和应力形式组合,前者的计算结果与试验值符合更好;将Sleight损伤演化模型与Hashin准则应力形式相结合,选取不同的衰减控制参数进行数值模拟,控制参数取0.8时比取其他值与试验结果符合更好。理论推导和数值模拟结果对复合材料渐进损伤实际应用中合理选取损伤准则形式和损伤演化模型有指导意义。

关键词: Hashin准则, 应力形式, 应变形式, 复合材料, 渐进损伤

Abstract: Hashin criteria in strain form is widely used in progressive failure computation of composite materials, while it is originally presented in stress form. The nonlinear constitutive equations and the corresponding tangent stiffness matrices under these two forms are derived, the inequality between the two forms is analyzed. Linde damage evolution law is combined with Hashin criteria strain form and stress form respectively to perform progressive failure analyses of a notched composite laminate, the results show that the strain form data is more consistent with the experiment data. Furthermore, Sleight damage evolution law is combined with Hashin criteria stress form to perform progressive failure analyses using different parameters in Sleight damage evolution law. The results show that 0.8 is a good choice. The theoretical derivation and numerical simulation results are helpful for choosing a proper combination of failure criteria form and damage evolution law in progressive failure computation of composite materials.

Key words: Hashin criteria, stress form, strain form, composite materials, progressive failure

中图分类号:

TB332

李响, 贾欲明, 洪润民. Hashin准则的应力应变形式在复合材料渐进损伤计算中的对比[J]. 机械工程学报, 2022, 58(22): 284-293.

LI Xiang, JIA Yu-ming, HONG Run-min. Comparison between the Stress Form and Strain Form of Hashin Criteria in Progressive Failure Analysis of Composite Materials[J]. Journal of Mechanical Engineering, 2022, 58(22): 284-293.

参考文献

[1] PINHO S. Modelling failure of laminated composites using physically-based failure models[D]. London:Department of Aeronautics Imperial College,2005.
[2] HASHIN Z. Failure criteria for unidirectional fiber composites[J]. ASME Journal of Applied Mechanics,1980,47:329-334.
[3] CHANG F K,CHANG K Y. A progressive damage model for laminated composites containing stress concentrations[J]. Journal of Composite Materials,1987,21(9):834-855.
[4] PUCK A,SCHURMANN H. Failure analysis of FRP laminates by means of physically based phenomenological models[J]. Composites Science and Technology,2002,62:1633-1662.
[5] LINDE P,HENK D B. Modelling of inter-rivet buckling of hybrid composites[J]. Composite Structures,2006,73:221-228.
[6] PINHO S, VYAS G, ROBINSON P. Material and structural response of polymer-matrix fiber-reinforced composites:Part B[J]. Journal of Composite Materials,2013,47(6-7):679-696.
[7] ROZYLO P. Experimental-numerical study into the stability and failure of compressed thin-walled composite profiles using progressive failure analysis and cohesive zone model[J]. Composite Structures,2020,257:113303.
[8] 马晓龙,李成,铁瑛,等.搭接长度对平纹机织复合材料胶接结构连接性能影响的多尺度分析[J].机械工程学报,2020,56(22):101-111.MA Xiaolong,LI Cheng,TIE Ying,et al. Multiscale analysis on the effect of lap length on bonding strength of adhesively bonding structures of plain weave composites[J]. Journal of Mechanical Engineering,2020,56(22):101-111.
[9] BRAUN M,ARIZA M P. A progressive damage based lattice model for dynamic fracture of composite materials[J]. Composites Science and Technology,2020,200:108335.
[10] HUANG C H,LEE Y J. Experiments and simulation of the static contact crush of composite laminated plates[J].Composite Structures,2003,61:265-270.
[11] 唐玉玲,陈浩,周振功,等. C/C编织复合材料双剪连接结构的挤压强度[J].机械工程学报,2020,56(18):51-60.TANG Yuling,CHEN Hao,ZHOU Zhengong,et al.Bearing strength of carbon/carbon braided composites double shear joint[J]. Journal of Mechanical Engineering,2020,56(18):51-60.
[12] 姚辽军,赵美英,万小朋.基于CDM-CZM的复合材料补片补强参数分析[J].航空学报,2012,33(4):666-671.YAO Liaojun,ZHAO Meiyin,WAN Xiaopeng. Parameter analysis of composite laminates with patched reinforcement based on CDM-CZM[J]. Acta Aeronautica et Astronautica Sinica,2012,33(4):666-671.
[13] 张辰,饶云飞,李倩倩,等.碳纤维-玻璃纤维混杂增强环氧树脂复合材料低速冲击性能及其模拟[J].复合材料学报,2021,38(1):165-176.ZHANG Chen, RAO Yunfei, LI Qianqian, et al.Low-velocity impact behavior and numerical simulation of carbon fiber-glass fiber hybrid reinforced epoxy composites[J]. Acta Materiae Compositae Sinica,2021,38(1):165-176.
[14] HAN W Q,HU K J,SHI Q H,et al. Damage evolution analysis of open-hole tensile laminated composites using a progress damage model verified by AE and DIC[J].Composite Structures,2020,247:112452.
[15] YANG Y X,LIU X S,WANG Y Q,et al. A progressive damage model for predicting damage evolution of laminated composites subjected to three-point bending[J].Composites Science and Technology,2017,151:83-93.
[16] WANG Y Q,TONG M,ZHU S. Three dimensional continuum damage mechanics model of progressive failure Analysis in fibre-reinforced composite laminates[C]//AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics&Materials Conference. California,2009.
[17] PETER W. Nonlinear finite element methods[M]. Berlin Heidelberg:Springer-Verlag,2008.
[18] 凌道盛,徐兴.非线性有限元及程序[M].杭州:浙江大学出版社,2004.LING Daosheng,XU Xing. Nonlinear finite element methods and codes[M]. Hangzhou:Zhejiang University Press,2004.
[19] SEILGHT D W. Progressive failure analysis methodology for laminated composite structures[R]. NASA/TP-1999-209107,1999.
[20] VOYIADJIS G Z,KATTAN P I. Fundamental aspects for characterization in continuum damage mechanics[J].International Journal of Damage Mechanics,2019,28(2):200-218.
[21] JIN K,WANG H,TAO J,et al. Mechanical analysis and progressive failure prediction for fiber metal laminates using a 3D constitutive model[J]. Composites Part A,2019,124:105490.
[22] CAMANHO P P,MAIMI P,DAVILA C G. Prediction of size effects in notched laminates using continuum damage mechanics[J]. Composites Science and Technology,2007,67:2715-2727.
[23] HAI Q,MISHNAEVSKY L. 3D constitutive model of anisotropic damage for unidirectional ply based on physical failure mechanisms[J]. Computational Materials Science,2010,50(2):479-486.
[24] GONILHA J A,SILVESTRE N,CORREIA J R,et al.Novel progressive failure model for quasi-orthotropic pultruded FRP structures:Formulation and calibration of parameters(Part I)[J]. Composite Structures,2021,255:112974.
[25] LIN S Y, WAAS A M. An experimental and computational study on the low velocity impact-induced damage of a highly anisotropic laminated composite panel[J]. ASME Journal of Applied Mechanics,2021,88:081001.
[26] LAPCZYK I, HURTADO J A. Progressive damage modeling in fiber-reinforced materials[J]. Composites Part A,2007,38:2333-2341.
[27] 吴义韬,姚卫星,吴富强.复合材料层合板面内渐进损伤分析的CDM模型[J].力学学报,2014,46(1):94-104.WU Yitao,YAO Weixing,WU Fuqiang. CDM model for intralaminar progressive damage analysis of composite laminates[J]. Chinese Journal of Theoretical and Applied Mechanics,2014,46(1):94-104.
[28] MAIMI P,CAMANHOA P P,MAYUGO J A,et al. A continuum damage model for composite laminates:Part IIComputational implementation and validation[J].Mechanics of Materials,2007,39(10):909-919.
[29] 石亦平,周玉蓉. ABAQUS有限元分析实例详解[M].北京:机械工业出版社,2017.SHI Yiping,ZHOU Yurong. Discussions on ABAQUS finite element examples[M]. Beijing:China Machine Press,2017.

Hashin准则的应力应变形式在复合材料渐进损伤计算中的对比

Comparison between the Stress Form and Strain Form of Hashin Criteria in Progressive Failure Analysis of Composite Materials

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	董志刚, 王中旺, 冉乙川, 鲍岩, 康仁科. 碳纤维增强陶瓷基复合材料超声振动辅助铣削加工技术的研究进展[J]. 机械工程学报, 2024, 60(9): 26-56.
[2]	吴杰, 党嘉强, 李宇罡, 陈东, 安庆龙, 王浩伟, 陈明. 应力超声滚压表面强化机理和抗疲劳性能研究[J]. 机械工程学报, 2024, 60(9): 127-136.
[3]	李继成, 陈广俊, 许金凯, 于化东. C/SiC复合材料激光超声复合微切削材料损伤机理与表面质量研究[J]. 机械工程学报, 2024, 60(9): 189-205.
[4]	李晗, 章程, 陈杰, 安庆龙, 陈明. SiC_f/SiC复合材料激光烧蚀辅助铣削材料去除机理与加工表面质量评价[J]. 机械工程学报, 2024, 60(9): 206-217.
[5]	王帅帅, 段振景, 刘吉宇, 李育恒, 王梓恒, 周瑜阳, 刘新, 宋金龙, 孙晶. 冷等离子体耦合微量润滑微铣削CFRP加工性能与机理研究[J]. 机械工程学报, 2024, 60(9): 338-350.
[6]	蹇文轩, 丛孟启, 雷卫宁. 基于搅拌摩擦加工技术的镁基复合材料研究进展[J]. 机械工程学报, 2024, 60(8): 48-64.
[7]	谢晨阳, 黄鲛, 肖光明, 张贤杰, 王俊彪, 李玉军. 考虑纤维波纹度的单向复合材料代表性体积元生成算法[J]. 机械工程学报, 2024, 60(8): 186-195.
[8]	冯勇, 周豪杰, 周智远, 贾晓林, 秦育彦, 徐伟伟. 低频扭转振动辅助螺旋铣孔切削力模型研究[J]. 机械工程学报, 2024, 60(5): 390-402.
[9]	宋国荣, 宋协宏, 吕炎, 刘兵, 何存富, 吴斌. 基于超声透射特性的复合材料粘接结构粘接质量预测[J]. 机械工程学报, 2024, 60(4): 230-238.
[10]	余海燕, 贺宏伟, 邢萍. 考虑不同刚度退化模式的碳纤维增强复合材料失效模型开发[J]. 机械工程学报, 2024, 60(2): 197-208.
[11]	刘小峰, 张天瑀, 韦代平, 柏林, 陈兵奎. 复合材料基体裂纹损伤演化的自适应粒子滤波预测[J]. 机械工程学报, 2024, 60(18): 32-42.
[12]	李怡然, 尧军平, 梁超群, 肖鹏, 陈国鑫, 李步炜. 基于三维微观结构的SiC/AZ91D复合材料单轴拉伸过程中裂纹萌生扩展机制[J]. 机械工程学报, 2024, 60(16): 160-170.
[13]	姜琳琳, 于天, 李瑶, 焦宗夏, 尚耀星. 复合材料伺服液压缸精准摩擦特性测试方法研究[J]. 机械工程学报, 2024, 60(16): 338-347.
[14]	刘明良, 唐颀, 田小永, 刘腾飞, 秦滢杰, 李涤尘. 连续纤维增强加筋圆柱壳回转3D打印工艺及其轴压性能研究[J]. 机械工程学报, 2024, 60(15): 283-290.
[15]	王福吉, 王公硕, 王洪全, 付饶, 吴博, 王琦. 短-连续碳纤维同步增强热塑性复合材料预浸线材制备及3D打印工艺分析[J]. 机械工程学报, 2024, 60(11): 283-295.