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金属材料的率-温耦合响应与动态本构关系综述

袁康博 姚小虎 王瑞丰 莫泳晖

袁康博, 姚小虎, 王瑞丰, 莫泳晖. 金属材料的率-温耦合响应与动态本构关系综述[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0416
引用本文: 袁康博, 姚小虎, 王瑞丰, 莫泳晖. 金属材料的率-温耦合响应与动态本构关系综述[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0416
YUAN Kangbo, YAO Xiaohu, WANG Ruifeng, MO Yonghui. Rate-temperature coupling response and dynamic constitutive relationship of metallic materials: a review[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0416
Citation: YUAN Kangbo, YAO Xiaohu, WANG Ruifeng, MO Yonghui. Rate-temperature coupling response and dynamic constitutive relationship of metallic materials: a review[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0416

金属材料的率-温耦合响应与动态本构关系综述

doi: 10.11883/bzycj-2021-0416
基金项目: 国家杰出青年科学基金(11925203); 国家自然科学基金(12072287)
详细信息
    作者简介:

    袁康博(1992- ),女,博士,kangboyuan0528@scut.edu.cn

    通讯作者:

    姚小虎(1974- ),男,博士,教授,博士生导师,yaoxh@scut.edu.cn

  • 中图分类号: O347.3

Rate-temperature coupling response and dynamic constitutive relationship of metallic materials: a review

  • 摘要: 金属材料在冲击、爆炸等高应变率加载下的塑性流动行为具有不同于静载的率-温耦合性和微观机制。航空航天、航海、能源开采、核工业、公共安全、灾害防治等方面的金属结构设计与性能评估需要进行大量的动载实验和数值模拟,建立准确的材料动态本构模型是结构数值模拟可靠性的基础和关键。本文中总结了金属材料的率-温耦合变形行为及内在机理,回顾了金属动态本构关系研究的起源与发展脉络,分别针对唯象模型、具有物理基础的模型和人工神经网络模型进行详细介绍和横向比较。唯象模型和人工神经网络模型分别因易应用和高预测精度而受到青睐,基于物理概念的宏观连续介质模型可以描述体现内部演化的真实物理量,从而涵盖更大的应变范围,更好地反映应变率、温度和应变的影响机制。
  • 图  1  低碳钢的屈服应力在不同温度和应变率区域内的应变率效应

    Figure  1.  Strain rate effect on yield stress of low-carbon steel in different temperature and strain rate regions

    图  2  金属的典型温度敏感性

    Figure  2.  Typical temperature sensitivity of metal

    图  3  Q235B钢在0.1应变下流动应力随温度和应变率的变化[19]

    Figure  3.  Variation of flow stress with temperature and strain rate for Q235B steel[19]

    图  4  不同热处理状态下的Inconel 718镍基高温合金的流动应力随温度变化曲线[16]

    Figure  4.  Flow stress vs. temperature curves of Inconel 718 superalloy under different heat-treatment conditions[16]

    图  5  塑性流动曲线的4个阶段和绝热剪切引起的动态再结晶微观图片

    Figure  5.  Four stages of plastic flow curve and micro image of DRX caused by adiabatic shear

    图  6  不锈钢的绝热剪切局部化引起的变形孪晶[44]

    Figure  6.  Deformation twinning in the stainless steel by adiabatic shear localization[44]

    图  7  BP神经网络的结构示意图

    Figure  7.  Schematic structure of BP neural network

    表  1  唯象动态本构模型之间的比较

    Table  1.   Comparison among phenomenological dynamic constitutive models

    发表时间模型名称应变率/S−1温度/℃待定参数/个主要特点
    1976Voce-Kocks (VK) [80]10−1−173~3277●饱和应力$ {\sigma }_{s} $为温度和应变率的函数
    1983Johnson-Cook(JC)[77]对数应变率的线性函数,可达104温度的幂函数5●兼顾温度和应变率效应
    ●参数少,形式简单
    1992Khan-Huang (KH) [82]10−5~104不考虑5●未考虑温度效应
    ●将总应变率分解为弹性和塑性分量
    1999Khan-Huang-Liang (KHL) [83]10−6~10425~3167●在KH模型基础上增加温度效应
    2009Khan–Liang–Farrokh (KLF) [115]10−2~3×104-50~2509●基于KHL模型
    ●兼顾温度和应变率效应
    ●考虑晶粒尺寸
    2008Improved Fields-Backofen (FB) model by Cheng[107]10−1~10−4150~3005●兼顾温度和应变率效应
    ●参数少,形式简单
    2005Molinari-Ravichandran (MR) [81]10−2~106−196~2009●基于微观结构的特征尺度
    ●考虑温度、应变率和晶粒尺寸
    2010Lin-Liu (L-L) [117]10−2~10850~11508●可描述热成形过程达到应力峰值的应力-应变曲线
    2010Toros-Ozturk(T-O) [118]0.0016-0.16室温~3009●可描述大塑性应变下的软化行为
    下载: 导出CSV

    表  2  具有物理基础的动态本构模型之间的比较

    Table  2.   Comparison among physically based dynamic constitutive models

    发表时间模型名称建模思想主要特点
    1975Bodner-Partom (BP) [93]●基于不可逆热力学,位错动力学和内变量理论●采用塑性功度量变形抗力
    ●无需屈服函数
    ●参数较少(不多于10),应用广泛
    1987Zerilli-Armstrong(ZA) [45]●位错动力学理论
    ●BCC和FCC晶体结构的塑性变形微观机制不同
    ●考虑温度、应变率和平均晶粒尺寸
    ●不同晶体结构具有不同表达式
    ●描述热激活区域的塑性流动行为
    1980Steinberg-Guinan (SG) [94]●剪切模量和屈服应力具有相同的温度和压强依赖性,将流体与冲击下的固体等效●考虑温度、压强效应
    ●未考虑应变率效应(认为高应变率下应变率效应不明显)
    1989Steinberg-Lund(SL) [96]●流动应力等于热分量和非热分量之和,压强通过影响剪切模量影响流动应力●考虑温度、应变率和压强效应
    ●适用于10−4~106 s−1宽应变率范围
    1981Mecking-Kocks (MK) [95]●针对FCC金属
    ●位错累积是塑性变形主要障碍
    ●流动应力是应变硬化和率-温效应的乘积
    ●在应变硬化项中考虑动态回复
    1988Mechanical Threshold Stress (MTS) [91]●采用力学阈值应力作为内部结构参量,不存在应变率效应的突然增大●考虑温度、应变率和应变历史的影响
    ●需要较多实验结果确定本构参数
    1998Nemat-Nasser-Li(NN) [98]●位错动力学
    ●热激活理论
    ●考虑FCC金属的应变历史对热激活行为的影响
    1999Nemat-Nasser-Guo
    (NN) [100]
    ●位错动力学
    ●热激活理论
    ●高应变率下的黏性拖曳机制
    ●考虑高应变率加载下,金属塑性变形具有黏性拖曳导致的强化
    2015Guo-Wang(GW) [19]●位错动力学
    ●热激活理论
    ●动态应变时效经典理论
    ●描述第三型应变时效及其应变率效应
    2021Guo-Yuan(GY) [16]●沉淀强化理论
    ●动态应变时效经典理论
    ●考虑晶粒尺寸、位错密度和沉淀相体积分数及尺寸
    ●描述不同晶体结构的多相合金的塑性流动行为的区别
    2005Voyiadjis-Abed(VA) [128]●位错动力学
    ●热激活理论(热激活能与温度、应变率和应变之间的关系)
    ●考虑FCC和BCC金属热激活行为的区别
    2008Voyiadjis-Almasri(VA) [17]●针对FCC金属,考虑应变历史的影响
    2018-2020Voyiadjis-Song(VS) [130-132]●动态应变时效发生符合韦伯概率分布●考虑动态应变时效,并结合韦伯分布进行描述
    2001
    2009
    2010
    Rusinek–Klepaczko
    (RK) [133-135]
    ●流动应力为描述应变强化的内应力和描述率-温效应的有效应力之和●考虑杨氏模量的温度效应
    ●考虑动态应变时效引起的负应变率效应[134]
    ●考虑FCC金属在高应变率下的黏性拖曳[135]
    2003Preston–Tonks–Wallace (PTW) [137]●针对应变率效应机制的不同,分为3个区:热激活控制的位错滑移区、过渡区和超高应变率区●应变率范围涵盖15个数量级
    ●基于量纲分析法建模
    ●考虑强冲击下非线性位错拖曳效应在塑性变形机制中占主导地位
    1998Cellular Automaton
    (CA) [139]
    ●物理冶金原理
    ●针对动态再结晶中的微观组织演化
    ●不同温度(高温)和应变率的动态再结晶
    ●反向方法
    下载: 导出CSV
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  • 收稿日期:  2021-10-08
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