塑性工程学报

2022, 10, v.29 32-42

金属材料各向异性本构模型研究进展

基金项目(Foundation): 国家自然科学基金资助项目(51771166); 河北省自然科学基金资助项目(E2019203452,E2021203011); 河北省人社厅人才工程(A202002002); 河北省教育厅重点项目(ZD2021107); 中央引导地方科技发展项目(216Z1001G; 206Z1601G); 燕山大学基础创新科研培育项目(2021LGZD002); 华中科技大学材料成形与模具技术国家重点实验室开放基金(P2023-004)

邮箱(Email): baodong.shi@ysu.edu.cn;

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发布时间： 2022-10-26

出版时间： 2022-10-26

网络发布时间： 2022-10-26

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摘要：

在金属结构材料塑性成形过程中，织构和显微组织造成宏观各向异性和拉-压非对称性，进而影响材料后续的变形加工能力。由于传统屈服面形状恒定，von Mises等各向同性屈服函数和硬化模型无法准确表征各向异性行为。为此引入畸变硬化机制，使得应力空间中屈服面的形状随塑性变形而变化，从而揭示织构材料的各向异性行为。然而，由于模型本身缺陷以及证明的繁琐，这类本构模型往往忽略热力学自洽性。以屈服函数和硬化模型为研究对象，综述了不同晶体结构金属材料的各向异性屈服函数及相关应用，在硬化模型部分重点介绍了符合热力学自洽性的畸变硬化本构模型。最后，指出了各向异性本构模型未来的发展方向。

关键词： 各向异性; 本构模型; 屈服函数; 畸变硬化模型; 热力学自洽性;

Abstract：

During the plastic forming of metal structural materials, the macroscopic anisotropy and tensile-compression asymmetry, which consequently affect the subsequent deformation processing capability of the material. Due to the constant shape of traditional yield surface, the anisotropic behavior such as von Mises etc cannot be characterized by isotropic yield functions and hardening models accurately. The distortional hardening mechanism is introduced to make the shape of the yield surface in the stress space changes with plastic deformation. Thus, the anisotropic behavior of materials with textures is revealed. However, due to the defects of the model itself and the tediousness of the proof, the thermodynamic self-consistency of such constitutive models is often ignored. Based on the yield functions and hardening models as the research object, the anisotropic yield functions of metallic materials with different crystal structures and related applications were reviewed. In the section of hardening models, the constitutive model of distortional hardening consistent with thermodynamic self-consistency was highlighted. Finally, the future development direction of anisotropic constitutive model was pointed out.

KeyWords： anisotropy; constitutive model; yield function; distortional hardening model; thermodynamic self-consistency;

参考文献

[1] NOMAN M,CLAUSMEYER T,BARTHEL C,et al.Experimental characterization and modeling of the hardening behavior of the sheet steel LH800 [J].Materials Science and Engineering:A,2010,527(10-11):2515-2526.

[2] MARCINIAK Z,DUNCAN J L,HU S J.Mechanics of sheet metals forming [M].London:Butterworth-Heinemann,2002.

[3] HE J,HAN G,GUO C.Non-associated anisotropic plasticity of metal sheets based on the distortional concept [J].Thin-Walled Structures,2021,161:107523.

[4] TRESCA H.On the yield of solids at high pressures [J].Comptes Rendus Academie Science,1864,59:754.

[5] MISES V R.G?ttingen nachrichten,math[J].Phys.Klasse,1913,(1):582-592.

[6] HILL R.A theory of the yielding and plastic flow of anisotropic metals [J].Proceedings of the Royal Society A,1948,193(1033):281-297.

[7] CAZACU O,BARLAT F.Application of the theory of representation to describe yielding of anisotropic aluminum alloys[J].International Journal of Engineering Science,2003,41(12):1367-1385.

[8] BARLAT F,BREM J C,YOON J W,et al.Plane stress yield function for aluminum alloy sheets-part 1:Theory[J].International Journal of Plasticity,2003,19(9):1297-1319.

[9] HILL R.A user-friendly theory of orthotropic plasticity in sheet metals [J].International Journal of Mechanical Sciences,1993,35(1):19-25.

[10] ARETZ H,BARLAT F.New convex yield functions for orthotropic metal plasticity [J].International Journal of Non-Linear Mechanics,2013,51(9):97-111.

[11] SHI B,BARTELS A,MOSLER J.On the thermodynamically consistent modeling of distortional hardening:A novel generalized framework [J].International Journal of Plasticity,2014,63:170-182.

[12] SAFAEI M,LEE M G,ZANG S.An evolutionary anisotropic model for sheet metals based on non-associated flow rule approach [J].Computational Materials Science,2014,81:15-29.

[13] YANG C,ZHU G,ZHAO H,et al.The roles of stress state and pre-straining on Swift effect for an extruded AZ31 Mg alloy [J].Journal of Magnesium and Alloys,2021.

[14] SHI B,YANG C,PENG Y,et al.Anisotropy of wrought magnesium alloys:A focused overview [J].Journal of Magnesium and Alloys,2022,10(6):1476-1510.

[15] PENG J,ZHANG Z,CHEN H,et al.Investigation on the anisotropy of mechanical properties along different orientations of an AZ31 hot-extrusion bar [J].Journal of Alloys and Compounds,2021,854:157108.

[16] HE J,HAN G,LI S,et al.To correlate the phase transformation and mechanical behavior of QP steel sheets [J].International Journal of Mechanical Sciences,2019,152:198-210.

[17] HOSFORD W F.A generalized isotropic yield criterion [J].Journal of Applied Mechanics,1972,39:607-609.

[18] HILL R.Constitutive modelling of orthotropic plasticity in sheet metals [J].Journal of the Mechanics and Physics of Solids,1990,38(3):405-417.

[19] 李非凡，雷丽萍，方刚.镁合金塑性变形及延性断裂预测研究进展(上)——宏观本构模型的开发及应用[J].塑性工程学报，2020,27(1):1-13.LI Feifan,LEI Liping,FANG Gang.Research advances of plastic deformation and ductile fracture prediction of magnesium alloys.Part I:Development and applications of macroscopic constitutive models[J].Journal of Plasticity Engineering,2020,27(1):1-13.

[20] KARAFILLIS A P,BOYCE M C.A general anisotropic yield criterion using bounds and a transformation weighting tensor [J].Journal of the Mechanics and Physics of Solids,1993,41(12):1859-1886.

[21] LOU Y,HUH H,YOOH J W.Consideration of strength differential effect in sheet metals with symmetric yield functions[J].International Journal of Mechanical Sciences,2013,66:214-223.

[22] LIU C,HUANG Y,STOUT M G.On the asymmetric yield surface of plastically orthotropic materials:A phenomenological study[J].Acta Materialia,1997,45(6):2397-2406.

[23] KURODA M.A phenomenological plasticity model accounting for hydrostatic stress-sensitivity and vertex-type of effect[J].Mechanics of Materials,2004,36(3):285-297.

[24] CAZACU O,BARLAT F.A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals [J].International Journal of Plasticity,2004,20(11):2027-2045.

[25] YOOH J W,LOU Y,YOOH J,et al.Asymmetric yield function based on the stress invariants for pressure sensitive metals[J].International Journal of Plasticity,2014,56:184-202.

[26] BARLAT F,RICHMOND O.Prediction of tricomponent planestress yield surfaces and associated flow and failure behavior of strongly textured FCC polycrystalline sheets[J].Materials Sciene and Engineering,1987,95:15-29.

[27] BARLAT F,ARETZ H,YOON J W,et al.Linear transfomation-based anisotropic yield functions [J].International Journal of Plasticity,2005,21(5):1009-1039.

[28] 杨刚，张冲，娄燕山.5182-O铝合金塑性成形性能表征 [J].精密成形工程，2022,14(4):61-68.YANG Gang,ZHANG Chong,LOU Yanshan.Characterization on plastic forming properties of 5182-O aluminum alloy[J].Journal of Netshape Forming Engineering,2022,14(4):61-68.

[29] WOODTHORPE J,PEARCE R.The anomalous behavior of aluminum sheet under balanced biaxial tension [J].International Journal of Mechanical Sciences,1970,12:341-347.

[30] HILL R.Constitutive modeling of orthotropic plasticity in sheet metals[J].Journal of the Mechanics and Physics of Solids,1990,38(3):405-417.

[31] LIU C,LI M,YUE T.Thick anisotropy analysis forAA7B04 aluminum plate using CPFEM and its application for springback prediction in multi-point bending [J].The International Journal of Advanced Manufacturing Technology,2021,115(4):1139-53.

[32] CHINARA M,PAUL S K,CHATTERJEE S,et al.Effect of planar anisotropy on the hole expansion ratio of cold-rolled DP590 steel [J].Transactions of the Indian Institute of Metals,2022,75(2):535-543.

[33] MEYER K A,EKH M,AHLSTROM J.Anisotropic yield surfaces after large shear deformations in pearlitic steel [J].European Journal of Mechanics/A Solids,2020,82:103977.

[34] 林艳丽，袁杭，何祝斌，等.基于双轴可控加载实验的应力应变建立薄壁管各向异性屈服准则[J].锻压技术，2021,46(4):17-20,55.LIN Yanli,YUAN Hang,HE Zhubin,et al.Establishment of anisotropic yield criterion for thin-walled tubes based on stress and strain of biaxial controllable loading experiment [J].Forging & Stamping Technology,2021,46(4):17-20,55.

[35] 徐勇，王震，曾一畔，等.LY12铝合金板材本构模型的构建及验证应用[J].塑性工程学报，2020,27(1):138-145.XU Yong,WANG Zhen,ZENG Yipan,et al.Establishment and verification of constitutive model of LY12 aluminum alloy sheet [J].Journal of Plasticity Engineering,2020,27(1):138-145.

[36] 王海波，陈正阳，阎昱.屈服准则对 DP600 钢板各向异性行为的预测能力 [J].塑性工程学报，2015,23 (2):45-50.WANG Haibo,CHEN Zhengyang,YAN Yu.Capabilities of yield criterion on predicting the anisotropic behaviors of DP600 steel sheet [J].Journal of Plasticity Engineering,2015,23 (2):45-50.

[37] 项志伟，王成勇，吴进，等.基于Hill′48与Hill′90屈服模型的汽车后背门内板成形性比较研究[J].塑性工程学报，2020,27(3):10-15.XIANG Zhiwei,WANG Chengyong,WU Jin,et al.Comparative research on formability of inner panel of automobile rear door based on Hill′48 and Hill′90 yield models[J].Journal of Plasticity Engineering,2020,27(3):10-15.

[38] 夏亮亮，陈维晋，宋鸿武，等.不同屈服准则对热轧结构钢各向异性行为预测精度对比 [J].塑性工程学报，2019,26 (2):259-265.XIA Liangliang,CHEN Weipu,SONG Hongwu,et al.Comparison of prediction precision of anisotropy behavior of hot-rolled structural steel used different yield criteria [J].Journal of Plasticity Engineering,2019,26(2):259-265.

[39] HOU Z,WAN M,WU X,et al.Biaxial tensile behavior and yield loci of dual-phase steel sheets [J].Journal of Iron and Steel Research International,2018,25:589-597.

[40] KILIC S,OZTURK F,TOROS S.Analysis of yield criteria and flow curves on FLC for TWIP900 steel[J].Experimental Techniques,2020,44:597-612.

[41] MU Z,ZHAO J,MENG Q,et al.Limitation analysis of the Hill48 yield model and establishment of its modified model for planar plastic anisotropy [J].Journal of Materials Processing Technology,2022,299:117380.

[42] SUN F,LIU P,LIU W.Multi-level deep drawing simulations of AA3104 aluminium alloy using crystal plasticity finite element modelling and phenomenological yield function [J].Advances in Mechanical Engineering,2021,13(3):1-19.

[43] WANG Y,ZHANG C,WANG Y,et al.An investigation on the anisotropic plastic behavior and forming limits of an Al-Mg-Li alloy sheet[J].JMEPEG,2021,30:8224-8234.

[44] CHAIMONGKON T,PANICH S,UTHAISANGSUK V.Anisotropic fracture forming limit curve and its applications for sheet metal forming with complex strain paths of aluminum sheet [J].The International Journal of Advanced Manufacturing Technology,2021,115:3553-3577.

[45] RONG H,HU P,YING L,et al.Modeling the anisotropic plasticity and damage of AA7075 alloy in hot forming [J].International Journal of Mechanical Sciences,2022,215:106951.

[46] 王海波，门明良，阎昱，等.比例/非比例加载路径下 5754O 汽车用铝合金板各向异性变形行为的精确解析[J].机械工程学报，2018,54(24):77-87.WANG Haibo,MEN Mingliang,YAN Yu,et al.Accurate analysis of anisotropic deformation behavior of 5754O aluminum alloy sheet under proportional/non-proportional loading paths[J].Journal of Mechanical Engineering,2018,54(24):77-87.

[47] 李亨，周雨威，钱凌云，等.AZ31B 镁合金板各向异性行为的实验和模拟研究[J].塑性工程学报，2020,28(2):109-116.LI Heng,ZHOU Yuwei,QIAN Lingyun,et al.Experiment and simulation investigation of anisotropic behavior for AZ31B magnesium alloy sheet [J].Journal of Plasticity Engineering,2020,28(2):109-116.

[48] BATE P,AN Y.Plastic anisotropy in AA5005 Al-1Mg:Predictions using crystal plasticity finite element analysis [J].Scripta Materialia,2004,51(10):973-977.

[49] ABEDINI A,BUTCHER C,WORSWICK M J.Application of an evolving non-associative anisotropic-asymmetric plasticity model fora rare-earth magnesium alloy [J].Metals,2018,8(12):1-28.

[50] CAZACU O,BARLAT F.A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals [J].International Journal of Plasticity,2004,20(11):2027-2045.

[51] CAZACU O,PLUNKETT B,BARLAT F.Orthotropic yield criterion for hexagonal closed packed metals [J].International Journal of Plasticity,2006,22(7):1171-1194.

[52] PLUNKETT B,CAZACU O,BARLAT F.Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals[J].International Journal of Plasticity,2008,24(5):847-866.

[53] 王中美，唐炳涛，宋燕利.ZEK100-O镁合金薄板拉压非对称各向异性屈服模型研究[J].塑性工程学报，2021,28(1):138-146.WANG Zhongmei,TANG Bingtao,SONG Yanli.Investigation on tension-compression asymmetry anisotropic yield model of ZEK100-O magnesium alloy sheet[J].Journal of Plasticity Engineering,2021,28(1):138-146.

[54] LI Z,YANG H,LIU J,et al.An improved yield criterion characterizing the anisotropic and tension-compression asymmetric behavior of magnesium alloy [J].Journal of Magnesium and Alloys,2022,10:569-584.

[55] 李明辉，罗欢，樊晓光，等.纯钼薄板各向异性拉压不对称性本构建模研究[J].精密成形工程，2022,14(1):28-33.LI Minghui,LUO Huan,FAN Xiaoguang,et al.Constitutive model of anisotropic tension-compression asymmetry of thin pure molybdenum sheet[J].Journal of Netshape Forming Engineering,2022,14(1):28-33.

[56] HADDADI H,BOUVIER S,BANU M,et al.Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations:Modelling,numerical analysis and identification [J].International Journal of Plasticity,2006,22(12):2226-2271.

[57] FEIGENBAUM H P,DAFALIAS Y F.Directional distortional hardening in metal plasticity within thermodynamics [J].International Journal of Solids and Structures,2007,44(22-23):7526-7542.

[58] BARLAT F,GRACIO J J,LEE M G,et al.An alternative to kinematic hardening in classical plasticity[J].International Journal of Plasticity,2011,27(9):1309-1327.

[59] KHAN A S,PANDEY A,STOUGHTON T.Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation.Part II:A very high work hardening aluminum alloy (annealed 1100 Al) [J].International Journal of Plasticity,26(10):1421-1431.

[60] PLUNKETT B,LEBENSOHN R,CAZACU O,et al.Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening [J].Acta Materialia,2006,54:4159-4169.

[61] QIN J,HOLMEDAL B,ZHANG K,et al.Modeling strain-path changes in aluminum and steel [J].International Journal of Solids and Structures,2017,117:123-136.

[62] LEE J,Bong H J,KIM D,et al.Modeling differential permanent softening under strain-path changes in sheet metals using a modified distortional hardening model [J].International Journal of Plasticity,2020,133:102789.

[63] SHI B,MOSLER J.On the macroscopic description of yield surface evolution by means of distortional hardening models:Application to magnesium [J].International Journal of Plasticity,2013,44:1-22.

[64] SHI B,PENG Y,YANG C,et al.Thermodynamically consistent constitutive modeling of distortional hardening for wrought Mg alloys under non-proportional loading [J].Materials Science & Engineering A,2017,700:690-694.

[65] SHI B,PENG Y,PAN F.A generalized thermodynamically consistent distortional hardening model for Mg alloys [J].International Journal of Plasticity,2015,74:158-174.

[66] YANG C,SHI B,PENG Y,et al.Loading path dependent distortional hardening of Mg alloys:Experimental investigation and constitutive modeling on cruciform specimens [J].International Journal of Mechanical Sciences,2019,160:282-297.

[67] SHI B,PENG Y,YANG C.Loading path dependent distortional hardening of Mg alloys:Experimental investigation and constitutive modeling [J].International Journal of Plasticity,2017,90:76-95.

[68] HE W,LIN T,LIU Q.Experiments and constitutive modeling of deformation behavior of a magnesium sheet during two-step loading [J].International Journal of Solids and Structures,2018,147:52-60.

[69] BARLAT F,YOON S Y,LEE S Y,et al.Distortional plasticity framework with application to advanced high strength steel [J].International Journal of Solids and Structures,2020,202:947-962.

基本信息:

中图分类号:TG14

引用信息:

[1]赵辉,彭艳,石宝东.金属材料各向异性本构模型研究进展[J].塑性工程学报,2022,29(10):32-42.

基金信息:

国家自然科学基金资助项目(51771166); 河北省自然科学基金资助项目(E2019203452,E2021203011); 河北省人社厅人才工程(A202002002); 河北省教育厅重点项目(ZD2021107); 中央引导地方科技发展项目(216Z1001G; 206Z1601G); 燕山大学基础创新科研培育项目(2021LGZD002); 华中科技大学材料成形与模具技术国家重点实验室开放基金(P2023-004)

发布时间：

2022-10-26

出版时间：

2022-10-26

网络发布时间：

2022-10-26

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