金属材料动态失效理论与多尺度分析方法

本书以金属材料在强动载荷下的动态失效理论与多尺度分析方法为研究主题，旨在深入探究金属材料在极端条件下的动态响应行为及其理论基础，进而为相关领域的科学研究和工程应用提供理论指导和技术支持。专著内容涵盖理论与应用两大内容，理论包括金属材料的动态本构模型、状态方程的确定、损伤特性分析与失效机制模拟等关键技术点，在应用层面结合实验数据和多尺度数值模拟方法，对金属材料的动态响应进行全面系统的分析和研究。 在理论分析部分，全面阐述了金属材料动态失效理论发展脉络，系统分析了状态方程与动态本构模型的演化历史与应用现状。在状态方程层面，采用多尺度冲击技术和分子动力学方法确定Mie-Grüneisen状态方程，为金属材料在不同压力和温度下的动态行为提供准确描述。在动态本构层面，提出了包括修正Johnson-Cook本构模型在内的新型动态本构模型，用于描述金属材料在高速冲击和高应变率下的动态行为。 在多尺度方法部分，专著给出了包括第一性原理、分析动力学、有限元的多尺度分析方法在金属材料动态失效分析中的应用实例，本书的研究成果不仅丰富了金属材料动态失效理论，还为相关领域的科研人员和工程技术人员提供了实用的分析方法和技术指导，具有重要的理论意义和应用价值。

第 1 章 金属材料动态失效研究概述··································································.1
1.1 研究背景··························································································.1
1.2 研究动态··························································································.3
1.2.1 金属材料动态本构关系·······························································.3
1.2.2 金属材料高压状态方程·······························································.7
1.3 理论基础··························································································10
1.3.1 金属材料动态损伤与失效····························································10
1.3.2 金属材料强动载荷下的层裂·························································18
1.4 本书工作··························································································22
第 2 章 金属材料偏量本构模型建立与模型参数识别·············································25
2.1 修正 JOHNSON-COOK 本构模型·······························································25
2.1.1 Johnson-Cook 本构模型·······························································25
2.1.2 力热能量密度等效理论·······························································26
2.1.3 修正 Johnson-Cook 本构模型························································29
2.2 TI-6AL-4V 合金本构模型······································································30
2.3 模型参数敏感度全局分析与识别方法······················································34
2.3.1 参数敏感度分析方法··································································34
2.3.2 模型参数识别方法·····································································35
2.4 动态本构模型验证··············································································37
2.4.1 修正 Johnson-Cook 本构模型验证··················································38
2.4.2 Ti-6Al-4V 合金两相本构模型验证 ·················································47
2.5 本章小结··························································································53
第 3 章 高压状态方程的确定与应用··································································55
3.1 多尺度冲击技术（MSST）···································································55
3.1.1 MSST 理论 ··············································································56
3.1.2 冲击波稳定性控制·····································································57
3.2 理论分析体系····················································································58
3.2.1 Hugoniot 压力（PH）与内能（EH） ···············································58
3.2.2 冷压（Pc）与冷能（Ec） ····························································59
3.2.3 Grüneisen 系数（γ）···································································60
3.2.4 熔化温度（Tm）········································································62
3.2.5 Mie-Grüneisen 状态方程······························································62
3.3 MSST 计算模型 ·················································································63
3.4 结果与讨论·······················································································64
3.4.1 冲击 Hugoniot 线（PH、EH） ·······················································64
3.4.2 冷压与冷能（PC、EC） ······························································68
3.4.3 Grüneisen 系数（γ）···································································69
3.4.4 熔化温度（Tm）········································································71
3.4.5 Mie-Grüneisen 状态方程······························································72
3.5 本章小结··························································································74
第4章 多尺度分析方法应用――金属材料高应变率下动态失效机制分子动力学
模拟·································································································75
4.1 孔洞成核与生长模型···········································································75
4.2 分子动力学模型与分析方法··································································77
4.2.1 分子动力学模型········································································77
4.2.2 分析方法·················································································77
4.2.3 势函数验证··············································································78
4.3 结果与讨论·······················································································79
4.3.1 温度对拉应力的影响··································································79
4.3.2 温度对孔洞体积分数的影响·························································81
4.3.3 位错分析（DXA） ····································································86
4.3.4 径向分布函数分析（RDF）·························································88
4.3.5 共邻分析（CNA） ····································································89
4.3.6 温度对 NAG 模型参数影响··························································93
4.4 本章小结··························································································95
第 5 章 多尺度分析方法应用――金属材料强动载荷下层裂行为与机制分子
动力学模拟························································································97
5.1 分子动力学模型与分析方法··································································98
金属材料动态失效理论与多尺度分析方法 X
5.1.1 分子动力学模型········································································98
5.1.2 分析方法·················································································99
5.2 结果与讨论····················································································.100
5.2.1 层裂过程中波形演化·······························································.102
5.2.2 层裂自由面速度曲线演化·························································.106
5.2.3 层裂强度分析········································································.109
5.2.4 层裂特性分析········································································.112
5.2.5 温度对经典层裂的影响····························································.117
5.2.6 温度对微层裂的影响·······························································.124
5.2.7 自由面速度曲线与损伤演化······················································.131
5.3 本章小结·······················································································.134
第 6 章 多尺度分析方法应用――动态本构模型在结构动态失效行为数值模拟·········.136
6.1 钽层裂自由面速度曲线特征多尺度模拟研究··········································.137
6.1.1 计算模型··············································································.138
6.1.2 模型参数··············································································.139
6.1.3 模型参数验证········································································.141
6.1.4 结果与分析···········································································.143
6.2 钽靶板在高速弹丸撞击下的损伤行为模拟研究·······································.150
6.2.1 计算模型··············································································.151
6.2.2 模型参数··············································································.152
6.2.3 结果与分析···········································································.153
6.3 爆炸载荷下金属管道动态响应模拟研究················································.162
6.3.1 计算模型··············································································.163
6.3.2 模型参数··············································································.164
6.3.3 结果与分析···········································································.165
6.4 本章小结·······················································································.172
第 7 章 研究小结与展望 ··············································································.174
7.1 小结·····························································································.174
7.2 展望·····························································································.177
参考文献 ···································································································.179