基于单轴应变响应的UHPC板侵彻深度及弹体剩余速度计算方法

PREDICTION METHOD OF PENETRATION DEPTH AND PROJECTILE RESIDUAL VELOCITY OF UHPC BASED ON THE UNIAXIAL STRAIN RESPONSE

  • 摘要: 测试超高性能混凝土(UHPC)高压力学响应是计算其侵彻深度及弹体剩余速度的必要前提。该文采用高强钢设计制作了被动侧向约束应力达800 MPa的单轴应变测试装置,并开展UHPC单轴应变试验,得到了高达1 GPa静水压力范围的静水压力-体积应变和静水压力-等效应力关系。根据试验结果标定UHPC的HJC模型强度面及状态方程参数,并采用LS-DYNA开展UHPC单轴应变试验数值模拟,验证了标定参数。基于标定HJC模型对前期开展的UHPC侵彻试验进行建模分析,开展网格尺寸、侵蚀准则类型及大小敏感性分析,发现具有与侵蚀准则和网格尺寸无关的侵彻深度;采用收敛的有限元模型对428 m/s~1115 m/s弹速范围共28个工况的UHPC侵彻试验进行数值模拟,结果显示标定HJC模型预测的侵彻深度和弹体剩余速度与试验相符。该文建立的基于单轴应变响应的侵彻深度及弹体剩余速度计算方法,对于评估UHPC防护结构抗侵彻能力具有重要价值。

     

    Abstract: Testing the mechanical response of ultra high-performance concrete (UHPC) at high pressure is essential for predicting its penetration depth and residual velocity of the projectile. This study designed and fabricated a uniaxial strain testing device capable of applying passive confining stress of 800 MPa using high strength steel. The uniaxial strain test of UHPC was performed, obtaining the hydrostatic pressure-volumetric strain and the hydrostatic pressure-equivalent stress relations within a high hydrostatic pressure range of 1 GPa. The strength surface and equation of state parameters of the Holmquist-Johnson-Cook (HJC) model were calibrated for UHPC based on test results, which were validated as accurate through simulation of the uniaxial strain test using LS-DYNA. The numerical model of a previous penetration test of UHPC was established using the calibrated HJC model. The parametric analysis of mesh size and erosion criterion reveals that it has a converged penetration depth independent of the erosion criterion or mesh size. The penetration test of UHPC, including 28 scenarios at impact velocities ranging from 428 m/s to 1115 m/s, was simulated using the converged finite element model. It shows that the calibrated HJC model accurately reproduces the penetration depth and residual velocity of the projectile in contrast to experimental observations. The established prediction method based on uniaxial strain response is crucial for assessing the penetration resistance of UHPC protective structures.

     

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