基于数值模拟的UHPC侵彻系数修正及别列赞公式优化

Modification of UHPC Penetration Coefficients Based on Numerical Simulation and Optimization of Berezan Formula

摘要:

为系统研究超高性能混凝土（Ultra?High Performance Concrete ，UHPC）抵抗长杆弹体冲击侵彻性能，分析抗压强度对 UHPC 抗侵彻性能的影响，为 UHPC 防护结构的设计提供理论依据和工程指导。采用校正后的 K&C （Karagozian & Case）模型，在 LS?DYNA 有限元软件中对长杆弹体侵彻普通混凝土和超高性能混凝土（UHPC）靶板的过程进行了建模和数值计算。利用经过验证的 K&C 模型参数，进一步开展原型长杆射弹侵彻 UHPC 的数值模拟研究。基于数值模拟的结果对 Berezan 经验公式进行了修正和验证，并将修正的 Berezan 公式与其他常用的经验公式进行对比，结果表明：（1）UHPC 的抗压强度的提高有利于其抗侵彻性能的提升，但这种优势随着抗压强度的提高逐渐减弱；（2）数值模拟结果的可靠性和准确性可通过试验得到的结果数据进行验证，同时得出了强度等级 C100?C200 的 UHPC 侵彻系数 Kq与抗压强度 fc之间的关系，为评估不同强度 UHPC 的抗侵彻性能提供了有价值的参考；（3）通过对比试验结果和其他经验公式，修正后的 Berezan 公式的准确性得到了验证，该公式能够准确预测长杆弹体在 200~700 m/s 着靶速度下侵彻强度等级 C100?C200 的 UHPC 侵彻深度，为 UHPC 防护结构的设计提供有益的指导。

Abstract:

This study aims to systematically investigate the penetration resistance of ultra-high performance concrete (UHPC) against long-rod projectile impacts and analyze the influence of compressive strength on the anti-penetration performance of UHPC, thereby providing a theoretical basis and engineering guidance for the design of UHPC protective structures. Using the calibrated K&C (Karagozian & Case) model, the process of long-rod projectiles penetrating normal concrete and UHPC targets was modeled and numerically simulated in the LS-DYNA finite element software. With the verified K&C model parameters, further numerical simulations of prototype long-rod projectiles into UHPC were carried out. Based on the numerical simulation results, the Berezan empirical formula was modified and verified, and the modified Berezan formula was compared with other commonly used empirical formulas. The results showed that: (1) the increase in compressive strength of UHPC enhanced its anti-penetration performance, but this advantage gradually weakened as compressive strength increased. (2) The reliability and accuracy of the numerical simulation results could be verified using experimental data. Additionally, the relationship between the penetration coefficient Kq and the compressive strength fc for UHPC with strength grades C100-C200 was derived, providing a valuable reference for evaluating the anti-penetration performance of UHPC with different strengths. (3) By comparing the experimental results with other empirical formulas, the accuracy of the modified Berezan formula was verified. This formula could accurately predict the penetration depth of long-rod projectiles into UHPC with strength grades C100-C200 at impact velocities of 200-700 m/s, providing useful guidance for the design of UHPC protective structures.