SYNERGISTIC DAMAGE MECHANIC MODEL FOR STIFFNESS PROPERTIES OF COMPOSITE LAMINATES

Shen Haojie; Yao Weixing; Wu Fuqiang

doi:10.6052/0459-1879-13-255

Volume 46 Issue 2

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Theoretical and Applied Mechanics > 2014 > 46(2): 255-263. > DOI: 10.6052/0459-1879-13-255 CSTR: 32045.14.0459-1879-13-255

Shen Haojie, Yao Weixing, Wu Fuqiang. SYNERGISTIC DAMAGE MECHANIC MODEL FOR STIFFNESS PROPERTIES OF COMPOSITE LAMINATES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 255-263. DOI: 10.6052/0459-1879-13-255

Citation:

PDF (1225 KB)

SYNERGISTIC DAMAGE MECHANIC MODEL FOR STIFFNESS PROPERTIES OF COMPOSITE LAMINATES

1 Key Laboratory of Fundamental Science for National Defense-Advanced Design Technology of Flight Vehicle, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2 State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Funds: The project was supported by the National Natural Science Foundation of China (11202098) and Program for Changjiang Scholars and Innovative Research Team in University (IRT0968).

Received Date: August 04, 2013
Revised Date: September 15, 2013

Graphical Abstract

Abstract

Abstract

In connection with diffused damage in composite laminates, a synergistic damage mechanic model was proposed for the stiffness properties. The model included the microcosmic responses of the physical damage and macroscopic performance of the material's stiffness. In micro-level, mesoscopic RVE (representative volume element) model was established to obtain crack opening displacement and crack sliding displacement, which were used to define the damage tensor. In macro-level, through homogenizing the material strain and the surface displacement of the damage, the relationship of the stiffness matrix of unidirectional laminate or laminates in damage statue and damage tense was set up. As matrix crack for example, the constitutive relations of the laminates with transverse and longitudinal cracks were constructed, respectively. The influences of the transverse matrix cracks on the stiffness properties of the laminates [±θ/90₄]_S were analyzed with the present model and showed that it is capable to predict the reduction of the stiffness properties resulted from the damage in the laminates.
- diffused damage,
- synergistic damage mechanic,
- damage tensor,
- stiffness properties

FullText(HTML)

References (56)

References

Talreja R. Fatigue of Composite Materials. Lancaster, Pa: Technomic, 1987

Talreja R, Singh CV. Damage and Failure of Composite Materials. Cambridge: Cambridge University Press, 2012

Garrett KW, Bailey JE. Multiple transverse fracture in 90° cross-ply laminates of a glass fibre-reinforced polyester. Journal of Materials Science, 1977, 12(1): 157-168

Parvizi A, Garrett KW, Bailey JE. Constrained cracking in glass fibre-reinforced epoxy cross-ply laminates. Journal of Materials Science, 1978, 13(1): 195-201

Highsmith AL, Reifsnider KL. Stiffness-reduction mechanisms in composite laminates. Damage in Composite Materials, ASTM STP. 1982, 775: 103-117

Manders P, Chou T, Jones F, et al. Statistical analysis of multiple fracture in 0°/90°/0° glass fibre/epoxy resin laminates. Journal of Materials Science, 1983, 18(10): 2876-2889

Flaggs DL. Prediction of tensile matrix failure in composite laminates. Journal of Composite Materials, 1985, 19(1): 29-50

Lim SG, Hong CS. Prediction of transverse cracking and stiffness reduction in cross-ply laminated composites. Journal of Composite Materials, 1989, 23(7): 695-713

Tan SC, Nuismer RJ. A theory for progressive matrix cracking in composite laminates. Journal of Composite Materials, 1989, 23(10): 1029-1047

Nairn JA. On the use of shear-lag methods for analysis of stress transfer in unidirectional composites. Mechanics of Materials, 1997, 26(2): 63-80

Laws N, Dvorak GJ. The loss of stiffness of cracked laminates. Fundamentals of Deformation and Fracture. In:Proc. Eshelby Memorial Symp.(IUTAM), Cambridge University Press, London, 1985. 119-127

Hashin Z. Analysis of cracked laminates: a variational approach. Mechanics of Materials, 1985, 4(2): 121-136

Hashin Z. Analysis of orthogonally cracked laminates under tension. J Appl Mech (Trans. ASME). 1987, 54(4): 872-879

Nairn J A. The strain energy release rate of composite microcracking: a variational approach. Journal of Composite Materials, 1989, 23(11): 1106-1129.

Varna J, Berglund L A. Thermo-elastic properties of composite laminates with transverse cracks. Journal of Composites Technology & Research, 1994, 16(1): 77-87

Kuriakose S, Talreja R. Variational solutions to stresses in cracked cross-ply laminates under bending. International Journal of Solids and Structures, 2004, 41(9): 2331-2347

Zhang J, Herrmann KP. Stiffness degradation induced by multilayer intralaminar cracking in composite laminates. Composites Part A: Applied Science and Manufacturing, 1999, 30(5): 683-706

Kashtalyan M, Soutis C. Stiffness degradation in cross-ply laminates damaged by transverse cracking and splitting. Composites Part A: Applied Science and Manufacturing, 2000, 31(4): 335-351

Kashtalyan M, Soutis C. Stiffness and fracture analysis of laminated composites with off-axis ply matrix cracking. Composites Part A: Applied Science and Manufacturing, 2007, 38(4): 1262-1269

Mccartney LN. Theory of stress transfer in a 0°-90°-0° cross-ply laminate containing a parallel array of transverse cracks. Journal of the Mechanics and Physics of Solids, 1992, 40(1): 27-68

Mccartney LN. Physically based damage models for laminated composites. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials Design and Applications, 2003, 217(3): 163-199

Li S. On the unit cell for micromechanical analysis of fibre-reinforced composites. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1999, 455(1983): 815-838

Li S, Singh C V, Talreja R. A representative volume element based on translational symmetries for FE analysis of cracked laminates with two arrays of cracks. International Journal of Solids and Structures, 2009, 46(7): 1793-1804

Talreja R. A continuum mechanics characterization of damage in composite materials. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985, 399(1817): 195-216

Talreja R. Continuum modelling of damage in ceramic matrix composites. Mechanics of Materials, 1991, 12(2): 165-180

Talreja R. A synergistic damage mechanics approach to durability of composite material systems. Progress in Durability Analysis of Composite Systems, 1996: 117-129

Varna J, Joffe R, Talreja R. A synergistic damage-mechanics analysis of transverse cracking in[±θ/90₄]_s laminates. Composites Science and Technology, 2001, 61(5): 657-665

Varna J, Krasnikovs A, Kumar RS, et al. A synergistic damage mechanics approach to viscoelastic response of cracked cross-ply laminates. International Journal of Damage Mechanics, 2004, 13(4): 301-334.

Singh CV, Talreja R. A synergistic damage mechanics approach for composite laminates with matrix cracks in multiple orientations. Mechanics of Materials, 2009, 41(8): 954-968

Singh CV. A Higher Order Synergistic Damage Model for Prediction of Stiffness Changes due to Ply Cracking in Composite Laminates. CMC: Computers, Materials {& Continua, 2013, 34(3): 227-249

Duan X, Yao WX. Multi-directional stiffness degradation induced by matrix cracking in composite laminates. International Journal of Fatigue, 2002, 24(2): 119-125

Gudmundson P, Östlund S. First order analysis of stiffness reduction due to matrix cracking. Journal of Composite Materials, 1992, 26(7): 1009-1030

Gudmundson P, Zang W. A universal model for thermoelastic properties of macro cracked composite laminates. Int J Solids Struct, 1993, 30: 3211-3231

Lundmark P, Varna J. Constitutive relationships for laminates with ply cracks in in-plane loading. International Journal of Damage Mechanics, 2005, 14(3): 235-259

Lundmark P, Varna J. Crack face sliding effect on stiffness of laminates with ply cracks. Composites Science and Technology, 2006, 66(10): 1444-1454

Nairn JA. Matrix microcracking in composites. Polymer Matrix Composites, 2000, 2: 403-432

Talreja R. Damage characterization by internal variables. Composite Materials Series, 1994: 53

沈为. 复合材料损伤——破坏机制与模型. 力学与实践, 1991, 13(3): 1-16 (Shen Wei. Composite damage——The failure mechanism and the model. Mechanics in Engineering, 1991, 13(3): 1-16 (in Chinese))

翟洪军, 姚卫星. 纤维增强树脂基复合材料的疲劳剩余刚度研究进展. 力学进展, 2002, 32(1): 69-80 (Zhai Hongjun, Yao Weixing. A survey on stiffness redction of fiber reinforced plastics under cyclic load. Advances in Mechanics, 2002, 32(1): 69-80 (in Chinese))

O'Brien TK. Characterization of delamination onset and growth in a composite laminate. Damage in Composite Materials, ASTM STP, 1987, 775(20): 140-167

Kashtalyan M, Soutis C. The effect of delaminations induced by transverse cracks and splits on stiffness properties of composite laminates. Composites Part A: Applied Science and Manufacturing, 2000, 31(2): 107-119

Tang R, Guo Y, Weitsman YJ. An appropriate stiffness degradation parameter to monitor fatigue damage evolution in composites. International Journal of Fatigue, 2004, 26(4): 421-427

Zhang H, Minnetyan L. Variational analysis of transverse cracking and local delamination in[θ m/90n]s laminates. International Journal of Solids and Structures, 2006, 43(22-23): 7061-7081

蒋咏秋, 胥晓鹏, 宋吉强. 分层损伤导致层合复合材料刚度下降的估算. 材料研究学报, 2009, 2(6): 76-80 (Jiang Yongqiu, Xu Xiaopeng, Song Jiqiang. Stiffness reduction of composite laminates due to delamination. Materials Science Progress, 1988, 2(6): 76-80 (in Chinese))

Piggott MR. Load Bearing Fibre Composites. New York: Springer, 2002

蒋咏秋, 胥晓鹏, 王松平等. 层合复合材料由于纤维一基体脱胶引起刚度下降的估算. 材料科学进展, 1990, 4(5): 464-468 (Jiang Yongqiu, Xu Xiaopeng, Wang Songping, et al. Stiffness reduction of composite laminates due to fiber-matrix debonding. Materials Science Progress, 1990, 4(5): 464-468 (in Chinese))

蒋咏秋, 胥晓鹏, 王松平. 层合复合材料纤维断裂引起刚度下降的估算. 材料研究学报, 2009, 2(6): 94-96 (Jiang Yongqiu, Xu Xiaopeng, Wang Songping. Stiffness reduction of composite laminates due to fiber breakage. Materials Science Progress, 1988, 2(6): 94-96 (in Chinese))

姚卫星, 翟洪军. 纤维断裂引起层合板多向刚度减缩的细观力学模型. 南京航空航天大学学报, 2002(05): 413-417 (Zhai Hongjun, Yao Weixing. Meso-mechanical analysis of stiffness reduction of FRP laminates by fibre breaking. Journal of Nanjing University of Aeronautics {& Astronautics, 2002(05): 413-417 (in Chinese))

Mishnaevsky L, Brømptysetdsted P. Micromechanical modeling of damage and fracture of unidirectional fiber reinforced composites: A review. Computational Materials Science, 2009, 44(4): 1351-1359

Talreja R. Multi-scale modeling in damage mechanics of composite materials. Journal of Materials Science, 2006, 41(20): 6800-6812

Na WJ, Reddy JN, Jalali SK, et al. Multiscale analysis of transverse cracking in cross-ply laminated beams using the layerwise theory. Journal of Solid Mechanics, 2010, 2(1): 1-18

Kachanov M. Continuum model of medium with cracks. Journal of the Engineering Mechanics Division, 1980, 106(5): 1039-1051

Allen DH, Yoon C. Homogenization techniques for thermoviscoelastic solids containing cracks. International Journal of Solids and Structures, 1998, 35(31): 4035-4053

Joffe R, Varna J. Analytical modeling of stiffness reduction in symmetric and balanced laminates due to cracks in 90 layers. Composites Science and Technology, 1999, 59(11): 1641-1652

Li S. Boundary conditions for unit cells from periodic microstructures and their implications. Composites Science and Technology, 2008, 68(9): 1962-1974

Li S, Singh CV, Talreja R. A representative volume element based on translational symmetries for FE analysis of cracked laminates with two arrays of cracks. International Journal of Solids and Structures, 2009, 46(7): 1793-1804

[1]	Yan A’min, Qiao Yu, Dai Lanhong. FORMATION AND STABILITY OF SHAPED CHARGE LINER JET OF CrMnFeCoNi HIGH-ENTROPY ALLOY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(8): 2119-2130. DOI: 10.6052/0459-1879-22-274
[2]	Liu Chuanzhen, Bai Peng, Wang Jifei, Liu Qiang. OSCULATING-CONE WAVERIDER DESIGN BY CUSTOMIZING THE PLANFORM SHAPE OF LEADING EDGE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(4): 991-997. DOI: 10.6052/0459-1879-18-368
[3]	Yan Kai, Ning Zhi, Lü Ming, Sun Chunhua, Fu Juan, Li Yuanxu. STUDY ON CORRELATION OF BREAKUP DROPLET SIZE AND VELOCITY DISTRIBUTIONS OF AN ANNULAR SWIRLING VISCOUS LIQUID SHEET[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(3): 566-575. DOI: 10.6052/0459-1879-15-084
[4]	Song Yunchao, Ning Zhi, Sun Chunhua, Lü Ming, Yan Kai, Fu Juan. MOVEMENT AND SPLASHING OF A DROPLET IMPACTING ON A WET WALL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(6): 833-842. DOI: 10.6052/0459-1879-13-053
[5]	LIU Ming-Ming, CHEN Xiao-Peng, XU Xiao-Jian. Experimental study on electrospray modes and steady spray characteristics with multiple metal capillaries[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 567-571. DOI: 10.6052/0459-1879-2010-3-2009-126
[6]	Adjoint Shape Sensitivity Analysis Based On Generalized Variational[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(3): 288-295. DOI: 10.6052/0459-1879-2004-3-2003-220
[7]	RELATIONSHIP BETWEEN PENETRATION AND SHAPE OF FALLING DROP[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(4): 489-492. DOI: 10.6052/0459-1879-1996-4-1995-359
[8]	EXPERIMENTAL STUDY OF MECHANICAL BEHAVIOUR OF TiTi SHAPE MEMORYALLOY[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(5): 587-596. DOI: 10.6052/0459-1879-1995-5-1995-470
[9]	THE CONCEPT OF PRINCIPAL MODE SHAPES AND THE MEASURES OF CONTROLLABILITY AND OBSERVABILITY FOR MODE SHAPES WITH REPEATED FREQUENCIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(4): 424-431. DOI: 10.6052/0459-1879-1994-4-1995-564
[10]	THE CONE-SHAPED VORTEXX STRUCTURE IN FLAT PLATE BOUNDARY AYER[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(1): 121-127. DOI: 10.6052/0459-1879-1994-1-1995-529

Cited By

Cited by

Periodical cited type(10)

1.	黄星，甘云华，敖文，赵明涛，罗燕来，江政纬，陈宁光. 直流电场对AP/HTPB/Al复合固体推进剂燃烧特性的影响. 推进技术. 2023(01): 270-278 .
2.	黄然，程洋，刘馨悦，徐日泰，俞建峰，钱陈豪. 基于EHD的射流稳定性机理分析与实验研究. 微纳电子技术. 2023(01): 124-130+164 .
3.	陈宁光，甘云华. 基于格子Boltzmann方法的荷电液滴蒸发及传热研究. 化工学报. 2023(12): 4829-4839 .
4.	霍元平，张聪，刘海龙，左子文，王军锋. 电场作用下乙醇的稳定多股射流现象. 科学通报. 2020(11): 1046-1054 .
5.	郑高杰，王军锋，霍元平，张伟，李金. 采用粒子图像测速技术测量的预混式双流体静电雾化流场特性. 高电压技术. 2020(04): 1465-1472 .
6.	霍元平，王军锋，左子文，刘海龙. 滴状模式下液桥形成及断裂的电流体动力学特性研究. 力学学报. 2019(02): 425-431 . 本站查看
7.	刘赵淼，徐元迪，逄燕，任彦霖，高山山，钟希祥. 压电式微滴按需喷射的过程控制和规律. 力学学报. 2019(04): 1031-1042 . 本站查看
8.	周思引，聂万胜，车学科，仝毅恒，郑体凯. 非平衡等离子体对甲烷–氧扩散火焰影响的实验研究. 力学学报. 2019(05): 1336-1349 . 本站查看
9.	刘赵淼，王凯峰，王治林，郑会龙，张谭，康振亚. 阶梯型加速段对旋流喷嘴雾化特性的影响. 力学学报. 2018(03): 570-578 . 本站查看
10.	吴健，张蒙齐，田方宝. 三维方腔介电液体电对流的数值模拟研究. 力学学报. 2018(06): 1458-1469 . 本站查看

Other cited types(6)

Get Citation

PDF

XML

Article Metrics

Article views (1258) PDF downloads (1105) Cited by(16)

SYNERGISTIC DAMAGE MECHANIC MODEL FOR STIFFNESS PROPERTIES OF COMPOSITE LAMINATES