爆炸/冲击动力学学习研究中的若干疑惑

王礼立

doi:10.11883/bzycj-2020-0415

爆炸/冲击动力学学习研究中的若干疑惑

doi: 10.11883/bzycj-2020-0415

王礼立

宁波大学冲击与安全工程教育部重点实验室，浙江宁波 315211

详细信息

作者简介:
王礼立（1934－　），男，教授，博士生导师，wanglili@nbu.edu.cn

中图分类号: O347
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出版历程
- 收稿日期: 2020-11-11
- 网络出版日期: 2020-12-25
- 刊出日期: 2021-01-05

Some doubts in studying explosion/impact dynamics

WANG Lili

Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University,Ningbo 315211, Zhejiang, China

摘要

摘要: 在爆炸/冲击动力学的学习研究过程中，“疑惑”是创新的前奏。本文中，与大家分享了我所经历的若干实例，包括：静力学平衡条件可以用于波传播分析吗？满足屈服条件（σ_eff=Y）就一定进入塑性了吗？ZWT方程的黏弹性松弛时间θ₁和θ₂为什么互相无关？有质量就有惯性吗？材料动态本构响应要考虑惯性效应吗？层裂是材料动态响应问题还是结构动态响应？塑性铰分析与波传播分析有相通的内在联系吗？
- 爆炸/冲击动力学 /
- 应力波 /
- 材料本构关系 /
- 疑惑 /
- 创新
Abstract: In the learning and research process of explosion/impact dynamics, “doubt” is the prelude of innovation. Several examples of my experiences are shared here, including as follows. Can statics equilibrium conditions be used for wave propagation analysis? Must satisfy the yield condition (σ_eff = Y) be in plastic state? Why are the viscoelastic relaxation times θ₁ and θ₂ in the ZWT equation independent of each other? Is there inertia where there is mass? Should inertial effect be considered in the dynamic constitutive response of materials? Is spalling a problem of material dynamic response or structural dynamic response? Is there any inherent relation between plastic hinge analysis and wave propagation analysis?
- explosion/impact dynamics /
- stress wave /
- material constitutive relation /
- doubt /
- innovation

HTML全文

图 1 强间断横波在弦中的传播

Figure 1. A strong discontinuous transverse wave propagating in a string

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图 2 无限长直弦的突加恒速斜向点冲击

Figure 2. An infinite straight string subjected to abrupt constant-velocity oblique point-impact

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图 3 杆中一维弹塑性加载波的传播

Figure 3. One-dimensional elastic-plastic wave propagating in a bar

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图 4 松弛时间的有效影响阈

Figure 4. The effect influence domain of a relaxation time

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图 5 层裂的平板撞击实验示意图

Figure 5. Schematic of the plate impact experiment for spalling

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图 6 简支梁在冲击加载下的横向速度剖面、剪力分布、横向位移剖面、剪切应变分布和、弯矩分布

Figure 6. Simply supported beam subjected to impulsive loading: transverse velocity profile, shear force distribution, transverse displacement profile, shear strain distribution, bending moment distribution

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参考文献(35)

[1]	РАХМАТУЛИН Х А. Косом ударе по гибкой нити с большими скоростями при наличии [J]. Прик Мат Мех, 1945, 9: 449–462.
[2]	РАХМАТУЛИН Х А, ДЕМЬЯНОВ Ю А. Прочность при интенсивных кратковременных нагрузках [M]. Физматгиз, Москва, 1961.
[3]	КРИСТЕСКУ Н. О волнах нагрузки и разгрузки, возникающих при движении упругой или пластической нити [J]. Прик Мат Мех, 1954, 18(3): 257.
[4]	王礼立. 应力波基础 [M]. 2版. 北京: 国防工业出版社, 2005.
[5]	王礼立. 柔性弦中弹塑性波的传播 [J]. 力学学报, 1964, 7(3): 228–240.
[6]	TAN P J, REID S R, HARRIGAN J J, et al. Dynamic compressive strength properties of aluminium foams. Part Ⅱ: “Shock” theory and comparison with experimental data and numerical models [J]. Journal of the Mechanics and Physics of Solids, 2005, 53(10): 2206–2230. DOI: 10.1016/j.jmps.2005.05.003.
[7]	WANG L L, YU T X. On the critical velocities for the propagation of a “steady-shock” wave in a bar made of cellular material [C] // Proceedings of International Symposium on Dynamic Energy Absorption (ISDEA 2012). Leshan, China, 2012.
[8]	WANG L L, YANG L M, DING Y Y. On the energy conservation and critical velocities for the propagation of a “steady-shock” wave in a bar made of cellular material [J]. Acta Mechanica Sinica, 2013, 29(3): 420–428. DOI: 10.1007/s10409-013-0024-3.
[9]	王礼立, 朱兆祥, 虞吉林. 弹塑性平面波传播中弹塑性边界的间断性质 [J]. 爆炸与冲击, 1983, 3(1): 1–8. WANG L L, ZHU Z X, YU J L. On discontinuous properties of elastic-plastic boundaries in elastic-plastic plane waves propagation [J]. Explosion and Shock Waves, 1983, 3(1): 1–8.
[10]	王礼立. 冲击载荷下的材料动态失稳和动态屈服 [J]. 力学学报, 1989, 21(S1): 142–147. WANG L L. The dynamic instability and dynamic yield of materials under impact loading [J]. Chinese Journal of Theoretical and Applied Mechanics, 1989, 21(S1): 142–147.
[11]	王礼立. 塑性波、动态屈服准则和动态塑性本构关系 [C] // 固体力学进展及应用: 庆贺李敏华院士90华诞文集. 北京: 科学出版社, 2007: 20−28.
[12]	虞吉林, 王礼立, 朱兆祥. 杆中弱间断弹塑性边界的传播速度 [J]. 科学通报, 1982, 27(5): 574–1214. YU J L, WANG L L, ZHU Z X. Propagation velocity of elastic-plastic boundaries with weak discontinuities in a bar [J]. Chinese Science Bulletin, 1982, 27(5): 574–1214.
[13]	虞吉林, 王礼立, 朱兆祥. 杆中应力波传播过程中弹塑性边界的基本性质 [J]. 固体力学学报, 1982(3): 313–324. YU J L, WANG L L, ZHU Z X. Basic properties of elastic-plastic boundaries in stress wave propagation in a bar [J]. Acta Mechanica Solida Sinica, 1982(3): 313–324.
[14]	虞吉林, 王礼立, 朱兆祥. 杆中弹塑性边界传播速度的确定 [J]. 固体力学学报, 1984, 5(1): 16–26. YU J L, WANG L L, ZHU Z X. Determination of propagation velocity of elastic-plastic boundaries in a bar [J]. Acta Mechanica Solida Sinica, 1984, 5(1): 16–26.
[15]	TING T C T. Nonexistence of higher order discontinuities across elastic/plastic boundary in elastic-plastic wave propagation [C] // SIH G C, ISHLINSKY A J, MILEIKO S T, et al. Plasticity and Failure Behavior of Solids. Dordrecht: Springer, 1990: 115-136. DOI: 10.1007/978-94-009-1866-5_6.
[16]	唐志平, 田兰桥, 朱兆祥, 等. 高应变率下环氧树脂的力学性能 [C] // 第二届全国爆炸力学会议论文集. 江苏扬州, 1981.
[17]	王礼立, 施绍裘, 陈江瑛, 等. ZWT非线性热粘弹性本构关系的研究与应用 [J]. 宁波大学学报(理工版), 2000, 13(S1): 141–149.
[18]	WANG L L. Stress wave propagation for nonlinear viscoelastic polymeric materials at high strain rates [J]. Journal of Mechanics, 2003, 19(1): 177–183. DOI: 10.1017/S1727719100004184.
[19]	周风华, 王礼立, 胡时胜. 有机玻璃在高应变率下的损伤型非线性粘弹性本构关系及破坏准则 [J]. 爆炸与冲击, 1992, 12(4): 333–342. ZHOU F H, WANG L L, HU S S. A damage-modified nonlinear visco-elastic constitutive relation and failure criterion of PMMA at high strain-rates [J]. Explosion and Shock Waves, 1992, 12(4): 333–342.
[20]	CHU C H, WANG L L, XU D B. A nonlinear thermo-viscoelastic constitutive equation for thermoset plastics at high strain rates [C] // Proceedings of the International Conference on Nonlinear Mechanics. Beijing: Science Press, 1985: 92−97.
[21]	WANG L L, HUANG D J, GAN S. Nonlinear viscoelastic constitutive relations and nonlinear viscoelastic wave propagation for polymers at high strain rates [C] // Constitutive Relation in High/Very High Strain Rates, IUTAM Symposia (International Union of Theoretical and Applied Mechanics). Tokyo: Springer-Verlag, 1996: 137−146. DOI: 10.1007/978-4-431-65947-1_16.
[22]	王礼立, 任辉启, 虞吉林, 等. 非线性应力波传播理论的发展及应用 [J]. 固体力学学报, 2013, 34(3): 217–240. DOI: 10.3969/j.issn.0254-7805.2013.03.001. WANG L L, REN H Q, YU J L, et al. Development and application of the theory of nonlinear stress wave propagation [J]. Chinese Journal of Solid Mechanics, 2013, 34(3): 217–240. DOI: 10.3969/j.issn.0254-7805.2013.03.001.
[23]	王礼立, 胡时胜, 杨黎明, 等. 聊聊动态强度和损伤演化 [J]. 爆炸与冲击, 2017, 37(2): 169–179. DOI: 10.11883/1001-1455(2017)02-0169-11. WANG L L, HU S S, YANG L M, et al. Talk about dynamic strength and damage evolution [J]. Explosion and Shock Waves, 2017, 37(2): 169–179. DOI: 10.11883/1001-1455(2017)02-0169-11.
[24]	TIMOSHENKO S. Strength of materials [M]. New York: Van Nostrand Company, 1930.
[25]	王礼立, 胡时胜, 杨黎明, 等. 材料动力学 [M]. 合肥: 中国科学技术大学出版社, 2017.
[26]	WANG L L, YANG L M, DONG X L, et al. Dynamics of materials: experiments, models and applications [M]. London: Academic Press, 2019.
[27]	RINEHART J S. Some quantitative data bearing on the scabbing of metals under explosive attack [J]. Journal of Applied Physics, 1951, 22(5): 555–560. DOI: 10.1063/1.1700005.
[28]	LEE E H, SYMONDS P S, PROVIDENCE R I. Large plastic deformations of beams under transverse impact [J]. Journal of Applied Mechanics, 1952, 19(3): 308–314.
[29]	NONAKA T. Some interaction effects in a problem of plastic beam dynamics. Part 1: interaction analysis of a rigid, perfectly plastic beam [J]. Journal of Applied Mechanics, 1967, 34(3): 623–630. DOI: 10.1115/1.3607753.
[30]	WANG L L, JONES N. An analysis of the shear failure of rigid-linear hardening beams under impulsive loading [J]. Acta Mechanica Sinica, 1996, 12(4): 338–348. DOI: 10.1007/BF02487799.
[31]	NONAKA T. Shear failure of a steel member due to a blast [J]. International Journal of Impact Engineering, 2000, 24(3): 231–238. DOI: 10.1016/S0734-743X(99)00158-X.
[32]	WANG L L. A criterion of thermo-viscoplastic instability for adiabatic shearing [C] // ZHENG Z M. Proceedings of the International Symposium on Intense Dynamic Loading and its Effects. Beijing: Science Press, 1986: 787−792.
[33]	王礼立. 绝热剪切——材料在冲击载荷下的本构失稳 [C] // 王礼立, 余同希, 李永池. 冲击动力学进展. 合肥: 中国科技大学出版社, 1992: 3−33.
[34]	LI Q M, JONES N. Shear and adiabatic shear failures in an impulsively loaded fully clamped beam [J]. International Journal of Impact Engineering, 1999, 22(6): 589–607. DOI: 10.1016/S0734-743X(99)00013-5.
[35]	CHEN X W, LI Q M, FAN S C. Initiation of adiabatic shear failure in a clamped circular plate struck by a blunt projectile [J]. International Journal of Impact Engineering, 2005, 31(7): 877–893. DOI: 10.1016/j.ijimpeng.2004.04.011.