nav emailalert searchbtn searchbox tablepage yinyongbenwen piczone journalimg journalInfo journalinfonormal searchdiv searchzone qikanlogo popupnotification paper paperNew
2018, 01, v.25 1-14
基于晶体塑性的难变形材料不均匀变形多尺度建模研究进展
基金项目(Foundation): 国家自然科学基金资助项目(51675433); 中央高校基本科研业务费专项资金资助(3102017jc03009)
邮箱(Email):
DOI:
发布时间: 2018-02-28
出版时间: 2018-02-28
移动端阅读
摘要:

分析并综述了不均匀变形预测中的晶体塑性模型与求解算法,论述了考虑多相材料非均质特征与晶界异质性的晶体塑性建模难点与方法;分析并综述了用于微观组织形态演化预测的元胞自动机建模方法,并论述了考虑不均匀变形与组织形态演化交互作用机制的晶体塑性与元胞自动机耦合建模的关键难点及其解决方法。进一步论述了基于宏观有限元、细观晶体塑性有限元与微观元胞自动机的多尺度全耦合建模方法及其在钛合金复杂隔框构件等温局部加载成形多尺度耦合响应规律预测中的成功应用。最后分析了多尺度建模仍存在的问题,并展望了多尺度建模的发展趋势。

Abstract:

Crystal plasticity modeling and its analysis algorithms for the heterogeneous deformation prediction were analyzed and reviewed,and the key difficulties and solutions of the crystal plasticity modeling considering the multi-phase heterogeneity characteristic and grain boundary inhomogeneity characteristic were discussed. The cellular automata modeling for the microstructure evolution was analyzed and reviewed,and the key difficulties and solutions of the coupled modeling between the crystal plasticity and cellular automata considering the interaction between heterogeneous deformation and microstructural evolution were demonstrated. Moreover,thoughts of the coupling multi-scale models based on macroscale finite element method,mesoscale crystal plasticity finite element method and microscale cellular automata,and applications of these models on the multi-scale response prediction of the forming of titanium complex bulkhead components were discussed. Finally,the existing problems in current multi-scale model was analyzed,and an outlook of multi-scale modeling was given.

参考文献

[1]杨合,孙志超,詹梅,等.局部加载控制不均匀变形与精确塑性成形[M].北京:科学出版社,2014.YANG He,SUN Zhichao,Zhan Mei,et al.Control of heterogeneous deformation by locally loading and theories related to precision plastic forming[M].Beijing:Science Press,2014.

[2]WU C,YANG H,LI H W.Modeling of discontinuous dynamic recrystallization of a near-alpha titanium alloy IMI834 during isothermal hot compression by combining a cellular automaton model with a crystal plasticity finite element method[J].Computational Materials Science,2013,79:944-959.

[3]GRUJICIC M,BATCHU S.Crystal plasticity analysis of earing in deep-drawn OFHC copper cups[J].Journal of Materials Science,2002,37(4):753-764.

[4]KALIDINDI S R,BRONKHORST C A,ANAND L.Crystallographic texture evolution in bulk deformation processing of FCC metals[J].Journal of the Mechanics and Physics of Solids,1992,40(3):537-569.

[5]DUMOULIN S,HOPPERSTAD O,BERSTAD T.Investigation of integration algorithms for rate-dependent crystal plasticity using explicit finite element codes[J].Computational Materials Science,2009,46(4):785-799.

[6]LI H W,SUN X X,YANG H.A three-dimensional cellular automata-crystal plasticity finite element model for predicting the multiscale interaction among heterogeneous deformation,DRX microstructural evolution and mechanical responses in titanium alloys[J].International Journal of Plasticity,2016,87:154-180.

[7]ROSSITER J,BRAHME A,SIMHA M H,et al.A new crystal plasticity scheme for explicit time integration codes to simulate deformation in 3D microstructures:Effects of strain path,strain rate and thermal softening on localized deformation in the aluminum alloy 5754 during simple shear[J].International Journal of Plasticity,2010,26(12):1702-1725.

[8]LI H W,YANG H.A computational efficient and stable model of rate dependent crystal plasticity[J].Steel Research International,2011,SE(1):814-818.

[9]HAREWOOD F J,MCHUGH P E.Comparison of the implicit and explicit finite element methods using crystal plasticity[J].Computational Materials Science,2007,39(2):481-494.

[10]LI H W,YANG H,SUN Z C.Implicit algorithm and numeralisation of microscopic constitutive relations[J].Materials Science and Technology,2006,22(12):1401-1408.

[11]LI H W,YANG H,SUN Z C.A robust integration algorithm for implementing rate dependent crystal plasticity into explicit finite element method[J].International Journal of Plasticity,2008,24(2):267-288.

[12]LI H W,CHEN S S,YANG H.A new quantitative relation between deformation textures and corresponding mechanical properties of FCC metals[J].Chinese Science Bulletin,2014,59(10):1049-1056.

[13]LI H W,FENG L,YANG H.Deformation mechanism of cold ring rolling in view of texture evolution predicted by a newly proposed polycrystal plasticity model[J].Transactions of Nonferrous Metals Society of China,2013,23(12):3729-3738.

[14]HOUTTE P V.Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning[J].Acta Metall,1978,26(4):591-604.

[15]LEBENSOHN R A,TOMEC N.A self-consistent viscoplastic model:prediction of rolling textures of anisotropic polycrystals[J].Materials Science and Engineering:A,1994,175(1):71-82.

[16]LI H W,WU C,YANG H.Crystal plasticity modeling of the dynamic recrystallization of two-phase titanium alloys during isothermal processing[J].International Journal of Plasticity,2013,51:271-291.

[17]DING R,GUO Z X.Microstructural modelling of dynamic recrystallisation using an extended cellular automaton approach[J].Computational Materials Science,2002,23(1-4):209-218.

[18]WANG Y,RAABE D,KLuBER C,et al.Orientation dependence of nanoindentation pile-up patterns and of nanoindentation microtextures in copper single crystals[J].Acta Materialia,2004,52(8):2229-2238.

[19]RAABE D,MA D,ROTERS F.Effects of initial orientation,sample geometry and friction on anisotropy and crystallographic orientation changes in single crystal microcompression deformation:A crystal plasticity finite element study[J].Acta Materialia,2007,55(13):4567-4583.

[20]MA A,ROTERS F,RAABE D.A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations[J].Acta Materialia,2006,54(8):2169-2179.

[21]EVERS L P,BREKELMANS W A M,GEERS M G D.Non-local crystal plasticity model with intrinsic SSD and GND effects[J].Journal of the Mechanics&Physics of Solids,2004,52(10):2379-2401.

[22]ARSENLIS A,PARKS D M.Modeling the evolution of crystallographic dislocation density in crystal plasticity[J].Journal of the Mechanics&Physics of Solids,2002,50(9):1979-2009.

[23]WU Y Q,ZHANG K S.Crack propagation in polycrystalline elastic-viscoplastic materials using cohesive zone models[J].Applied Mathematics and Mechanics,2006,27(4):509-518.

[24]XU Q,LU Z X.An elastic-plastic cohesive zone model for metalceramic interfaces at;finite deformations[J].International Journal of Plasticity,2013,41(2):147-164.

[25]CHEN S S,LI H W,YANG H.Elastic-viscoplastic constitutive model of grain boundary deformation and damage[J].Journal of Plasticity Engineering,2014,21(2):13-19.

[26]LI H W,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.

[27]JANSSENS K G F.Random grid,three-dimensional,space-time coupled cellular automata for the simulation of recrystallization and grain growth[J].Modelling and Simulation in Materials Science and Engineering,2003,11(2):157.

[28]FLACHE A,HEGSELMANN R.Do irregular grids make a difference?Relaxing the spatial regularity assumption in cellular models of social dynamics[J].Journal of Artificial Societies and Social Simulation,2001,4(4):6.

[29]CHEN F,CUI Z,LIU J,et al.Mesoscale simulation of the hightemperature austenitizing and dynamic recrystallization by coupling a cellular automaton with a topology deformation technique[J].Materials Science and Engineering:A,2010,527(21):5539-5549.

[30]WU C,YANG H,LI H W,et al.Static coarsening of titanium alloys in single field by cellular automaton model considering solute drag and anisotropic mobility of grain boundaries[J].Chinese Science Bulletin,2012,57(13):1473-1482.

[31]HESSELBARTH H W,GOBEL I R.Simulation of recrystallization by cellular automata[J].Acta Metallurgica Materialia,1991,39(9):2135-2143.

[32]GOETZ R L,SEETHARAMAN V.Static recrystallization kinetics with homogeneous and heterogeneous nucleation using a cellular automata model[J].Metallurgical&Materials Transactions A,1998,29(9):2307-2321.

[33]MARX V,REHER F R,GOTTSTEIN G.Simulation of primary recrystallization using a modified three-dimensional cellular automaton[J].Acta Materialia,1999,47(4):1219-1230.

[34]LIU Y,BAUDIN T,PENELLE R.Simulation of normal grain growth by cellular automata[J].Scripta Materialia,1996,34(11):1679-1683.

[35]SVYETLICHNYY D S.Modeling of grain refinement by cellular automata[J].Computational Materials Science,2013,77:408-416.

[36]ZHENG C W,XIAO N M,HAO L H,et al.Numerical simulation of dynamic strain-induced austenite-ferrite transformation in a low carbon steel[J].Acta Materialia,2009,57(10):2956-2968.

[37]HALDER C,MADEJ L,PIETRZYK M.Discrete micro-scale cellular automata model for modelling phase transformation during heating of dual phase steels[J].Archives of Civil&Mechanical Engineering,2014,14(1):96-103.

[38]GOETZ R L,SEETHARAMAN V.Modeling dynamic recrystallization using cellular automata[J].Scripta Materialia,1998,38(3):405-413.

[39]DING R,GUO Z X.Coupled quantitative simulation of microstructural evolution and plastic flow during dynamic recrystallization[J].Acta Materialia,2001,49(16):3163-3175.

[40]KUGLER G,TURK R.Modeling the dynamic recrystallization under multi-stage hot deformation[J].Acta Materialia,2004,52(15):4659-4668.

[41]CHEN F,QI K,CUI Z S,et al.Modeling the dynamic recrystallization in austenitic stainless steel using cellular automaton method[J].Computational Materials Science,2014,83:331-340.

[42]RAABE D.Disrete mesoscale simulation of recrystallization microstructure and texture using a stochastic cellular automation approach[J].Materials Science Forum,1998,273-275(2):169-174.

[43]LAN Y J,XIAO N M,LI D Z,et al.Mesoscale simulation of deformed austenite decomposition into ferrite by coupling a cellular automaton method with a crystal plasticity finite element model[J].Acta Materialia,2005,53(4):991-1003.

[44]POPOVA E,STARASELSKI Y,BRAHME A,et al.Coupled crystal plasticity-probabilistic cellular automata approach to model dynamic recrystallization in magnesium alloys[J].International Journal of Plasticity,2015,66:85-102.

[45]WU C,YANG H,LI H W.Modeling of static coarsening of twophase titanium alloy in theα+βtwo-phase region at different temperature by a cellular automata method[J].Chinese Science Bulletin,2013,58(24):3023-3032.

[46]吉喆.基于建模的TA15钛合金组织—性能定量关系研究[D].西安:西北工业大学,2015.JI Zhe.Study on the quantitative relationship between microstructure and properties of TA15 titanium alloy by microstructure-based finite element model[D].Xi'an:Northwestern Polytechnical University,2015.

[47]JI Z,YANG H,LI H W.Contributions of microstructural features to the integrated hardness of TA15 titanium alloy[J].Materials Science&Engineering A,2015,628:358-365.

[48]ZHANG D W,YANG H,SUN Z C,et al.Deformation behavior of variable-thickness region of billet in rib-web component isothermal local loading process[J].International Journal of Advanced Manufacturing Technology,2012,63(1-4):1-12.

[49]JI Z,YANG H,LI H W.Evolution of two types ofαplates in trimodal microstru-cture of TA15 alloy under varying processing conditions[J].Rare Metal Materials and Engineering,2015,44(3):527-531.

[50]ZHANG X,OSKAY C.Eigenstrain based reduced order homogenization for polycrystalline materials[J].Computer Methods in Applied Mechanics and Engineering,2015,297:408-436.

[51]TRAXL R,LACKNER R.Multi-level homogenization of strength properties of hierarchical-organized matrix-inclusion materials[J].Mechanics of Materials,2015,89:98-118.

[52]ZHOU X Y,GOSLING P D,PEARCE C J,et al.Perturbationbased stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties[J].Computer Methods in Applied Mechanics and Engineering,2016,300:84-105.

[53]WU L,NOELS L,ADAM L,et al.A multiscale mean-field homogenization method for fiber-reinforced composites with gradient-enhanced damage models[J].Computer Methods in Applied Mechanics&Engineering,2012,s233-236(4):164-179.

[54]JIA J,CHENG W,LONG K,et al.Hierarchical design of structures and multiphase material cells[J].Computers&Structures,2016,165:136-144.

基本信息:

中图分类号:TB30

引用信息:

[1]詹梅,李宏伟,孙新新,等.基于晶体塑性的难变形材料不均匀变形多尺度建模研究进展[J].塑性工程学报,2018,25(01):1-14.

基金信息:

国家自然科学基金资助项目(51675433); 中央高校基本科研业务费专项资金资助(3102017jc03009)

发布时间:

2018-02-28

出版时间:

2018-02-28

引用

GB/T 7714-2015 格式引文
MLA格式引文
APA格式引文
检 索 高级检索