Study on fracture of fiber-reinforced composite single layer laminate based on adaptive double phase-field model

GUO Wen; MA Yu'e; SUNDAR Natarajan; CHEN Pengcheng; PENG Fan

doi:10.13801/j.cnki.fhclxb.20230816.003

Volume 41 Issue 3

Mar. 2024

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GUO Wen, MA Yu'e, SUNDAR Natarajan, et al. Study on fracture of fiber-reinforced composite single layer laminate based on adaptive double phase-field model[J]. Acta Materiae Compositae Sinica, 2024, 41(3): 1505-1515. doi: 10.13801/j.cnki.fhclxb.20230816.003

Citation:

GUO Wen, MA Yu'e, SUNDAR Natarajan, et al. Study on fracture of fiber-reinforced composite single layer laminate based on adaptive double phase-field model[J]. Acta Materiae Compositae Sinica, 2024, 41(3): 1505-1515. doi: 10.13801/j.cnki.fhclxb.20230816.003

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Study on fracture of fiber-reinforced composite single layer laminate based on adaptive double phase-field model

doi: 10.13801/j.cnki.fhclxb.20230816.003

1.
School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China
2.
School of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India
3.
College of Science, Chang'an University, Xi'an 710064, China

Funds: Projects of International Cooperation and Exchanges NSFC (52061135101)

Received Date: 2023-06-21
Accepted Date: 2023-08-06
Rev Recd Date: 2023-07-26

Available Online: 2023-08-21

Publish Date: 2024-03-01

Abstract

Abstract

The phase-field method can automatically capture crack initiation and propagation, which has obvious advantages in simulating complex fracture behaviors in composites. To distinguish different fracture modes in fiber-reinforced composites (FRC), two phase-field variables were introduced to represent the damage evolution of fiber and matrix, respectively. An adaptive mesh refinement scheme based on the quadtree decomposition was incorporated into the anisotropic double phase-field formulations using the phase-field variables as the error indicators. The corresponding Matlab programs were designed and developed to study the fracture behaviors of the unidirectional and variable stiffness fiber-reinforced composite single layer laminate under tensile load. The results show that: The numerical results are in good agreement with the experimental results; and the adaptive double phase-field method can not only guarantee high computational accuracy but also refine the mesh along the crack paths with the evolution of phase-field parameters automatically and accurately. Moreover, this method can simplify the mesh pre-processing process, greatly reduce the number of unnecessary elements and the calculation cost, improve the calculation efficiency.
- fiber-reinforced composites,
- double phase-field,
- anisotropic,
- adaptive,
- finite element method
Long Abstrsct
Innovation Points

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References(36)

References

[1]	CHE L, LIU S, LIANG J, et al. An improved four-parameter conjugated bond-based peridynamic method for fiber-reinforced composites[J]. Engineering Fracture Mechanics,2022,275:108863. doi: 10.1016/j.engfracmech.2022.108863
[2]	TALREJA R, WAAS A M. Concepts and definitions related to mechanical behavior of fiber reinforced composite materials[J]. Composites Science and Technology,2022,217:109081. doi: 10.1016/j.compscitech.2021.109081
[3]	黄争鸣. 复合材料的力学理论[J]. 复合材料学报, 2023, 40(6):3090-3114. HUANG Zhengming. Mechanics theories for composites[J]. Acta Materiae Compositae Sinica,2023,40(6):3090-3114(in Chinese).
[4]	FRANCFORT G A, MARIGO J J. Revisiting brittle fracture as an energy minimization problem[J]. Journal of the Mechanics and Physics of Solids,1998,46(8):1319-1342. doi: 10.1016/S0022-5096(98)00034-9
[5]	BOURDIN B, FRANCFORT G A, MARIGO J J. Numerical experiments in revisited brittle fracture[J]. Journal of the Mechanics and Physics of Solids,2000,48(4):797-826. doi: 10.1016/S0022-5096(99)00028-9
[6]	BUI T Q, HU X. A review of phase-field models, fundamentals and their applications to composite laminates[J]. Engineering Fracture Mechanics,2021,248:107705. doi: 10.1016/j.engfracmech.2021.107705
[7]	胡小飞, 张鹏, 姚伟岸. 断裂相场法[M]. 北京: 科学出版社, 2022: 3-4. HU Xiaofei, ZHANG Peng, YAO Wei'an. Phase field method for fracture[M]. Beijing: Science Press, 2022: 3-4(in Chinese).
[8]	ZHOU S, WANG T, WU X, et al. Three-dimensional phase field modeling of progressive failure in aramid short fiber reinforced paper[J]. Mechanics of Advanced Materials and Structures, 2023, 30(24): 5106-5121.
[9]	WU J Y, CHEN W X. Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations[J]. Computer Methods in Applied Mechanics and Engineering,2021,387:114125. doi: 10.1016/j.cma.2021.114125
[10]	CHEN W X, WU J Y. Phase-field cohesive zone modeling of multi-physical fracture in solids and the open-source implementation in Comsol Multiphysics[J]. Theoretical and Applied Fracture Mechanics,2022,117:103153. doi: 10.1016/j.tafmec.2021.103153
[11]	彭帆, 马玉娥, 黄玮, 等. 基于相场法的复合材料失效分析研究进展[J]. 复合材料学报, 2023, 40(5):2495-2506. PENG Fan, MA Yu'e, HUANG Wei, et al. Failure analysis of composite materials based on phase field method–A review[J]. Acta Materiae Compositae Sinica,2023,40(5):2495-2506(in Chinese).
[12]	MESGARNEJAD A, IMANIAN A, KARMA A. Phase-field models for fatigue crack growth[J]. Theoretical and Applied Fracture Mechanics,2019,103:102282. doi: 10.1016/j.tafmec.2019.102282
[13]	TAN Y, HE Y, LI X, et al. A phase field model for fatigue fracture in piezoelectric solids: A residual controlled staggered scheme[J]. Computer Methods in Applied Mechanics and Engineering,2022,399:115459. doi: 10.1016/j.cma.2022.115459
[14]	NGUYEN V P, WU J Y. Modeling dynamic fracture of solids with a phase-field regularized cohesive zone model[J]. Computer Methods in Applied Mechanics and Engineering,2018,340:1000-1022. doi: 10.1016/j.cma.2018.06.015
[15]	NIU Z, ZIAEI-RAD V, WU Z, et al. An asynchronous variational integrator for the phase field approach to dynamic fracture[J]. International Journal for Numerical Methods in Engineering,2023,124(2):434-457. doi: 10.1002/nme.7127
[16]	WU J, MCAULIFFE C, WAISMAN H, et al. Stochastic analysis of polymer composites rupture at large deformations modeled by a phase field method[J]. Computer Methods in Applied Mechanics and Engineering,2016,312:596-634. doi: 10.1016/j.cma.2016.06.010
[17]	CLAYTON J D, KNAP J. Phase field modeling of directional fracture in anisotropic polycrystals[J]. Computational Materials Science,2015,98:158-169. doi: 10.1016/j.commatsci.2014.11.009
[18]	NATARAJAN S, ANNABATTULA R K. Modeling crack propagation in variable stiffness composite laminates using the phase field method[J]. Composite Structures,2019,209:424-433. doi: 10.1016/j.compstruct.2018.10.083
[19]	ZHANG P, HU X, BUI T Q, et al. Phase field modeling of fracture in fiber reinforced composite laminate[J]. International Journal of Mechanical Sciences,2019,161:105008.
[20]	ZHANG P, YAO W, HU X, et al. 3D micromechanical progressive failure simulation for fiber-reinforced composites[J]. Composite Structures,2020,249:112534. doi: 10.1016/j.compstruct.2020.112534
[21]	PAN Z Z, ZHANG L W, LIEW K M. A phase-field framework for failure modeling of variable stiffness composite laminae[J]. Computer Methods in Applied Mechanics and Engineering,2022,388:114192. doi: 10.1016/j.cma.2021.114192
[22]	BLEYER J, ALESSI R. Phase-field modeling of anisotropic brittle fracture including several damage mechanisms[J]. Computer Methods in Applied Mechanics and Engineering,2018,336:213-236. doi: 10.1016/j.cma.2018.03.012
[23]	DEAN A, REINOSO J, JHA N K, et al. A phase field approach for ductile fracture of short fibre reinforced composites[J]. Theoretical and Applied Fracture Mechanics,2020,106:102495. doi: 10.1016/j.tafmec.2020.102495
[24]	ZHANG P, TAN S, HU X, et al. A double-phase field model for multiple failures in composites[J]. Composite Structures,2022,293:115730. doi: 10.1016/j.compstruct.2022.115730
[25]	DAN S, TARAFDER P, GHOSH S. Adaptive wavelet-enhanced cohesive zone phase-field FE model for crack evolution in piezoelectric composites[J]. Computer Methods in Applied Mechanics and Engineering,2022,392:114636. doi: 10.1016/j.cma.2022.114636
[26]	邵玉龙, 段庆林, 高欣, 等. 自适应一致性高阶无单元伽辽金法[J]. 力学学报, 2017, 49(1):105-116. doi: 10.6052/0459-1879-16-252 SHAO Yulong, DUAN Qinglin, GAO Xin, et al. Adaptive consistent high order element-free Galerkin method[J]. Chinese Journal of Theoretical and Applied Mechanics,2017,49(1):105-116(in Chinese). doi: 10.6052/0459-1879-16-252
[27]	GUPTA A, KRISHNAN U M, MANDAL T K, et al. An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture[J]. Computer Methods in Applied Mechanics and Engineering,2022,399:115347. doi: 10.1016/j.cma.2022.115347
[28]	NOII N, ALDAKHEEL F, WICK T, et al. An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture[J]. Computer Methods in Applied Mechanics and Engineering,2020,361:112744. doi: 10.1016/j.cma.2019.112744
[29]	CHEN L, LI B, DE BORST R. Adaptive isogeometric analysis for phase-field modeling of anisotropic brittle fracture[J]. International Journal for Numerical Methods in Engineering,2020,121(20):4630-4648.
[30]	HIRSHIKESH, JANSARI C, KANNAN K, et al. Adaptive phase field method for quasi-static brittle fracture based on recovery based error indicator and quadtree decomposition[J]. Engineering Fracture Mechanics,2019,220:106599. doi: 10.1016/j.engfracmech.2019.106599
[31]	吴建营. 固体结构损伤破坏统一相场理论、算法和应用[J]. 力学学报, 2021, 53(2):301-329. doi: 10.6052/0459-1879-20-295 WU Jianying. On the theoretical and numerical aspects of the unified phase-field theory for damage and failure in solids and structures[J]. Chinese Journal of Theoretical and Applied Mechanics,2021,53(2):301-329(in Chinese). doi: 10.6052/0459-1879-20-295
[32]	TAN Y, HE Y, LI X. Phase field fracture modeling of transversely isotropic piezoelectric material with anisotropic fracture toughness[J]. International Journal of Solids and Structures,2022,248:111615. doi: 10.1016/j.ijsolstr.2022.111615
[33]	REZAEI S, OKOE-AMON J N, VARKEY C A, et al. A cohesive phase-field fracture model for chemo-mechanical environments: Studies on degradation in battery materials[J]. Theoretical and Applied Fracture Mechanics, 2023, 124: 103758.
[34]	FLOATER M S. Mean value coordinates[J]. Computer Aided Geometric Design,2003,20(1):19-27. doi: 10.1016/S0167-8396(03)00002-5
[35]	CAHILL L M A, NATARAJAN S, BORDAS S P A, et al. An experimental/numerical investigation into the main driving force for crack propagation in unidirectional fibre-reinforced composite laminae[J]. Composite Structures,2014,107:119-130. doi: 10.1016/j.compstruct.2013.05.039
[36]	MODNIKS J, SPĀRNIŅŠ E, ANDERSONS J, et al. Analysis of the effect of a stress raiser on the strength of a UD flax/epoxy composite in off-axis tension[J]. Journal of Composite Materials,2015,49(9):1071-1080. doi: 10.1177/0021998314528827