Volume 36 Issue 6
Dec 2022
Turn off MathJax
Article Contents
YE Changqing, CHEN Ran, LIU Guisen, LIU Jingnan, HU Jianbo, YU Yuying, WANG Dong, CHEN Kaiguo, SHEN Yao. Crystal Plasticity Finite Element Simulation of Polycrystal Aluminum under Shock Loading[J]. Chinese Journal of High Pressure Physics, 2022, 36(6): 064203. doi: 10.11858/gywlxb.20220605
Citation: YE Changqing, CHEN Ran, LIU Guisen, LIU Jingnan, HU Jianbo, YU Yuying, WANG Dong, CHEN Kaiguo, SHEN Yao. Crystal Plasticity Finite Element Simulation of Polycrystal Aluminum under Shock Loading[J]. Chinese Journal of High Pressure Physics, 2022, 36(6): 064203. doi: 10.11858/gywlxb.20220605

Crystal Plasticity Finite Element Simulation of Polycrystal Aluminum under Shock Loading

doi: 10.11858/gywlxb.20220605
  • Received Date: 09 Jun 2022
  • Rev Recd Date: 26 Jun 2022
  • Available Online: 29 Nov 2022
  • Issue Publish Date: 05 Dec 2022
  • In polycrystalline materials, the grain boundaries between grains with different orientations have a great influence on the dynamic response of material under shock loading. On the basis of the single crystal plasticity model, a polycrystal plasticity model containing grain boundary obstacle, geometrically necessary dislocations (GND) and back-stress is established by considering the microscopic mechanism of the interaction between grain boundaries and dislocations. Based on this model, the mechanical response of polycrystalline aluminum with Voronoi geometry under shock loading was studied through simulations. The results show that: (1) the grain boundary elements after the shock loading have a very high residual shear stress, while the shear stress of the element within the grain tends to be zero; (2) a large plastic deformation gradient is found near the grain boundary, resulting in a large number of GND and back stress distributed along the grain boundary; (3) the grain boundary obstacle caused by the slip discontinuity is the main factor causing the large amount of residual shear stress, while the GND and back stress have little influence on the extent of shear stress relaxation.

     

  • loading
  • [1]
    ZHAKHOVSKY V V, BUDZEVICH M M, INOGAMOV N A, et al. Two-zone elastic-plastic single shock waves in solids [J]. Physical Review Letters, 2011, 107(13): 135502. doi: 10.1103/PhysRevLett.107.135502
    [2]
    ZARETSKY E B, KANEL G I. Tantalum and vanadium response to shock-wave loading at normal and elevated temperatures. non-monotonous decay of the elastic wave in vanadium [J]. Journal of Applied Physics, 2014, 115(24): 243502. doi: 10.1063/1.4885047
    [3]
    KOSITSKI R, STEINBERGER D, SANDFELD S, et al. Shear relaxation behind the shock front in <110> molybdenum: from the atomic scale to continuous dislocation fields [J]. Computational Materials Science, 2018, 149: 125–133. doi: 10.1016/j.commatsci.2018.02.058
    [4]
    AUSTIN R A. Elastic precursor wave decay in shock-compressed aluminum over a wide range of temperature [J]. Journal of Applied Physics, 2018, 123(3): 035103. doi: 10.1063/1.5008280
    [5]
    刘静楠, 叶常青, 陈开果, 等. <100>LiF高速冲击变形过程的晶体塑性有限元模拟 [J]. 高压物理学报, 2019, 33(1): 014101. doi: 10.11858/gywlxb.20180551

    LIU J N, YE C Q, CHEN K G, et al. Crystal plasticity finite element simulation of high-rate shock deformation process of <100> LiF [J]. Chinese Journal of High Pressure Physics, 2019, 33(1): 014101. doi: 10.11858/gywlxb.20180551
    [6]
    GURRUTXAGA-LERMA B, BALINT D S, DINI D, et al. Attenuation of the dynamic yield point of shocked aluminum using elastodynamic simulations of dislocation dynamics [J]. Physical Review Letters, 2015, 114(17): 174301. doi: 10.1103/PhysRevLett.114.174301
    [7]
    刘静楠, 叶常青, 刘桂森, 等. 高温、高压、高应变速率动态过程晶体塑性有限元理论模型及其应用 [J]. 高压物理学报, 2020, 34(3): 030102. doi: 10.11858/gywlxb.20190874

    LIU J N, YE C Q, LIU G S, et al. Crystal plasticity finite element theoretical models and applications for high temperature, high pressure and high strain-rate dynamic process [J]. Chinese Journal of High Pressure Physics, 2020, 34(3): 030102. doi: 10.11858/gywlxb.20190874
    [8]
    郑松林. 晶体塑性有限元在材料动态响应研究中的应用进展 [J]. 高压物理学报, 2019, 33(3): 030108. doi: 10.11858/gywlxb.20190725

    ZHENG S L. Advances in the study of dynamic response of crystalline materials by crystal plasticity finite element modeling [J]. Chinese Journal of High Pressure Physics, 2019, 33(3): 030108. doi: 10.11858/gywlxb.20190725
    [9]
    LUSCHER D J, ADDESSIO F L, CAWKWELL M J, et al. A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine [J]. Journal of the Mechanics and Physics of Solids, 2017, 98: 63–86. doi: 10.1016/j.jmps.2016.09.005
    [10]
    LLOYD J T, CLAYTON J D, BECKER R, et al. Simulation of shock wave propagation in single crystal and polycrystalline aluminum [J]. International Journal of Plasticity, 2014, 60: 118–144. doi: 10.1016/j.ijplas.2014.04.012
    [11]
    AUSTIN R A, MCDOWELL D L. A dislocation-based constitutive model for viscoplastic deformation of fcc metals at very high strain rates [J]. International Journal of Plasticity, 2011, 27(1): 1–24. doi: 10.1016/j.ijplas.2010.03.002
    [12]
    MANDAL A, GUPTA Y M. Elastic-plastic deformation of molybdenum single crystals shocked along [100] [J]. Journal of Applied Physics, 2017, 121(4): 045903. doi: 10.1063/1.4974475
    [13]
    BECKER R. Effects of crystal plasticity on materials loaded at high pressures and strain rates [J]. International Journal of Plasticity, 2004, 20(11): 1983–2006. doi: 10.1016/j.ijplas.2003.09.002
    [14]
    VOGLER T J, CLAYTON J D. Heterogeneous deformation and spall of an extruded tungsten alloy: plate impact experiments and crystal plasticity modeling [J]. Journal of the Mechanics and Physics of Solids, 2008, 56(2): 297–335. doi: 10.1016/j.jmps.2007.06.013
    [15]
    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
    [16]
    ASARO R J, NEEDLEMAN A. Overview No. 42 texture development and strain hardening in rate dependent polycrystals [J]. Acta Metallurgica, 1985, 33(6): 923–953. doi: 10.1016/0001-6160(85)90188-9
    [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]
    HUANG Y. A user-material subroutine incorporating single crystal plasticity in the ABAQUS finite element program [M]. Cambridge: Harvard University, 1991.
    [19]
    LUSCHER D J, BRONKHORST C A, ALLEMAN C N, et al. A model for finite-deformation nonlinear thermomechanical response of single crystal copper under shock conditions [J]. Journal of the Mechanics and Physics of Solids, 2013, 61(9): 1877–1894. doi: 10.1016/j.jmps.2013.05.002
    [20]
    TYUTEREV V G, VAST N. Murnaghan’s equation of state for the electronic ground state energy [J]. Computational Materials Science, 2006, 38(2): 350–353. doi: 10.1016/j.commatsci.2005.08.012
    [21]
    SHYUE K M. A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Grüneisen equation of state [J]. Journal of Computational Physics, 2001, 171(2): 678–707. doi: 10.1006/jcph.2001.6801
    [22]
    HANSEN B L, BEYERLEIN I J, BRONKHORST C A, et al. A dislocation-based multi-rate single crystal plasticity model [J]. International Journal of Plasticity, 2013, 44: 129–146. doi: 10.1016/j.ijplas.2012.12.006
    [23]
    SHAHBA A, GHOSH S. Crystal plasticity FE modeling of Ti alloys for a range of strain-rates. part Ⅰ: a unified constitutive model and flow rule [J]. International Journal of Plasticity, 2016, 87: 48–68. doi: 10.1016/j.ijplas.2016.09.002
    [24]
    KUKSIN A Y, YANILKIN A V. Atomistic simulation of the motion of dislocations in metals under phonon drag conditions [J]. Physics of the Solid State, 2013, 55(5): 1010–1019. doi: 10.1134/S1063783413050193
    [25]
    BLASCHKE D N, BURAKOVSKY L, PRESTON D L. On the temperature and density dependence of dislocation drag from phonon wind [J]. Journal of Applied Physics, 2021, 130(1): 015901. doi: 10.1063/5.0054536
    [26]
    KANEL G I, RAZORENOV S V, BAUMUNG K, et al. Dynamic yield and tensile strength of aluminum single crystals at temperatures up to the melting point [J]. Journal of Applied Physics, 2001, 90(1): 136–143. doi: 10.1063/1.1374478
    [27]
    CHOUDHURI D, GUPTA Y M. Shock compression of aluminum single crystals to 70 GPa: role of crystalline anisotropy [J]. Journal of Applied Physics, 2013, 114(15): 153504. doi: 10.1063/1.4824825
    [28]
    王礼立, 胡时胜, 杨黎明, 等. 材料动力学 [M]. 合肥: 中国科学技术大学出版社, 2017.
    [29]
    胡建波, 俞宇颖, 谭华, 等. 铝的动态屈服强度测量 [C]//第四届全国爆炸力学实验技术学术会议论文集. 武夷山: 安徽省力学学会, 2006.
    [30]
    ANDERSSON S, BACKSTROM G. Thermal conductivity and heat capacity of single-crystal LiF and CaF2 under hydrostatic pressure [J]. Journal of Physics C: Solid State Physics, 1987, 20(35): 5951–5952. doi: 10.1088/0022-3719/20/35/011
    [31]
    MILLER R A, SMITH C S. Pressure derivatives of the elastic constants of LiF and NaF [J]. Journal of Physics and Chemistry of Solids, 1964, 25(12): 1279–1292. doi: 10.1016/0022-3697(64)90043-5
    [32]
    RODRÍGUEZ-MARTÍNEZ J A, RODRÍGUEZ-MILLÁN M, RUSINEK A, et al. A dislocation-based constitutive description for modeling the behavior of fcc metals within wide ranges of strain rate and temperature [J]. Mechanics of Materials, 2011, 43(12): 901–912. doi: 10.1016/j.mechmat.2011.09.008
    [33]
    TALLON J L, WOLFENDEN A. Temperature dependence of the elastic constants of aluminum [J]. Journal of Physics and Chemistry of Solids, 1979, 40(11): 831–837. doi: 10.1016/0022-3697(79)90037-4
    [34]
    THOMAS JR J F. Third-order elastic constants of aluminum [J]. Physical Review, 1968, 175(3): 955–962. doi: 10.1103/PhysRev.175.955
    [35]
    NIX F C, MACNAIR D. The thermal expansion of pure metals: copper, gold, aluminum, nickel, and iron [J]. Physical Review, 1941, 60(8): 597–605. doi: 10.1103/PhysRev.60.597
    [36]
    RAVAJI B, JOSHI S P. A crystal plasticity investigation of grain size-texture interaction in magnesium alloys [J]. Acta Materialia, 2021, 208: 116743. doi: 10.1016/j.actamat.2021.116743
    [37]
    刘晶, 刘韧, 季忠, 等. 基于晶粒晶界有限元的激光微冲击成形数值分析 [J]. 中国激光, 2010, 37(1): 291–295. doi: 10.3788/CJL20103701.0291

    LIU J, LIU R, JI Z, et al. Numerical analysis of micro laser peen forming based on grain and grain boundary element [J]. Chinese Journal of Lasers, 2010, 37(1): 291–295. doi: 10.3788/CJL20103701.0291
    [38]
    LIM H, LEE M G, KIM J H, et al. Simulation of polycrystal deformation with grain and grain boundary effects [J]. International Journal of Plasticity, 2011, 27(9): 1328–1354. doi: 10.1016/j.ijplas.2011.03.001
    [39]
    SHEN Z, WAGONER R H, CLARK W A T. Dislocation pile-up and grain boundary interactions in 304 stainless steel [J]. Scripta Metallurgica, 1986, 20(6): 921–926. doi: 10.1016/0036-9748(86)90467-9
    [40]
    YUAN W, PANIGRAHI S K, SU J Q, et al. Influence of grain size and texture on Hall-Petch relationship for a magnesium alloy [J]. Scripta Materialia, 2011, 65(11): 994–997. doi: 10.1016/j.scriptamat.2011.08.028
    [41]
    ZHOU G, JEONG W, HOMER E R, et al. A predictive strain-gradient model with no undetermined constants or length scales [J]. Journal of the Mechanics and Physics of Solids, 2020, 145: 104178. doi: 10.1016/j.jmps.2020.104178
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(8)  / Tables(2)

    Article Metrics

    Article views(362) PDF downloads(84) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return