纤维增强复合材料损伤行为及强度预测细观力学建模研究进展

摘要/Abstract

摘要： 纤维增强复合材料的强度取决于微尺度开裂、脱粘和复合材料单元和组分相之间的相互作用。复合材料的损伤程度是影响工程应用中使用寿命失常的重要因素。采用细观力学模型对复合材料的强度、刚度和使用寿命进行预测,可以实现复合材料结构的宏、细观一体化分析。在此,总结了纤维增强复合材料断裂、损伤和变形的细观力学分析模型的发展,并展望了其发展趋势。

关键词: 纤维增强复合材料, 损伤行为, 细观力学, 分析模型

Abstract: The strength of fiber-reinforced composites is determined by the microscal cracking,debonding and interaction between the elements and phases of the composites.The processes of damage of composites is a main factor to influence the disorder of service life in engineering applications.Prediction of strength,stiffness and service life of composites through micromechanical models can complete the integrated macroscopic and microscopic analysis for composite structure.An overview of methods of micromechanical modeling of damage and fracture in fiber-reinforced composites is presented.The models are classified into different groups,including shear lag-based models,fiber bundle model,fracture mechanics based and continuum damage mechanics based models and et al.And different approaches to the simulation of damage and fracture of fiber-reinforced composites are summarized.Finally,further applications of these micromechanical models applications are briefly noted.

Key words: fiber reinforced composites, damage behavior, micromechanical, analytical modeling

中图分类号:

TB332

王艳飞, 孙耀宁, 孙文磊, 海几哲. 纤维增强复合材料损伤行为及强度预测细观力学建模研究进展[J]. 复合材料科学与工程, 2014, 0(6): 83-89.

WANG Yan-fei, SUN Yao-ning, SUN Wen-lei, HAI Ji-zhe. ADVANCES OF STUDY WITH MICROMECHANICAL MODELING ON DAMAGE BEHAVIOR AND STRENGTH PREDICATION OF PREDICATION FIBER REINFORCED COMPOSITES[J]. COMPOSITES SCIENCE AND ENGINEERING, 2014, 0(6): 83-89.

参考文献

[1] 杜善义. 先进复合材料与航空航天[J]. 复合材料学报, 2007, (01): 1-12.
[2] 王涛, 赵宇新, 付书红, 张勇,等. 连续纤维增强金属基复合材料的研制进展及关键问题[J]. 航空材料学报, 2013, (02): 87-96.
[3] 梅端, 王钧, 李君明, 司洪效. 玻璃纤维增强树脂基复合材料拉-拉疲劳行为研究[J]. 玻璃钢/复合材料, 2013, (02): 39-42.
[4] 武玉芬, 张博明. 碳纤维拉伸强度的离散性分析[J]. 玻璃钢/复合材料, 2010, (03): 29-31.
[5] 杜善义, 王彪. 复合材料细观力学[M]. 北京: 科学出版社, 1998.
[6] 曾庆敦. 复合材料的细观破坏与强度[M]. 北京: 科学出版社, 2002.
[7] 李玮, 段成红, 吴祥. 碳纤维复合材料强度的有限元模拟[J]. 玻璃钢/复合材料, 2011, (01): 20-23.
[8] Cox H L. The elasticity and strength of paper and other fibrous materials[J]. British Journal of Applied Physics, 1952, (3): 87-96.
[9] Hedgepeth J M, Van P. Local stress concentration in imperfect filamentary composite materials[J]. J Comp Mater, 1967, (1): 294-304.
[10] Fukunaga H, Chou T W, Fukuda H. Probabilistic strength analyses of Interlaminated hybrid composites[J]. Composites Science and Technology, 1989, 35(4): 333-345.
[11] Ochiai S, Hojo M. Stress disturbances arising from cut fiber and matrix in unidirectional metal matrix composites calculated by means of a modified shear-lag analysis[J]. Journal of Materials Science, 1996, 31(14): 3861-3869.
[12] Ohno N, Okabe S, Okabe T. Stress concentrations near a fiber break in unidirectional composites with interfacial slip and matrix yielding[J]. Int J Solids Struct, 2004, 41(16-17): 4263-4277.
[13] 曾庆敦, 范赋群. 具有纤维损伤的单向复合材料强度的统计分析[J]. 华南理工大学学报(自然科学版), 1995, (04): 29-35.
[14] 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辑数学物理学天文学技术科学), 1994, (02): 209-217.
[15] Coleman B D. On the strength of classical fibers and fiber bundle[J]. Journal of the Mechanics and Physics of solids, 1958, 7(1): 60-70.
[16] Zweben C, Rosen W. A statistical theory of material strength with Application to composite materials[J]. Journal of the Mechanics and Physics of Solids, 1970, 18(3): 189-206.
[17] 罗祖道, 王震鸣. 复合材料力学进展[M]. 北京: 北京大学出版社, 1992.
[18] Abedian A, Mondali M, Pahlavanpour M. Basic modifications in 3D micromechanical modeling of short fiber composites with bonded and debonded fiber end[J]. Comput Mater Sci., 2007, 40(3): 421-433.
[19] Fukuda H, Kawata K. On the strength distribution of unidirectional fiber composites[J]. Fiber Science and Technology, 1977, 10(1): 53-63.
[20] Jiang G L, Peters K. A shear-lag model for three-dimensional, unidirectional multilayered structures[J]. Int J Solids Struct., 2008, 45(14-15): 4049-4067.
[21] Manders P W, Bader M G, Chou T W. Monte Carlo simulation of the strength of composite fiber bundles[J]. Fiber Science and Technology, 1982, 17(3): 183-204.
[22] Okabe T, Takeda N. Elastoplastic shear-lag analysis of single-fiber composites and strength prediction of unidirectional multi-fiber composites[J]. Compos Pt A-Appl Sci Manuf., 2002, 33(10): 1327-1335.
[23] 孙开俊, 顾伯勤, 周剑锋, 黄星路. 单向短纤维增强复合材料应力传递模型及其细观力学分析[J]. 材料导报, 2011, (18): 121-124.
[24] 王依兵, 张铮, 苏飞. 复合材料模量细观分析的一般性模型[J]. 力学与实践, 2013, (02): 73-76.
[25] Daniels H E. The statistical theory of the strength of bundles of threads[J]. Proceedings of the Royal Society of London, 1945, 183(A995): 405-435.
[26] Kun F, Zapperi S, Herrmann H J. Damage in fiber bundle models[J]. Eur Phys J B, 2000, 17(2): 269-279.
[27] Hidalgo R C, Moreno Y, Kun F, Herrmann H J. Fracture model with variable range of interaction[J]. Physical Review E, 2002, 65(4).
[28] Raischel F, Kun F, Herrmann H J. Failure process of a bundle of plastic fibers[J]. Physical Review E, 2006, 73(6): 066101.
[29] Aveston J, Cooper G A, Kelly A. Single and multiple fracture[M]. Surrey: IPC Science and Technology Press, 1971.
[30] Budiansky B, Hutchinson J W, Evans A G. Matrix fracture in fiber-reinforced ceramics[J]. Journal of the Mechanics and Physics of Solids, 1986, 34(2): 167-189.
[31] Marshall D B, Cox B N. Tensile properties of brittle matrix composites: influence of fiber strength[J]. Acta Metallurgica et Materialia, 1987, 35: 2607-2619.
[32] Marshall D B, Cox B N, Evans A G. The mechanics of matrix cracking in brittle-matrix fiber composites[J]. Acta Metallurgica et Materialia, 1985, 33: 2013-2021.
[33] Mishnaevsky L. Composite materials for wind energy applications: micromechanical modeling and future directions[J]. Computational Mechanics, 2012, 50(2): 195-207.
[34] Mishnaevsky L, Brondsted P. Micromechanical modeling of damage and fracture of unidirectional fiber reinforced composites: A review[J]. Comput Mater Sci., 2009, 44(4): 1351-1359.
[35] Pagano N J, Kim R Y. Progressive microcracking in unidirectional brittle matrix composites[J]. Mechanics of Composite Materials and Structures, 1994, (1):3-29.
[36] Zok F W, Begley M R, Steyer T E, Walls D P. Inelastic deformation of fiber composites containing bridged cracks[J]. Mechanics of Materials, 1997, 26(2): 81-92.
[37] Hassan N M, Batra R C. Modeling damage in polymeric composites[J]. Composites Part B-Engineering, 2008, 39(1): 66-82.
[38] Raghavan P, Ghosh S. A continuum damage mechanics model for unidirectional composites undergoing interfacial debonding[J]. Mechanics of Materials, 2005, 37(9): 955-979.
[39] Mishnaevsky L. Computational mesomechanics of composites: numerical analysis of the effect of microstructures of composites on their strength and damage resistance[M]. West Sussex: John Wiley & Sons Ltd, 2007.
[40] Bonora N, Ruggiero A. Micromechanical modeling of composites with mechanical interface-Part II: Damage mechanics assessment[J]. Composites Science and Technology, 2006, 66(2): 323-332.
[41] Trias D, Costa J, Mayugo J A, Hurtado J E. Random models versus periodic models for fibre reinforced composites[J]. Comput Mater Sci., 2006, 38(2): 316-324.
[42] Vejen N, Pyrz R. Transverse crack growth in glass/epoxy composites with exactly positioned long fibres. Part II: numerical[J]. Composites Part B-Engineering, 2002, 33(4): 279-290.
[43] Zhang Y F, Xia Z H, Ellyin F. Nonlinear viscoelastic micromechanical analysis of fibre-reinforced polymer laminates with damage evolution[J]. Int J Solids Struct, 2005, 42(2): 591-604.
[44] Gonzalez C, Llorca J. Multiscale modeling of fracture in fiber-reinforced composites[J]. Acta Mater, 2006, 54(16): 4171-4181.
[45] Mishnalevsky L, Brondsted P. Micromechanisms of damage in unidirectional fiber reinforced composites: 3D computational analysis[J]. Composites Science and Technology, 2009, 69(7-8): 1036-1044.