摘要
同时考虑混凝土的压缩和扩容特性,建立了动态柱形空腔膨胀理论,其中完整的靶体响应为密实区-扩容区-开裂区-弹性区,在扩容区采用扩容方程,使用该理论得到了空腔表面应力与膨胀速度的表达式,并使用该式计算得到弹体侵深和加速度.研究结果表明,运用该理论建立的刚性侵彻方程,其计算结果与实验结果具有良好的一致性,模型可以较好描述不同头部形状尖卵形弹体的侵彻能力以及加速度变化趋势.
Considering the compression as well as the dilatation of the concrete,a theory of dynamic cylindrical cavity expansion was proposed,where the complete response of target included densification region,dilatation region,crack region,elastic region,and the dilatantkinematic relation was used in the dilatation region.A relation between the cavity stress and the expansion speed was got based on the theory,and according to the relation both the depth of penetration and the acceleration were calculated.The research indicates that the calculated results based on the theory fit well with the experiment data,and the model can predict the penetration ability and the acceleration of the projectile with CRH=6well.
引文
[1]Bishop R F,Hill R,Mott N F.The theory of indentation and hardness[C]∥Proceeding of the Physical Society.London,England:[s.n.],1945:147-155.
[2]Forrestal M J,Longcope D B,Norwood F R.A model to estimate forces on conical penetrators into dry porous rock[J].J Appl Mech,1981,103(1):25-29.
[3]Longcope D B,Forrestal M J.Closed-form approximations for forces on conical penetrators into dry porous rock[J].J.Appl.Mech,1981,48(4):971-972.
[4]Gabet T,Malécot Y,Daudeville L.Triaxial behaviour of concrete under high stresses:Influence of the loading path on compaction and limit states[J].Cement and Concrete Research,2008,38(3):403-412.
[5]Vua X H,Malecota Y,Daudevillea L,et al.Experimental analysis of concrete behavior under high confinement:Effect of the saturation ratio[J].International Journal of Solids and Structures,2009,46(5):1105-1120.
[6]He Tao,Wen Heming,Guo Xiaojun.A spherical cavity expansion model for penetration of ogival-nosed projectiles into concrete targets with shear-dilatancy[J].Acta Mechanica Sinica,December,2011,27(6):1001-1012.
[7]Guo Xiaojun,He Tao,Wen Heming.Cylindrical cavity expansion penetration model for concrete targets with shear dilatancy[J].J.Eng.Mech.,2013,139(9):1260-1267.
[8]Nikolaevskij V N.Mechanics of porous and fractured media[M].[S.l.]:World Scientific Press,1990.
[9]Vermeer P A.de Borst R.Non-associated plasticity for soils[J].Concrete and Rock,1984,29:1-64.
[10]闪雨,武海军,黄风雷.弹体侵彻混凝土侧壁摩擦阻力研究[J].北京理工大学学报,2012,32(1):12-27.Shan Yu,Wu Haijun,Huang Fenglei.Study on the behavior of projectile shank friction penetrating into concrete[J].Transactions of Beijing Institute ofTechnology,2012,32(1):12-17.(in Chinese)
[11]马兆芳,段卓平,欧卓成,等.尾裙对弹体斜侵彻混凝土薄靶弹道的影响规律研究[J].北京理工大学学报,2015,35(6):576-579.Ma Zhaofang,Duan Zhuoping,Ou Zhuocheng,et al.Investigation on the influence rules of the tapered tail projectile penetration into thin concrete target[J].Transactions of Beijing Institute of Technology,2015,35(6):576-579.(in Chinese)
[12]Li J C,Ma G W,Yu M H.Penetration analysis for geo-material based on unified strength criterion[J].Int J Impact Engng,2008,35:1154-1163.
[13]Forrestal M J,Frew D J,Hickerson J P,et al.Penetration of concrete targets with deceleration-time measurements[J].Int J Impact Eng,2003,28:479-497.
[14]Holmquist T J,Johnson G R,Cook W H.A computational constitutive model for concrete subjected to large strains,high strain rates,and high pressures[C]∥Proceedings of the 14th International Symposium on Ballistics.Québec,Canada:[s.n.],1993.
[15]Wang Y N,Wu H J,Huang F L,et al.Analysis of rigid motion for penetration of concrete[C]∥Proceedings of the 7th International Conference on Shock&Impact Loads on Structures.Beijing:[s.n.],2007:627-638.
[16]Hansson H.Warhead penetration in concrete protective structures[D].Sweden:Royal Institute of Technology,2011.
