运用极限荷载法研究钢筋混凝土板低速侵彻效应

基于不可压缩刚塑性材料模型和滑移线场理论，获得了单一容许速度场条件下刚性弹低速侵彻半无限介质的阻力函数。在此基础上，基于多速度容许场得到了刚性弹侵彻有限厚度靶的三阶段阻力曲线，并提出了震塌与贯穿的临界条件，通过与实验结果、UMIST公式及古比雪夫的对比，验证了本文方法在钢筋混凝土板低速撞击问题中的适用性,分析了弹头形状、冲击因子和钢筋阻力系数等参数对临界震塌(贯穿)厚度的影响。

Response of reinforced concrete slabs to low-velocity projectile impact investigated using upper bound method

Based on the incompressible-rigid-plastic material assumption and the slip line field theory,the resistance function of a rigid projectile penetrating a semi-infinite target at a low velocity was obtained with a single admissible velocity field.A three-stage resistance curve of a rigid projectile impacting on a thin target was analyzed under multiple velocity fields,where the critical conditions for scabbing or perforation were calculated.The methods and formulae for local effects on reinforced concrete slab under low-velocity impact were further verified using comparative analysis of the results from the experiments,the UMIST formulae,the Kuibyshev formulae,and the present paper's calculations.The relationships between the normalized critical scabbing/perforation thickness,and the nose-shape factor,the impact factor and the reinforcement factor were examined to present potential guide to experimental studies.