晶体塑性有限元分析开孔对多晶板材力学性能的影响

doi:10.12066/j.issn.1007-2861.2159

上海大学学报(自然科学版) ›› 2021, Vol. 27 ›› Issue (3): 583-593.doi: 10.12066/j.issn.1007-2861.2159

晶体塑性有限元分析开孔对多晶板材力学性能的影响

胡晓郁¹, 都亚鹏¹, 楚海建¹^,²()

1.上海大学上海市应用数学和力学研究所, 上海 200072
2.上海大学理学院, 上海 200444

收稿日期:2019-05-08 出版日期:2021-06-30 发布日期:2021-06-27
通讯作者: 楚海建 E-mail:hjchu@shu.edu.cn
作者简介:楚海建(1972—), 男, 教授, 博士生导师, 博士, 研究方向为晶体塑性力学. E-mail: hjchu@shu.edu.cn
基金资助:
国家自然科学基金资助项目(11872237);上海市自然科学基金资助项目(18ZR1414600)

Effect of hole opening on mechanical properties of polycrystalline plate based on crystal plastic finite element

HU Xiaoyu¹, DU Yapeng¹, CHU Haijian¹^,²()

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
2. College of Sciences, Shanghai University, Shanghai 200444, China

Received:2019-05-08 Online:2021-06-30 Published:2021-06-27
Contact: CHU Haijian E-mail:hjchu@shu.edu.cn

摘要/Abstract

摘要：

基于 ABAQUS 子程序 VUMAT 二次开发平台, 将位错和孪晶的演化过程引入晶体塑性有限元方法(crystal plastic finite element method, CPFEM)中, 实现了多晶塑性材料力学行为的有限元模拟, 并通过试验和模拟结果的对比, 验证了所提出方法和二次开发程序的有效性. 应用含孪晶效应的晶体塑性有限元方法模拟分析了孔洞对于板材开孔问题的影响, 结果表明: ① 当孔径小于板宽一半时, 强度损失采用线性近似估算值是偏于安全的, 而超过板宽一半时, 不宜采用线性估算值; ② 当孔距较小时, 孔径排布方式对开孔板材的韧性以及极限承载力有重要影响, 排布方式可分弱影响区、强影响区和过渡区 3 种模式. 对于承受单向拉伸荷载的板材, 开孔时应选择沿轴线排布的方式.

关键词: 晶体塑性有限元方法, 多孔板材, 位错演化, 孪晶机制

Abstract:

Based on the secondary development platform of ABAQUS subroutine VUMAT, the dislocation evolution and twinning mechanism have been incorporated into the crystal plastic finite element method (CPFEM), which is used to investigate the mechanical behavior of polycrystalline plastic materials. The validity of the secondary development program is verified by comparing the experimental and simulation results. The CPFEM with its twinning effect simulates and analyzes the effect of holes on the mechanical properties of the plate. Furthermore, linear approximation can be used safely when the aperture is less than half of the plate width; however, it is not suitable for larger apertures. When the spacing between two hole openings is small, their positional arrangement has a significant impact on the toughness and ultimate stress of the plate; this impact can be divided into three modes: weak influence zone, strong influence zone, and transition zone. For the plate with double holes subjected to a tensile load, an arrangement along the axis is the most optimum.

Key words: crystal plastic finite element method, porous plate, dislocation evolution, twinning mechanism

中图分类号:

TG302

胡晓郁, 都亚鹏, 楚海建. 晶体塑性有限元分析开孔对多晶板材力学性能的影响[J]. 上海大学学报(自然科学版), 2021, 27(3): 583-593.

HU Xiaoyu, DU Yapeng, CHU Haijian. Effect of hole opening on mechanical properties of polycrystalline plate based on crystal plastic finite element[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(3): 583-593.

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参考文献 30

[1]	Nakamachi E, Hiraiwa K, Morimoto H, et al. Elastic/crystalline viscoplastic finite element analyses of single- and poly-crystal sheet deformations and their experimental verification[J]. International Journal of Plasticity, 2000,16(12):1419-1441. doi: 10.1016/S0749-6419(99)00092-3
[2]	Wu P D, Macewen S R, Lloyd D J, et al. On pre-straining and the evolution of material anisotropy in sheet metals[J]. International Journal of Plasticity, 2005,21(4):723-739. doi: 10.1016/j.ijplas.2004.05.007
[3]	冯露, 张克实, 张光. 延性单晶非均匀变形的三维有限元模拟[J]. 应用力学学报, 2002,19(4):5-9.
	Feng L, Zhang K S, Zhang G. Three dimensional FEA simulation of nonuniform deformation in ductile single crystals[J]. Chinese Journal of Applied Mechanics, 2002,19(4):5-9.
[4]	卢磊, 尤泽升. 纳米孪晶金属塑性变形机制[J]. 金属学报, 2014,50(2):129-136.
	Lu L, You Z S. Plastic deformation mechanisms in nanotwinned metals[J]. Acta Metallurgica Sinica, 2014,50(2):129-136.
[5]	王晓东, 廖新生, 黄宝旭, 等. 孪晶诱发塑性钢中的马氏体相变及高塑性机制研究[C]// 全国固态相变、凝固及应用学术会议. 2008: 13-15.
[6]	Shu J Y. Scale-dependent deformation of porous single crystals[J]. International Journal of Plasticity, 1998,14(10):1085-1107. doi: 10.1016/S0749-6419(98)00048-5
[7]	Orsini V C, Zikry M A. Void growth and interaction in crystalline materials[J]. International Journal of Plasticity, 2001,17(10):1393-1417. doi: 10.1016/S0749-6419(00)00091-7
[8]	O'Regan T L, Quinn D F, Howe M A, et al. Void growth simulations in single crystals[J]. Computational Mechanics, 1997,20(1):115-121. doi: 10.1007/s004660050226
[9]	王秀丽, 沈世钊, 殷占忠, 等. 钢框架梁腹板开孔型连接节点力学性能试验研究[J]. 工程力学, 2006,23(6):65-76.
	Wang X L, Shen S Z, Yin Z Z, et al. Experimental research on mechanical behavior of beam-column connections with openings on beam webs in steel frames[J]. Engineering Mechanics, 2006,23(6):65-76.
[10]	全栋梁, 刘松龄, 李江海, 等. 多孔层板冷却有效性的研究[J]. 航空动力学报, 2004,19(4):520-524.
	Quan D L, Liu S L, Li J H, et al. Experimental investigation of cooling effectiveness of laminate porous plates[J]. Journal of Aerospace Power, 2004,19(4):520-524.
[11]	周艳秋. 强力骨架梁腹板开孔有限元分析[J]. 船舶与海洋工程, 2009,79(3):21-25.
	Zhou Y Q. Finite element analysis of holes in webs of reinforced frame beam[J]. Naval Architecture and Ocean Engineering, 2009,79(3):21-25.
[12]	Li H, Sun X, Yang H. A multiscale three-dimensional cellular automata-crystal plasticity finite element model for predicting the interaction among heterogeneous deformation, DRX microstructural evolution and mechanical responses in titanium alloys[J]. International Journal of Plasticity, 2016,87:154-180. doi: 10.1016/j.ijplas.2016.09.008
[13]	Li H, Huang D, Zhan M, et al. High-temperature behaviors of grain boundary in titanium alloy: modeling and application to microcrack prediction[J]. Computational Materials Science, 2017,140:159-170. doi: 10.1016/j.commatsci.2017.08.035
[14]	Hill R, Rice J R. Constitutive analysis of elastic-plastic crystals at arbitrary strain[J]. Journal of the Mechanics and Physics of Solids, 1972,20(6):401-413. doi: 10.1016/0022-5096(72)90017-8
[15]	Hill R. Generalized constitutive relations for incremental deformation of metal crystals by multislip[J]. Journal of the Mechanics and Physics of Solids, 1966,14(2):95-102. doi: 10.1016/0022-5096(66)90040-8
[16]	Asaro R J, Rice J R. Strain localization in ductile single crystals[J]. Journal of the Mechanics and Physics of Solids, 1977,25(5):309-338. doi: 10.1016/0022-5096(77)90001-1
[17]	Peirce D, Asaro R J, Needleman A. An analysis of nonuniform and localized deformation in ductile single crystals[J]. Acta Metallurgica, 1982,30(6):1087-1119. doi: 10.1016/0001-6160(82)90005-0
[18]	Hutchinson J W. Bounds and self-consistent estimates for creep of polycrystalline materials[J]. Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, 1976,348(1652):101-127.
[19]	Rice J R. Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity[J]. Journal of the Mechanics and Physics of Solids, 1971,19(6):433-455. doi: 10.1016/0022-5096(71)90010-X
[20]	Peirce D, Asaro R J, Needleman A. Material rate dependence and localized deformation in crystalline solids[J]. Acta Metallurgica, 1983,31(12):1951-1976. doi: 10.1016/0001-6160(83)90014-7
[21]	Cheong K S, Busso E P. Discrete dislocation density modelling of single phase FCC polycrystal aggregates[J]. Acta Materialia, 2004,52(19):5665-5675. doi: 10.1016/j.actamat.2004.08.044
[22]	Mecking H, Kocks U F. Kinetics of flow and strain-hardening[J]. Acta Metallurgica, 1981,29(11):1865-1875. doi: 10.1016/0001-6160(81)90112-7
[23]	Roters F, Eisenlohr P, Hantcherli L, et al. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications[J]. Acta Materialia, 2010,58(4):1152-1211. doi: 10.1016/j.actamat.2009.10.058
[24]	Kalidindi S R. Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals[J]. International Journal of Plasticity, 2001,17:837-860. doi: 10.1016/S0749-6419(00)00071-1
[25]	Ardeljan M, Beyerlein I J, Knezevic M. A dislocation density based crystal plasticity finite element model: application to a two-phase polycrystalline HCP/BCC composites[J]. Journal of the Mechanics and Physics of Solids, 2014,66(1):16-31. doi: 10.1016/j.jmps.2014.01.006
[26]	Krishna S, Zamiri A, De S. Dislocation and defect density-based micromechanical modeling of the mechanical behavior of fcc metals under neutron irradiation[J]. Philosophical Magazine, 2010,90(30):4013-4025. doi: 10.1080/14786435.2010.502150
[27]	Chen L R, Xiao X Z, Yu L, et al. Texture evolution and mechanical behaviour of irradiated face-centred cubic metals[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018,474(2210):20170604. doi: 10.1098/rspa.2017.0604
[28]	Barrett T J, Savage D J, Ardeljan M, et al. An automated procedure for geometry creation and finite element mesh generation: application to explicit grain structure models and machining distortion[J]. Computational Materials Science, 2018,141:269-281. doi: 10.1016/j.commatsci.2017.09.048
[29]	Quey R, Dawson P R, Barbe F. Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing[J]. Computer Methods in Applied Mechanics and Engineering, 2011,200:1729-1745. doi: 10.1016/j.cma.2011.01.002
[30]	Knezevic M, Drach B, Ardeljan M, et al. Three dimensional predictions of grain scale plasticity and grain boundaries using crystal plasticity finite element models[J]. Computer Methods in Applied Mechanics and Engineering, 2014,277:239-259. doi: 10.1016/j.cma.2014.05.003

晶体塑性有限元分析开孔对多晶板材力学性能的影响

Effect of hole opening on mechanical properties of polycrystalline plate based on crystal plastic finite element

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