THE DEVELOPMENT OF COMPOSITE DELAMIANTION FAILURE BASED ON COHESIVE ZONE MODEL (CZM)

Abstract

Abstract: Composite has been widely applied in different fields, and the delamiantion failure is one of the main failure. In this paper, the development of composite delamiantion failure based on the cohesive zone model (CZM) is presented. First, the development history of CZM, the research status of strength parameters and constitutive relation are introduced and the existing problems are analyzed. Second, the application status of CZM in the composite delamiantion failure anlysis is present and the existing problems of this model applied in the finite element method are introduced. The research result shows that although the CZM is the main method to analyze the composite delamiantion failure, the problems of the prediction accuracy of parameters, convergence difficulties and low calculation efficiency should be solved.

Key words: composite, delamiantion failure, cohesive zone model (CZM)

CLC Number:

TB332

LI Fei, MA Ping-ping, WANG Xin-yu-fang. THE DEVELOPMENT OF COMPOSITE DELAMIANTION FAILURE BASED ON COHESIVE ZONE MODEL (CZM)[J]. Fiber Reinforced Plastics/Composites, 2016, 0(7): 86-91.

References

[1] 李飞. 复合材料新型连接技术及在桁架中的应用研究[D]. 南京: 解放军理工大学博士学位论文, 2012.
[2] 赵启林, 李飞, 徐康. 新型复合材料桁架结构静载试验研究[J]. FRP-7年会, 2011: 33-45.
[3] Liu P F, Zhao Q L, Li F, et al. Research on the Mechanical Properties of a Glass Fiber Reinforced Polymer-Steel Combined Truss Structure[J]. The Scientic World Journal, 2014, 11: 104-117.
[4] 苗大胜. 纤维增强树脂基复合材料组合空间桁架桥连接技术和结构性能研究[D]. 南京: 解放军理工大学硕士学位论文, 2013.
[5] Zhang D, Zhao Q L, Huang Y, et al. Flexural properties of a lightweight hybrid FRP-aluminum modular space truss bridge system[J]. Composite Structures, 2014, 108(0): 600-615.
[6] Deng A Z, Zhao Q L, Li F, et al. Research on bearing capacity of single tooth to composite pre-tightened teeth connection[J]. Journal of Reinforced Plastics and Composites, 2013, 32(21):1603-1613.
[7] 徐龙星. 复合材料预紧力齿连接承载力计算方法与试验研究[D]. 南京: 解放军理工大学硕士学位论文, 2014.
[8] 马毓, 李飞, 赵启林. 复合材料构件机械连接接头破坏模式与机理[J]. 解放军理工大学学报, 2010,12: 10-15.
[9] 崔浩, 李玉龙, 刘元镛, 等. 基于粘聚区模型的含填充区复合材料接头失效数值模拟[J]. 复合材料学报, 2010,27(2): 161-168.
[10] Dugdale DS. Yielding of steel sheets containing slits[J]. Journal of the Mechanics and Physics of Solids, 1960, 8: 100-104.
[11] Barenblatt G. The mathematical theory of equilibrium cracks in brittle fracture[J]. Advances in Applied Mechanics, 1962, 7: 55-129.
[12] Hillerborg A, Modeer M, Petersson PE. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J]. Cement and Concrete Research, 1976, 6: 773-782.
[13] 叶强. 层合复合材料的粘聚区模型及其应用研究[D]. 南京: 南京航空航天大学博士论文, 2012.
[14] B. Blaysat A. B., J.P.M. Hoefnagels, et al. Interface debonding characterization by image correlation integrated with Double Cantilever Beam kinematics[J]. International Journal of Solids and Structures, 2014,30: 1-13.
[15] 叶强, 陈普会. 复合材料粘聚区模型的强度参数预测[J]. 固体力学学报, 2012,33(6): 566-573.
[16] Zhu.Y, Liechti.K.M, Ravi-Chandar. Direct extraction of rate-dependent traction-separation laws for polyurea/steel interfaces[J]. Int. J. Solids Struct., 2009, 46: 31-51.
[17] Kim HG, Lee KW. A study on the influence of measurement location and regularization on the evaluation of boundary tractions by inverse finite element method[J]. Finite Elem Anal Des., 2009,45: 569-582.
[18] Jae-Chul Oh, Hyun-Gyu Kim. Inverse estimation of cohesive zone laws from experimentally measured displacements for the quasi-static mode I fracture of PMMA[J]. Engineering Fracture Mechanics, 2013,99: 118-131.
[19] Elices, M., Guinea, G.V., Gómez, J., et al. The cohesive zone model: advantages, limitations and challenges[J]. Eng. Fract. Mech, 2002, 69: 137-163.
[20] Shen, B., Paulino, G.H.. Identication of cohesive zone model and elastic parameters of fiber-reinforced cementitious composites using digital image correlation and a hybrid inverse technique[J]. Cement Concr. Compos., 2011, 33: 572-585.
[21] Cropper, W.P., Holm, J.A., Miller, C. J.. An inverse analysis of a matrix population model using a genetic algorithm[J]. Ecol. Inf., 2012, 7 (1): 41-45.
[22] Amaya, K., Ridha, M., Aoki, S.. Corrosion pattern detection by multi-step genetic algorithm. Inverse Probl[J]. Eng. Mech., 2003, 5: 213-219.
[23] Jin, Z.Y., Cui, Z.S.. Investigation on strain dependence of dynamic recrystallization behavior using an inverse analysis method[J]. Mater. Sci. Eng., 2010, 527: 3111-3119.
[24] Gu, Y., Nakamura, T., Prchlik, L., Sampath, et al. Micro-indentation and inverse analysis to characterize elastic-plastic graded materials[J]. Mater. Sci.Eng., 2003, 2: 223-233.
[25] Corigliano, A., Mariani, S., Orsatti, B.. Identification of Gurson-Tvergaard material model parameters via Kalman filtering technique-I[J]. Theory. Int. J. Fract., 2004, 104: 347-371.
[26] Giulio Alfano. On the infiuence of the shape of the interface law on the application of cohesive-zone models[J]. Composite science and technology., 2006, 66: 723-730.
[27] Hilleborg A, Mode′er M, Petersson PE. Analysis of crack formation and crack growth in concrete by means of fracturemechanics and finite elements[J]. Cem Concr Res., 1976, 6: 773-782.
[28] Mi Y, Crisfield MA, Hellweg HB, et al. Finite element method and progressive failure modelling of composite structures. Computational plasticity: Fundamentals and applications Part 1[C]. Barcelona: CIMNE; 1997.
[29] Mi Y, Crisfield MA, Davies GAO, et al. Progressive delamination using interface elements[J]. J Compos Mater., 1998, 32(14): 1246-1272.
[30] Alfano G, Crisfield MA. Finite element interface models for the delamination analysis of laminated composites: Mechanical andcomputational issues[J]. Int J Numer Meth Eng., 2001, 50(7): 1701-1736.
[31] Allix O, Lade veze P, Corigliano A. Damage analysis of interlaminar fracture specimens[J]. Compos Struct.,1995, 31(1): 61-74.
[32] Allix O, Corigliano A. Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens [J]. Int J Fract., 1996, 77: 111-140.
[33] Champaney L, Valoroso N. Evaluation of interface models for the analysis of non-linear behaviour of adhesively bonded joints. Proceedings of the European conference on computational mechanics ECCM-2001[C]. CracowPoland, 2001.
[34] Needleman A. An analysis of tensile decohesion along an interface[J]. J Mech Phys Solids, 1990, 38(3): 289-324.
[35] Chandra N, Li H, Shet C, et al. Some issues in the application of cohesive zone models for metal-ceramic interfaces[J]. Int J Solids Struct., 2002, 39(10): 2827-2855.
[36] Tvergaard V, Hutchinson JW. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids[J]. J Mech Phys Solids, 1992, 40(6): 1377-1397.
[37] Tvergaard V, Hutchinson JW. The infiuence of plasticity on mixed mode interface toughness[J]. J Mech Phys Solids,1993, 41(6): 1119-1135.
[38] R.D.S.G. Campilho, et al. Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer[J]. International Journal of Adhesion & Adhesives, 2013, 44 : 48-56.
[39] Ridha M, Tan VBC, Tay TE. Traction-separation laws for progressive failure of a bonded scarf repair of composite panel[J]. Compos. Struct., 2010, 93: 1239-1245.
[40] Jousset P., Rachik M.. Comparison and evalua-tion of two types of cohesive zone models for the finite element analysis of fracture propagation in industrial bonded structures[J]. Engineering Fracture Mechanics, 2014,132: 48-69.
[41] Xu Y J , Li X, Wang X, et al. Inverse parameter identication of cohesive zone model for simulating mixed-mode crack propagation[J]. International Journal of Solids and Structures, 2014, 51: 2400-2410.
[42] Hattiangadi A, Siegmund T. A thermomechanical cohesive zone model for bridged delamination cracks[J]. J Mech Phys Solids., 2004, 52(3): 533-566.
[43] Love BM, Batra RC. Effect of particulate/matrix debonding on the formation of adiabatic shear bands[J]. Int J Mech Sci., 2010, 52(2): 386-397.
[44] Sun S Y, Chen H R. Quasi-static and dynamic fracture behavior of composite sandwich beamswith a visco-elastic interface crack[J]. Composites Science and Technology, 2010, (70): 1011-1016.
[45] Caner F C, Bazant Z P. Size effect on strength of laminate-foam sandwich plates: Finite element analysis with interface fracture[J]. Composites: Part B, 2009,(40): 337-348.
[46] Li G, Li C. Assessment of debond simulation and cohesive zone length in a bonded composite joint[J]. Composites: Part B, 2015,69: 359-368.
[47] Li F, Zhao Q L, Chen H S, et al. Prediction of tensile capacity based on CZM of bond FRP tendon anchorage[J]. Composite structures, 2010, 9: 105-110.
[48] Zhao Q L, Li F, Sen H. Analysis of Interfacial Bond Stress of Bonding Anchors for FRP Tendon[J]. CICE, 2010, 134-140.
[49] Turon A, Davila CG, Camanho PP, et al. An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models[J]. Eng Fract Mech., 2007, 74(10): 1665-1682.
[50] Chen J, New A. Application of decohesive model with mixed damage scale in fracture analysis of composite materials[J]. Fatigue Fracture Engineering Materials Structures, 2001,20(2):761-769.
[51] Peerlings R H J, Brekelmans W A M, Geers M G D. Gradient- enhanced damage modeling of high-cycle fatigue[J]. International Journal for Numerical Methods in Engineering, 2000,49(12): 1547-1569.
[52] Robinson P, Galvanetto U, Tumino D, et al. Numerical simulation of fatigue-driven delamination using interface elements[J]. International Journal for Numerical Methods in Engineering, 2005, 63(13): 1824-1848.
[53] Munoz J J, Galvanetto U, Robinson P. On the numerical simulation of fatigue driven delamination with interface elements[J]. International Journal of Fatigue, 2006, 28(10): 1136-1146.
[54] Yang Q, Shim D, Spearing S A. A cohesive model for low cycl fatigue life prediction of sloder joints[J]. Microelectron Engineering, 2004, 75(1): 85-95.
[55] Roe K, Siegmund T. An irrecersible cohesive zone model for interface fatigue crack growth simulation[J]. Engineering Fracture Mechanics, 2003, 70(2): 209-232.
[56] Nguyen O, Repetto E, Ortiz M, et al. A cohesive model for fatigue crack growth[J]. International Journal of Fracture, 2001,110(4): 351-369.
[57] Hillerborg A, Modeer M, Petersson PE. Analysis of crack formation and growth in concrete by means of fracture mechanics and finite elements[J]. Cement Concrete Res., 1976, 6: 773-782.
[58] Planas J, Elices M. Nonlinear fracture of cohesive materials[J]. Int J Fract, 1991, 51: 139-157.
[59] Smith E. The effect of the stress-relative displacement law on failure predictions using the cohesive zone model[J]. Int J Fract, 1999, 99: 41-51.
[60] Williams JG, Hadavinia H. Analytical solutions for cohesive zone models[J]. J Mech Phys Solids, 2002, 50: 809-825.