TAN Z , ZHANG W , CHO C , et al. Failure mechanisms of concrete slab-soil double-layer structure subjected to underground explosion [J ] . Shock Waves , 2014 , 24 ( 5 ): 545 - 551 . DOI: 10.1007/s00193-014-0518-3 http://doi.org/10.1007/s00193-014-0518-3 http://link.springer.com/10.1007/s00193-014-0518-3 http://link.springer.com/10.1007/s00193-014-0518-3

汪洋 . 浅埋爆炸应力波在层状介质中传播规律的计算分析 [D ] . 南京 : 南京理工大学 , 2019 .

WANG Y . Calculation and analysis of the propagation law of shallow explosion stress wave in layered medium [D ] . Nanjing : Nanjing University of Science & Technology , 2019 . (in Chinese)

岳松林 , 邱艳宇 , 范鹏贤 , 等 . 岩石中爆炸成坑效应的模型试验方法及对比分析 [J ] . 岩石力学与工程学报 . 2014 , 33 ( 9 ): 32 - 47 .

YUE S L , QIU Y Y , FAN P X , et al. Modeling experiment methods for cratering effects of explosions in rocks and comparative analysis [J ] . Chinese Journal of Rock Mechanics and Engineering , 2014 , 33 ( 9 ): 32 - 47 . (in Chinese)

卢浩 , 岳松林 , 孙善政 , 等 . 混凝土靶侵爆条件下破坏深度的模型实验研究 [J ] . 爆炸与冲击 , 2021 , 41 ( 7 ): 80 - 87 .

LU H , YUE S L , SUN S Z , et al. Model test study on damage depth of concrete target under penetration and explosion [J ] . Explosion and Shock Waves , 2021 , 41 ( 7 ): 80 - 87 . (in Chinese)

王晋平 , 刘彦 , 段卓平 , 等 . 带壳装药混凝土中爆炸震塌效应研究 [J ] . 兵工学报 , 2014 , 35 ( 增刊2 ): 80 - 87 .

WANG J P , LIU Y , DUAN Z P , et al. Collapse effect of concrete under internal explosion of shelled charge [J ] . Acta Armamentarii , 2014 , 35 ( S2 ): 80 - 87 . (in Chinese)

MANDAL J , GEOL M , AGARWAL A K , et al. Surface and buried explosions: an explorative review with recent advances [J ] . Archives of Computational Methods in Engineering , 2021 , 28 ( 7 ): 50 - 60 .

LU Y , XU K . Modelling of dynamic behaviour of concrete materials under blast loading [J ] . International Journal of Solids and Structures , 2004 , 41 ( 1 ): 4815 - 4835 .

WESTINE P S . Bomb crater damage to runways [R ] . NM, US: Air Force Weapons Laboratory , 1973 .

王清洁 , 顾文彬 , 夏卫国 , 等 . 多层介质中爆炸破坏效应的实验研究 [J ] . 工程爆破 , 2003 ( 2 ): 7 - 11 .

WANG Q J , GU W B , XIA W G , et al. An experimental study on damage effect caused by an explosion in multilayer medium [J ] . Engineering Blasting . 2003 ( 2 ): 7 - 11 . (in Chinese)

周宁 , 任辉启 , 沈兆武 , 等 . 弹丸在多层复合介质中的爆炸破坏效应研究 [J ] . 中国工程科学 , 2006 ( 8 ): 56 - 60 .

ZHOU N , REN H Q , SHEN Z W , et al. Experimental study on the damage effect of projectile explosive in multi-layer medium [J ] . Strategic Study of CAE , 2006 ( 8 ): 56 - 60 . (in Chinese)

江增荣 , 纪君 , 周邦大 , 等 . 装药量及炸点深度对反跑道侵爆战斗部毁伤效应影响 [J ] . 弹道学报 , 2011 , 23 ( 2 ): 101 - 105 .

JIANG Z R , JI J , ZHOU B D , et al. Influence of charge weight and blast depth on damage effect of anti-runway penetration-explosion warhead [J ] . Journal of Ballistics , 2011 , 23 ( 2 ): 101 - 105 . (in Chinese)

江增荣 , 李世才 , 李向荣 . 炸点深度对侵爆战斗部毁伤效果影响数值模拟 [J ] . 兵工学报 , 2010 , 31 ( 增刊1 ): 28 - 32 .

JIANG Z R , LI S C , LI X R . Numerical simulation for influence of blast depth on damage effects of penetrating-exploding tandem submunition [J ] . Acta Armamentarii , 2010 , 31 ( S1 ): 28 - 32 . (in Chinese)

HU D , LONG T , LIU C H , et al. Swelling movement induced by underground explosion of aluminized explosive in multilayered compact material [J ] . International Journal of Rock Mechanics and Mining Sciences , 2014 , 71 : 330 - 339 . DOI: 10.1016/j.ijrmms.2014.07.016 http://doi.org/10.1016/j.ijrmms.2014.07.016 https://linkinghub.elsevier.com/retrieve/pii/S1365160914002111 https://linkinghub.elsevier.com/retrieve/pii/S1365160914002111

WANG M Y , QIU Y Y , YUE S L . Similitude laws and modeling experiments of explosion cratering in multi-layered geotechnical media [J ] . International Journal of Impact Engineering , 2018 , 117 : 32 - 47 . DOI: 10.1016/j.ijimpeng.2017.11.018 http://doi.org/10.1016/j.ijimpeng.2017.11.018 https://linkinghub.elsevier.com/retrieve/pii/S0734743X17301987 https://linkinghub.elsevier.com/retrieve/pii/S0734743X17301987

高一涵 . 爆炸荷载作用下机场跑道毁伤效应研究 [D ] . 哈尔滨 : 哈尔滨工程大学 , 2020 .

GAO Y H . Research on damage effect of airport runway under blast loading [D ] . Harbin : Harbin Engineering University , 2020 . (in Chinese)

WANG C , NING J G . Numerical simulation on damage effect of explosion in multilayer mediums and dimensional analysis [J ] . Key Engineering Materials , 2007 , 348/349 : 501 - 504 . DOI: 10.4028/www.scientific.net/KEM.348-349 http://doi.org/10.4028/www.scientific.net/KEM.348-349 https://www.scientific.net/KEM.348-349 https://www.scientific.net/KEM.348-349

谢述春 , 姜春兰 , 王在成 , 等 . 多层混凝土介质内爆炸相似性分析 [J ] . 兵工学报 , 2019 , 40 ( 6 ): 1198 - 1206 . DOI: 10.3969/j.issn.1000-1093.2019.06.010 http://doi.org/10.3969/j.issn.1000-1093.2019.06.010 为了研究多层混凝土介质内爆炸相似律，基于量纲分析法建立了多层混凝土介质内爆炸相似模型。利用有限元分析软件LS-DYNA分析了装药深度和缩尺比例对原型和缩比模型毁伤形态及毁伤效应参量相似性的影响，并以梯恩梯和含铝炸药进行原型和缩尺比例为1/2的缩比模型内爆炸毁伤相似性试验。结果表明：不同装药深度下的原型与缩比模型的毁伤形态相同，毁伤效应参量符合相似规律；靶板边界约束相同时，含铝炸药在原型和缩尺比例为1/2的缩比模型内爆炸毁伤具有相似性，缩比毁伤效应参量归一化后与原型的偏差在8%以内；随着缩尺比例的减小，毁伤效应参量与原型的偏离程度增大，可选用适当缩尺比例的缩比模型试验结果预测原型的内爆炸毁伤效应。

XIE S C , JIANG C L , WANG Z C , et al. Analysis of similarity law of explosion in multi-layer concrete medium [J ] . Acta Armamentarii , 2019 , 40 ( 6 ): 1198 - 1206 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2019.06.010 http://doi.org/10.3969/j.issn.1000-1093.2019.06.010 A similarity model of internal explosion in multilayer concrete is established based on dimensional analysis for researching the similarity law of explosion in multilayer concrete. The influences of charge depth and scale ratio on the similarity of damage pattern and damage parameters of prototype and scale model were analyzed by LS-DYNA code. The similarity tests of internal explosion damages of TNT and aluminized explosive were carried out in the prototype and the scale model with scale ratio of 1/2. The results show that the damage patterns of prototype and scale model are the same at different charge depths. When the boundary constraint of a target is the same, the damage of aluminized explosive is similar in the prototype and the 1/2 reduced-scale model. After the normalization of scaled damage parameters, the deviation of the prototype is less than 8%. The deviation degree between the damage parameters of reduced-scale model and prototype is increased with the decrease in scale ratio. The damage effect of internal explosion of the prototype can be predicted by using the test results of appropriate scale ratio model. Key

WANG J . Simulation of landmine explosion using ls-dyna3d software: benchmark work of simulation of explosion in soil and air [R ] . Australia: Weapons Systems Division Aeronautical and Maritime Research Laboratory , 2001 .

LEE E , FINGER M , COLLINS W . JWL Equation of state coefficient for high explosives [R ] . Livermore, CA, US: Lawrence Livermore National Laboratory , 1973 .

梁斌 , 钱立新 , 任时成 . 装药埋深对机场跑道爆破效应影响数值模拟 [J ] . 弹箭与制导学报 , 2011 , 31 ( 3 ): 101 - 104 .

LIANG B , QIAN L X , REN S C . Numerical simulation of influence of blasting depth on ranway damage effect [J ] . Journal of Projectiles,Rockets,Missiles and Guidance , 2011 , 31 ( 3 ): 101 - 104 . (in Chinese)

梁斌 , 钱立新 , 任时成 . 炸药装药在机场跑道中爆破效应数值模拟 [J ] . 弹箭与制导学报 , 2012 , 32 ( 2 ): 60 - 64 , 68.

LIANG B , QIAN L X , REN S C . Numerical simulation of damage effect for runway subjected to explosive loading [J ] . Journal of Projectiles, Rockets, Missiles and Guidance , 2012 , 32 ( 2 ): 60 - 64 , 68. (in Chinese)

HOFF G . A concept for rapid repair of bomb-damaged runways using regulated-set cement: C-75-2 [R ] . Vicksburg, MS, US:U.S. Army Engineer Waterways Experiment Station Concrete Laboratory , 1975 : 159 .

于继来 . 穿甲爆破弹侵彻多层复合目标及毁伤效应研究 [D ] . 沈阳 : 沈阳理工大学 , 2021 .

YU J L . Research on penetration and damage effect of armor piercing explosive projectile into multi-layer composite target [D ] . Shenyang : Shenyang Ligong University , 2021 . (in Chinese)

舒自桓 , 于龙 , 隋希元 , 等 . 军用机场水泥混凝土道面使用质量评定标准:GJB 2264—1995 [S ] . 北京: 总装备部军标出版发行部 , 1995 .

SHU Z H , YU L , SUI X Y , et al. Evaluation standard of maintenance management for cement concrete pavement of military airfield: GJB 2264—1995 [S ] . Beijing: Military Standard Publishing and Distribution Department of General Equipment Department , 1995 . (in Chinese)

LIVINGSTON C . Fundamental concepts of rock failure [J ] . Quarterly of the Colorado School of Mines , 1956 , 51 ( 3 ): 1 - 11 .

张学工 . 关于统计学习理论与支持向量机 [J ] . 自动化学报 , 2000 ( 1 ): 36 - 46 .

ZHANG X G . Introduction to statistical learning theory and support vector machines [J ] . Acta Automatica Sinica , 2000 ( 1 ): 36 - 46 . (in Chinese)

刘志刚 , 李德仁 , 秦前清 , 等 . 支持向量机在多类分类问题中的推广 [J ] . 计算机工程与应用 , 2004 ( 7 ): 10 - 13 , 65.

LIU Z G , LI D R , QIN Q Q , et al. An analytical overview of methods for multi-category support vector machines [J ] . Computer Engineering and Applications , 2004 ( 7 ): 10 - 13 , 65. (in Chinese)