Numerical Study on Ice-breaking Load Characteristics of Underwater Vehicles

doi:10.12382/bgxb.2024.0358

Abstract

Abstract:

The launching mechanism of submarine-launched missiles under polar underwater environments is studied. The Arbitrary Lagrangian-Eulerian (ALE) method and the smoothed particle hydrodynamics (SPH) method are used to establish the fluid and infinite whole ice models, respectively, based on finite element software, and a plastic compressive tension material model with equation of state is used to reproduce the sensitivity of mechanical properties of ice to stain rate. Consequently, a fluid-structure interaction model of underwater vehicle ice-breaking is built. Based on the validated key numerical methods, the load and collision force characteristics of underwater vehicle under different ice thicknesses and vehicle speed conditions are investigated by simulation. and the stress distributions of vehicle and ice in the process of ice-breaking are analyzed. The result shows that the load and interaction time imposed on the vehicle increase with the increase in ice thickness, and with the increase in vehicle speed, the loads imposed on the vehicle increase, and the interaction time decreases.

Key words: submarine-launched missile, breaking ice out of water, fluid-structure interaction, impact load, smoothed particle hydrodynamics

CLC Number:

TJ76

ZHAO Jie, CAI Xiaowei, WU Xiangqing, JIAO Yanmei, ZHANG Jun, HUANG Da. Numerical Study on Ice-breaking Load Characteristics of Underwater Vehicles[J]. Acta Armamentarii, 2025, 46(5): 240358-.

Figures/Tables 21

References 29

[1]	俞同强, 刘昆, 刘俊杰, 等. 船-冰碰撞中考虑温度影响的冰体材料本构模型研究[J]. 船舶力学, 2023, 27(2): 250-259.
	YU T Q, LIU K, LIU J J, et al. Constitutive model of ice material in ship-ice collision considering temperature effect[J]. Journal of Ship Mechanics, 2023, 27(2): 250-259. (in Chinese)
[2]	WEI P, ZHUANG D, ZHENG Y Y, et al. Temperature and pressure effect on tensile behavior of ice-Ih under low strain rate: a molecular dynamics study[J]. Journal of Molecular Liquids, 2022, 355: 118945.
[3]	许育文, 顾学康, 赵南, 等. 极地船舶冰载荷研究方法综述[J]. 装备环境工程, 2023, 20(9): 26-40.
	XU Y W, GU X K, ZHAO N, et al. Review of investigation methods for ice load on polar ships[J]. Equipment Environmental Engineering, 2023, 20(9): 26-40. (in Chinese)
[4]	吴鸿乾, 张韧, 闫恒乾, 等. 气候变化背景下北极潜艇冰区航行风险评估与实验区划[J]. 指挥控制与仿真, 2021, 43(2): 91-97. doi: 10.3969/j.issn.1673-3819.2021.02.016
	WU H Q, ZHANG R, YAN H Q, et al. Risk division of submarine navigation under the sea ice[J]. Affected by Climate Change Command Control & Simulation, 2021: 43(2): 91-97. (in Chinese)
[5]	曹晶, 王刚. 极地船舶规范及其主要技术发展[J]. 船舶, 2023, 34(1): 61-71.
	CAO J, WANG G. Polar ship rule and its main technical development[J]. Ship & Boat, 2023, 34(1): 61-71. (in Chinese)
[6]	ZHANG S, LIN W, XU H, et al. Dynamic characteristics of an underwater ventilated vehicle exiting water in an environment with scattered ice floes[J]. Journal of Marine Science and Engineering, 2023, 11(11): 2046.
[7]	赵伟航. 典型浮体垂向破冰载荷模拟研究[D]. 北京: 中国舰船研究院, 2023.
	ZHAO W H. Simulation research on ice loading of typical floating vertical icebreaking[D]. Beijing: China Ship Research and Development Academy, 2023. (in Chinese)
[8]	岳军政, 吴先前, 黄晨光. 航行器出水破冰的多场耦合效应与相似律[J]. 力学学报, 2021, 53(7): 1930-1939.
	YUE J Z, WU X Q, HUANG C G. Multi-field coupling effect and similarity law of floating ice break by vehicle launched underwater[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(7): 1930-1939. (in Chinese)
[9]	ZHANG G Y, YOU C, WEI H P, et al. Experimental study on the effects of brash ice on the water-exit dynamics of an underwater vehicle[J]. Applied Ocean Research, 2021, 117: 102948.
[10]	CUI W Z, KONG D C, SUN T Z, et al. Coupling dynamic characteristics of high-speed water-entry projectile and ice sheet[J]. Ocean Engineering, 2023, 275: 114090.
[11]	SODHI D S. Crushing failure during ice-structure interaction[J]. Engineering Fracture Mechanics, 2001, 68(17): 1889-1921.
[12]	JONE S J. High strain-rate compression tests on ice[J]. Journal of Physical Chemistry B, 1997, 101(32): 6099-6101.
[13]	COMBESCURE A, CHUZEL-MARMOT Y, FABIS J. Experimental study of high-velocity impact and fracture of ice[J]. International Journal of Solids and Structures, 2011, 48(20): 2779-2790.
[14]	SONG Z H, CHEN R, GUO D L, et al. Experimental investigation of dynamic shear mechanical properties and failure criterion of ice at high strain rates[J]. International Journal of Impact Engineering, 2022, 166: 104254.
[15]	YU B, LOW Y M. A phenomenological model for simulating ice loads on vertical structures incorporating strain rate-dependent stress-strain characteristics[J]. Applied Mathematical Modelling, 2022, 101: 132-156.
[16]	KIM H, KEDWARD K T. Modeling hail ice impacts and predicting impact damage initiation in composite structures[J]. AIAA Journal, 2000, 38(7): 1278-1288.
[17]	CARNEY K S, BENSON D J, DUBOIS P, et al. A phenomenological high strain rate model with failure for ice[J]. International Journal of Solids & Structures, 2006, 43(25/26): 7820-7839.
[18]	汪春辉, 王嘉安, 王超, 等. 基于S-ALE方法的圆柱体垂直出水破冰研究[J]. 力学学报, 2021, 53(11): 3110-3123.
	WANG C H, WANG J A, WANG C, et al. Research on vertical movement of cylindrical structure out of water and breaking through ice layer based on S-ALE method[J]. Chinese Journal of Theoretical and Applied, 2021, 53(11): 3110-3123. (in Chinese)
[19]	LEE C H, REFACHINHO DE CAMPOS P R, GIL A J, et al. An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity[J]. Computational Particle Mechanics, 2023, 10(6): 1493-1531.
[20]	WU D, ZHANG C, TANG X J, et al. An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics[J]. Computer Methods in Applied Mechanics and Engineering, 2023, 407: 115915.
[21]	CHEN C, SHI W K, SHEN Y M, et al. A multi-resolution SPH-FEM method for fluid-structure interactions[J]. Computer Methods in Applied Mechanics and Engineering, 2022, 401: 115659.
[22]	YANG X, LIANG G Q, ZHANG G Y, et al. A coupled SPH-SPIM solver for fluid-structure interaction with nonlinear deformation[J]. Computer Methods in Applied Mechanics and Engineering, 2024, 427: 117015.
[23]	ANGHILERI M, CASTELLETTI L L, INVERNIZZI F, et al. A survey of numerical models for hail impact analysis using explicit finite element codes[J]. International Journal of Impact Engineering, 2005, 31(8): 929-944.
[24]	ZHANG N B, ZHENG X, MA Q W, et al. A numerical study on ice failure process and ice-ship interactions by Smoothed Particle Hydrodynamics[J]. International Journal of Naval Architecture and Ocean Engineering, 2019, 11(2): 796-808.
[25]	郑兴, 田治宗, 谢志刚, 等. 基于SPH方法的黄河破冰船冰阻力数值模拟分析[J]. 中国舰船研究, 2022, 17(3): 49-57, 84.
	ZHENG X, TIAN Z Z, XIE Z G, et al. Numerical simulation analysis of ice resistance of icebreaker on Yellow River using SPH method[J]. Chinese Journal of Ship Research, 2022, 17(3): 49-57, 84. (in Chinese)
[26]	CHEN Z, HE Y P, GU Y B, et al. A novel method for numerical simulation of the interaction between level ice and marine structures[J]. Journal of Marine Science and Technology, 2021, 26: 1170-1183.
[27]	SODHI D S. Vertical penetration of floating ice sheets[J]. International Journal of Solids & Structures, 1998, 35(31/32): 4274-4294.
[28]	张伟, 郭子涛, 肖新科, 等. 弹体高速入水特性实验研究[J]. 爆炸与冲击, 2011, 31(6): 579-584.
	ZHANG W, GUO Z T, XIAO X K, et al. Experimental investigations on behaviors of projectile high-speed water entry[J]. Explosion and Shock Waves, 2011, 31(6): 579-584. (in Chinese)
[29]	LUO G, ZHANG F Q, CAO W T. Numerical and experimental verification of spherically layered ice model for analysis on hail impacting aviation structures[J]. International Journal of Aerospace Engineering, 2022, 4: 1-21.

应变率/s^-1	比例系数	应变率/s^-1	比例系数
1.0×10^-9	0.270	1.0×10^-2	1.220
1.0×10^-8	0.336	1.0×10^-1	1.520
1.0×10^-7	0.417	1.0×10⁰	1.890
1.0×10^-6	0.520	1.0×10¹	2.348
1.0×10^-5	0.643	1.0×10²	2.910
1.0×10^-4	0.800	1.0×10³	3.620
1.0×10^-3	1.000

应变率/s^-1	比例系数	应变率/s^-1	比例系数
1.0×10^-9	0.270	1.0×10^-2	1.220
1.0×10^-8	0.336	1.0×10^-1	1.520
1.0×10^-7	0.417	1.0×10⁰	1.890
1.0×10^-6	0.520	1.0×10¹	2.348
1.0×10^-5	0.643	1.0×10²	2.910
1.0×10^-4	0.800	1.0×10³	3.620
1.0×10^-3	1.000

参数	空气	水
密度/(kg·m^-3)	1.25	1000
网格数量	51597	512000
网格尺寸/mm	2.5,2.5,3.8	2.5,2.5,3.2
单元类型	Solid ALE	Solid ALE
材料模型	009_NULL	009_NULL
截断压力/MPa	-10	-10
状态方程	LINEAR_POLYNOMIAL	GRUNEISEN

参数	空气	水
密度/(kg·m^-3)	1.25	1000
网格数量	51597	512000
网格尺寸/mm	2.5,2.5,3.8	2.5,2.5,3.2
单元类型	Solid ALE	Solid ALE
材料模型	009_NULL	009_NULL
截断压力/MPa	-10	-10
状态方程	LINEAR_POLYNOMIAL	GRUNEISEN

参数	数值
密度/(kg·m^-3)	7850
网格数量	552
网格尺寸/mm	2.3,2.3,3.1
单元类型	Solid
材料模型	003_MAT_PLASTIC_KINEMATIC
弹性模量/GPa	211
剪切模量/GPa	6
泊松比	0.3
屈服应力/MPa	355