Numerical simulation of fatigue delamination in composite laminates based on cohesive zone model

doi:10.19936/j.cnki.2096-8000.20230828.003

Abstract

Abstract: In order to study the delamination behaviour of composite laminates subjected to fatigue loading, an improved fatigue damage rate strategy was proposed based on cohesive zone model (CZM). This strategy only requires the fatigue crack growth rate Paris law as the input parameters while no crack tip tracking or additional parameter fitting is needed. The proposed fatigue damage rate strategy was implemented into the commercial software ABAQUS/Explicit via a user written subroutine VUMAT, and the fatigue damage processes of composite unidirectional laminates under mode Ⅰ, mode Ⅱ and Ⅰ/Ⅱ mixed-mode loading scenarios were simulated, and the results show that the improved model can effectively simulate the fatigue delamination of composite laminates. Finally, error analysis and mesh sensitivity analysis of the model were carried out, and it is shown that longer fatigue cohesive zone lengths can clearly improve the computational accuracy of the proposed model.

Key words: composite laminates, fatigue damage, delamination, cohesive zone model, VUMAT subroutine

CLC Number:

TB332

XIANG Genyang, FENG Dianshi. Numerical simulation of fatigue delamination in composite laminates based on cohesive zone model[J]. COMPOSITES SCIENCE AND ENGINEERING, 2023, 0(8): 19-25.

References

[1] 沈军, 谢怀勤. 航空用复合材料的研究与应用进展[J]. 玻璃钢/复合材料, 2006(5): 48-54.
[2] 程小全, 杜晓渊. 纤维增强复合材料疲劳寿命预测及损伤分析模型研究进展[J]. 北京航空航天大学学报, 2021, 47(7): 1311-1322.
[3] RYBICKI E F, KANNINEN M F. A Finite element calculation of stress intensity factors by a modified crack closure integral[J]. Engineering Fracture Mechanics, 1977, 9(4): 931-938.
[4] DUGDALE D S. Yielding of steel sheets containing slits[J]. Journal of the Mechanics and Physics of Solids, 1960, 8(2): 100-104.
[5] BARENBLATT G I. Mathematical theory of equilibrium cracks formed in brittle fracture[J]. Advances in Applied Mechanics, 1962, 7: 56-129.
[6] FENG D, AYMERICH F. Finite element modelling of damage induced by low-velocity impact on composite laminates[J]. Composite Structures, 2014, 108: 161-171.
[7] FENG D, LOI G, AYMERICH F. A numerical and experimental investigation into the impact response of sandwich composites under different boundary conditions[J]. Journal of Composite Science, 2022, 6(3): 88.
[8] 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.
[9] TURON A, COSTA J, CAMANHO P P, et al. Simulation of delamination in composites under high-cycle fatigue[J]. Composites Part A: Applied Science and Manufacturing, 2007, 38(11): 2270-2282.[10] PIRONDI A, MORONI F. A progressive damage model for the prediction of fatigue crack growth in bonded joints[J]. The Journal of Adhesion, Taylor & Francis, 2010, 86(5-6): 501-521.
[11] KAWASHITA L F, HALLETT S R. A crack tip tracking algorithm for cohesive interface element analysis of fatigue delamination propagation in composite materials[J]. International Journal of Solids and Structures, 2012, 49(21): 2898-2913.
[12] ZHANG B, KAWASHITA L F, HALLETT S R. Composites fatigue delamination prediction using double load envelopes and twin cohesive models[J]. Composites Part A: Applied Science and Manufacturing, 2020, 129: 105711.
[13] TEIMOURI F, HEIDARI-RARANI M, ABOUTALEBI F H. Finite element modeling of mode Ⅰ fatigue delamination growth in composites under large-scale fiber bridging[J]. Composite Structures, 2021, 263: 113716.
[14] HARPER P W, HALLETT S R. A fatigue degradation law for cohesive interface elements-Development and application to composite materials[J]. International Journal of Fatigue, 2010, 32(11): 1774-1787.
[15] ASP L E, SJÖGREN A, GREENHALGH E S. Delamination growth and thresholds in a carbon/epoxy composite under fatigue loading[J]. Journal of Composites Technology and Research, 2001, 23(2): 55-68.