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论文:2022,Vol:40,Issue(3):504-511 |
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引用本文： |
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陈鹏程, 马玉娥, 彭帆, 周玲珑. 基于相场法的氢脆断裂模拟[J]. 西北工业大学学报 |
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CHEN Pengcheng, MA Yu'e, PENG Fan, ZHOU Linglong. Simulating hydrogen embrittlement fracture based on phase field method[J]. Northwestern polytechnical university |
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| 基于相场法的氢脆断裂模拟 |
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| 陈鹏程, 马玉娥, 彭帆, 周玲珑 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| 通过引入应变能拉压分解,对相场氢脆断裂模型进行了改进,并给出了改进模型的数值求解公式,推导了浓度场和位移场耦合项刚度矩阵。编写Matlab相场氢脆断裂计算程序,分别模拟了Ⅰ型和Ⅱ型2种不同模式的氢脆断裂过程。数值计算表明:在断裂过程中氢离子会向裂尖处扩散集中,且氢浓度越高,临界破坏载荷越小;对比已有模型计算结果,改进模型能精确计算Ⅰ型断裂问题的临界破坏载荷,准确捕捉脆弹性材料的瞬断过程,且能更有效地模拟Ⅱ型的氢脆断裂过程。 |
| 关键词:
相场法
多场耦合
氢脆
拉压分解
脆弹性断裂
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| Simulating hydrogen embrittlement fracture based on phase field method |
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| CHEN Pengcheng, MA Yu'e, PENG Fan, ZHOU Linglong |
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| School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| The phase field hydrogen embrittlement fracture model is improved by introducing tension-compression split of strain energy. The numerical formulas of the model are provided, besides, the coupling term of concentration field and displacement field is deduced. The matlab software is used to compile the numerical program of phase field hydrogen embrittlement fracture. The modes I and II cracks of hydrogen embrittlement are simulated respectively. The simulation results show that hydrogen ions concentrate at the crack tip where stress concentration happens, and that the hydrogen concentration reduces the critical failure load of the square plate. Compared with the numerical results of the existing models, the improved model can accurately calculate the critical failure load in the mode I crack and capture the embrittlement fracture phenomenon when the phase field and the concentration field are accumulated near the crack tip. Moreover, the improved model can effectively simulate the mode II crack with hydrogen embrittlement. |
| Key words:
phase field method
multi-field coupling
hydrogen embrittlement
tension-compression split
brittle fracture
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| 收稿日期: 2021-08-12
修回日期:
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| DOI: 10.1051/jnwpu/20224030504 |
| 基金项目: 国家自然科学基金(91860128,12032018)资助 |
| 通讯作者: 马玉娥(1975—),女,西北工业大学教授,主要从事航空结构疲劳、断裂与计算力学研究。e-mail:ma.yu.e@nwpu.edu.cn
Email：ma.yu.e@nwpu.edu.cn |
| 作者简介: 陈鹏程(2000—),西北工业大学硕士研究生,主要从事航空结构疲劳、断裂与计算力学研究。
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参考文献: |
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[1] 刘德林, 陶春虎, 刘昌奎, 等. 钢氢脆失效的新现象与新认识[J]. 失效分析与预防, 2015, 10(6): 376-383 LIU Delin, TAO Chunhu, LIU Changkui, et al. New phenomenons and knowledge of steel hydrogen embrittlement[J]. Failure Analysis and Prevention, 2015, 10(6): 376-383 (in Chinese)
[2] BELYTSCHKO T, BLACK T. Elastic crack growth in elements with minimal remeshing[J]. International Journal for Numerical Method in Engineering, 1999, 45: 601-620
[3] YANG L, YANG Y, ZHENG H. A phase field numerical manifold method for crack propagation in quasi-brittle materials[J]. Engineering Fracture Mechanics, 2021, 241: 107427
[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
[5] MARTÍNEZ-PAÑEDA E, GOLAHMAR A, NIORDSON C F. A phase field formulation for hydrogen assisted cracking[J]. Computer Methods in Applied Mechanics and Engineering,2018, 342: 742-761
[6] WU J Y, MANDAL T K, NGUYEN V P. A phase-field regularized cohesive zone model for hydrogen assisted cracking[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 358: 112614
[7] 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 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)
[8] MANDAL T K, NGUYEN V P, WU J Y. Comparative study of phase-field damage models for hydrogen assisted cracking[J]. Theoretical and Applied Fracture Mechanics, 2021, 111: 102840
[9] MIEHE C, WELSCHINGER F, HOFACKER M. Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations[J]. International Journal for Numerical Methods in Engineering, 2010, 83(10): 1273-1311
[10] PENG F, HUANG W, MA Y E, et al. Phase field modeling of brittle fracture based on the cell-based smooth FEM by considering spectral decomposition[J]. International Journal of Computational Methods, 2020, 18(2): 2050016
[11] MSEKH M A, SARGADO J M, JAMSHIDIAN M, et al. Abaqus implementation of phase-field model for brittle fracture[J]. Computational Materials Science,2015, 96: 472-484
[12] LIU G, LI Q, MSEKH M A, et al. Abaqus implementation of monolithic and staggered schemes for quasi-static and dynamic fracture phase-field model[J]. Computational Materials Science, 2016, 121: 35-47 |
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