纯铁相变和层裂损伤的数值模拟

种涛; 唐志平; 谭福利; 王桂吉; 赵剑衡

doi:10.11858/gywlxb.20170528

纯铁相变和层裂损伤的数值模拟

doi: 10.11858/gywlxb.20170528

种涛^{1, 2,},
唐志平¹,
谭福利²,
王桂吉²,
赵剑衡^2,*, ,

1.
中国科学技术大学近代力学系，安徽合肥 230027
2.
中国工程物理研究院流体物理研究所，四川绵阳 621999

基金项目:

国家自然科学基金委重大科研仪器设备研制专项 11327803

国家自然科学基金 11502252

国家自然科学基金 11302204

四川省青年科技创新研究团队专项计划项目 2016TD0022

科学挑战专题 JCKY2016212A501

详细信息

作者简介:
种涛(1986—), 男，博士，主要从事动高压实验加载技术和材料动力学行为研究. E-mail:maoda318@163.com

通讯作者:
赵剑衡(1969—), 男，博士，研究员，主要从事强激光破坏机理、爆轰物理、冲击动力学、超高速发射和超高压力加载技术研究.E-mail:jianh_zhao@caep.cn

中图分类号: O521.2;O346.4
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出版历程
- 收稿日期: 2017-02-20
- 修回日期: 2017-03-26

Numerical Simulation of Phase Transition and Spall of Iron

CHONG Tao^{1, 2
,},
TANG Zhiping¹,
TAN Fuli²,
WANG Guiji²,
ZHAO Jianheng^{2,*
, ,}

1.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
2.
Institute of Fluid Physics, CAEP, Mianyang 621999, China

摘要

摘要: 基于Hayes多相状态方程、非平衡相变速率模型、非平衡损伤演化模型和含损伤的本构关系，建立了同时考虑相变和损伤的数值模拟方法。利用该方法对纯铁的对称碰撞实验进行了数值模拟，分析了纯铁的相变和层裂损伤的相互作用。结果表明，纯铁材料中发生相变时，等厚样品中才会发生层裂，并且数值计算的样品自由面速度、层裂位置与实验结果吻合。
- 相变 /
- 层裂 /
- 多相状态方程 /
- 对称碰撞实验
Abstract: Based on the Hayes multi-phase equation of state, non-equilibrium phase transition rate and damage evolution rate equation, and the constitutive relation of materials, the numerical simulation method considering the phase transition and damage was proposed and then used to analyze the interaction between phase transition and spall of iron in the symmetric impact experiment of iron.The results show that it is only when the phase transition of pure iron occurs that spall emerges.In addition, the free surface velocities and the spall positions of the sample are in agreement with the experimental results.
- phase transition /
- spall /
- multi-phase equation of state /
- symmetrical impact experiment

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图 1 纯铁样品自由面速度随时间的变化

Figure 1. Free surface velocities of iron vs. time

下载: 全尺寸图片幻灯片

表 1 材料多相状态方程参数^{[5, 11-12]}

Table 1. Material parameters of the multi-phase eqation of state^{[5, 11-12]}

Phase	K_ξ/GPa	α_ξ	μ_ξ/GPa	c_{p, ξ}/(J·K^-1·kg^-1)	Δε^V	A₀
α-Fe	176.0	3.6×10^-5	77.5	440	0.03	0.9
ε-Fe	181.0	3.6×10^-5	79.5	440

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表 2 改进型Johnson-Cook模型参数^[16]

Table 2. Parameters of corrected Johnson-Cook model^[16]

Material	A/GPa	B/GPa	C	n	m	N	a	σ₀/GPa	λ	D_c
Fe	0.792	0.55	0.014	0.26	1.03	0	7.6×10⁵	3.5	2.9	0.25

下载: 导出CSV

参考文献(16)

[1]	BANCROFT D, PETERSON E L, MINSHALL S.Polymorphism of iron at high pressure[J]. Journal of Applied Physics, 1956, 27(3):291-298 doi: 10.1063/1.1722359
[2]	BARKER L M, HOLLENBACH R E.Shock wave study of the α $ \rightleftharpoons $ε phase transition in iron[J]. Journal of Applied Physics, 1974, 45(11):4872-4887. doi: 10.1063/1.1663148
[3]	VOLTZ C, ROY G. Study of spalling for high purity iron below and above induced α $ \rightleftharpoons $β phase transition[C]//Shock Compression of Condensed Matter. New York: AIP Conference Proceeding, 2003: 511-514.
[4]	唐小军, 胡海波, 李庆忠, 等.HR2钢及几种铁基材料的冲击相变行为[J].爆炸与冲击, 2006, 26(2):115-120. doi: 10.11883/1001-1455(2006)02-0115-06 TANG X J, HU H B, LI Q Z, et al.Experimental studies on shock-induced phase transition in HR2 and other Fe-based materials[J]. Explosion and Shock Waves, 2006, 26(2):115-120. doi: 10.11883/1001-1455(2006)02-0115-06
[5]	张林. 延性材料冲击响应: 动态损伤与断裂、结构相变的新模型[D]. 绵阳: 中国工程物理研究院, 2005. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=Y809873
[6]	陈永涛, 唐小军, 李庆忠, 等.纯铁材料的冲击相变与"反常"层裂[J].爆炸与冲击, 2009, 29(6):637-641. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=bzycj200906014 CHEN Y T, TANG X J, LI Q Z, et al.Phase transition and abnormal spallation in pure iron[J]. Explosion and Shock Waves, 2009, 29(6):637-641. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=bzycj200906014
[7]	陈永涛, 唐小军, 李庆忠.Fe基α相合金的冲击相变及其对层裂行为的影响研究[J].物理学报, 2011, 60(4):046401. CHEN Y T, TANG X J, LI Q Z.Phase transition and influence of phase transitionon spall in α phase Fe-based alloy[J]. Acta Physica Sinica, 2011, 60(4):046401.
[8]	裴晓阳, 贺红亮, 李平, 等. 铁的冲击相变及其对层裂影响的数值模拟研究[C]//第九届全国冲击动力学学术会议. 焦作, 2009.
[9]	HAYES D B.Wave propagation in a condensed medium with N transforming phases:application to solid-Ⅰ-solid-Ⅱ-liquid bismuth[J]. Journal of Applied Physics, 1975, 46(8):3438-3443. doi: 10.1063/1.322065
[10]	郭扬波, 唐志平, 徐松林.一种考虑静水压力和偏应力共同作用的相变临界准则[J].固体力学学报, 2004, 25(4):417-422. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gtlxxb200404009 GUO Y B, TANG Z P, XU S L.A critical criterion for phase transformation considering both hydrostatic pressure and deviatoric stress effects[J]. Acta Mechanica Solida Sinica, 2004, 25(4):417-422. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gtlxxb200404009
[11]	唐志平.冲击相变[M].北京:科学出版社, 2008.
[12]	徐锡申, 张万箱.实用物态方程理论导引[M].北京:科学出版社, 1986.
[13]	WALLACE D C.Thermodynamics of crystals[M]. New York:John Weily and Sons, 1972.
[14]	种涛, 王桂吉, 谭福利, 等.磁驱动准等熵压缩下铁的相变[J].中国科学:物理学, 力学, 天文学, 2014, 44(6):630-636. https://www.researchgate.net/profile/Guiji_Wang/publication/274232992_Phase_transition_of_iron_under_magnetically_driven_quasi-isentropic_compression/links/556c3c8e08aefcb861d63387.pdf?inViewer=0&pdfJsDownload=0&origin=publication_detail CHONG T, WANG G J, TAN F L, et al.Phase transition of iron under magnetically driven quasi-isentropic compression[J]. Scientia Sinica:Physica, Mechanica & Astronomica, 2014, 44(6):630-636. https://www.researchgate.net/profile/Guiji_Wang/publication/274232992_Phase_transition_of_iron_under_magnetically_driven_quasi-isentropic_compression/links/556c3c8e08aefcb861d63387.pdf?inViewer=0&pdfJsDownload=0&origin=publication_detail
[15]	袁福平. 复合应力波的传播特性和工程效应研究[D]. 合肥: 中国科学技术大学, 2002. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=Y435039
[16]	曹结东. 含损伤热粘塑性本构数值算法和铝锂合金动态响应研究[D]. 合肥: 中国科学技术大学, 2006.