Research on crack propagation of composite materials based on cohesive zone model

doi:10.19936/j.cnki.2096-8000.20220128.001

Abstract

Abstract: Based on the cohesive zone model, this paper develops the numerical calculation method of the three-dimensional zero-thickness cohesive element, and combines the finite element theory to derive the finite element format of the bilinear cohesive zone model and the PPR cohesive zone model. By using the ABAQUS-UEL subroutine module, a three-dimensional eight-node cohesive zone element was developed. Compared with the actual composite material layering test results and the simulation results in ABAQUS, it is proved that it can simulate the problem of composite material delamination damage accurately. The numerical program is applied to the study of the delamination damage mechanism of composite materials. The results show that the PPR cohesive zone model based on potential energy has lower computational cost, higher convergence for calculating delamination damage, higher accuracy. What's more, it further clarifies the influence of peak strength, cohesion zone length, and composite layering angle on the numerical convergence and calculation accuracy of the cohesion model.

Key words: composite laminate, ABAQUS-UEL subroutine, Fortran language, cohesive zone model, delamination damage

CLC Number:

TB332

HE Zhen-peng, DENG Dian-kai, LIU Guo-feng, SUN Ai-jun, QIAN Jun-ze, LI Bai-chun, HU Yi-xin, YANG Fan. Research on crack propagation of composite materials based on cohesive zone model[J]. COMPOSITES SCIENCE AND ENGINEERING, 2022, 0(1): 5-12.

References

[1] 杜善义, 关志东. 我国大型客机先进复合材料应对策略思考[J]. 复合材料学报, 2008, 25(1): 1-10.
[2] 付丽. 基于非局部理论的复合材料层合板脱层的理论与数值研究[D]. 哈尔滨: 哈尔滨工业大学, 2009.
[3] BARENBLATT G I. Equilibrium cracks formed during brittle fracture rectilinear cracks in plane plates[J]. Journal of Applied Mathematics & Mechanics, 1959, 23(4): 1009-1029.
[4] DUGDALE D S. Yielding of steel sheets containing slits[J]. Journal of the Mechanics & Physics of Solids, 1960, 8(2): 100-104.
[5] MI Y, CRISFIELD M A, DAVIES G, et al. Progressive delamination using interface elements[J]. Journal of Composite Materials, 1998, 32(14): 1246-1272.
[6] CAMANHO P P, DAVILA C G, MOURA M D. Numerical simulation of mixed-mode progressive delamination in composite materials[J]. Journal of Composite Materials, 2003, 37(16): 1415-1438.
[7] TURON A, CAMANHO P, COSTA J, et al. A damage model for the simulation of delamination in advanced composites under variable-mode loading[J]. Mechanics of Materials, 2006, 38(11): 1072-1089.
[8] HEIDARI-RARANI M, SAYEDAIN M. Finite element modeling strategies for 2D and 3D delamination propagation in composite DCB specimens using VCCT, CZM and XFEM approaches[J]. Theoretical and Applied Fracture Mechanics, 2019, 103: 102246.
[9] BENZEGGAGH M L, KENANE M. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus[J]. Composites Science and Technology, 1996, 56(4): 439-449.
[10] ENGENHARIA F D, BRANCH C M. Numerical simulation of mixed-mode progressive delamination in composite materials[J]. Journal of Composite Materials, 2003, 37(16): 1475-1438.
[11] PARK K, PAULINO G H, ROESLER J R. A unified potential-based cohesive model of mixed-mode fracture[J]. Journal of the Mechanics & Physics of Solids, 2009, 57(6): 891-908.
[12] 吴义韬, 姚卫星, 沈浩杰. 层合板混合模式分层扩展能量准则评估[J]. 南京航空航天大学学报, 2014, 46(3): 364-370.
[13] ABAQUS, Version6.14 Documentation[M]. USA: Dassault Systems Simulia Corp. Providence, RI, 2015.
[14] CAMANHO P P, DAVILA C G. Mixed-mode decohesion finite elements for the simulation of delamination in composite materials[R]. Hampton (VA), USA: NASA, 2002.
[15] BORG R, NILSSON L, SIMONSSON K. Modeling of delamination using a discretized cohesive zone and damage formulation[J]. Composites Science & Technology, 2002, 62(10-11): 1299-1314.
[16] ALFANO M, LUBINEAU G, FURGIUELE F, et al. On the enhancement of bond toughness for Al/epoxy T-peel joints with laser treated substrates[J]. International Journal of Fracture, 2011, 171(2): 139-150.