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考虑应力状态的Q345E舰船钢本构/断裂模型与应用

全鑫1,邓希旻2,武海军1*,闫雷3,董恒1,蒋腾1,黄风雷1   

  1. 1. 北京理工大学 爆炸科学与安全防护全国重点实验室, 北京 100081; 2. 宜昌测试技术研究所, 湖北 宜昌 443003;3. 山东特种工业集团有限公司, 山东 淄博 255201
  • 收稿日期:2025-02-11 修回日期:2025-04-18
  • 基金资助:
    国家自然科学基金项目(12072039);国家自然科学基金青年科学基金项目(12202067)

Constitutive/Fracture Model and Application of Q345E Ship Steel Considering Stress State

QUAN Xin1, DENG Ximin2, WU Haijun1 *, YAN Lei3, DONG Heng1, JIANG Teng1, HUANG Fenglei1   

  1. 1. National Key Laboratory of Explosive Science and Safety Protection, Beijing Institute of Technology, Beijing 100081, China; 2. Yichang Testing Technology Research Institute, Yichang 443003, Hubei, China; 3. Shandong Special Industry Group Co., Ltd., Zibo 255201, Shandong, China
  • Received:2025-02-11 Revised:2025-04-18

摘要: 为表征舰用Q345E钢高速冲击条件下的力学响应,开展准静态拉伸、霍普金森压杆实验获得了Q345E钢材料的静、动态力学特性和广应力三轴度范围内的断裂特性,基于Johnson-Cook、Cowper-Symonds模型构建了表征Q345E钢静动态力学行为的JC-CS本构,结合数值仿真获得了各应力三轴度范围内的失效参数,给出了三段式Wierzbicki断裂模型,并采用ABAQUS VUMAT子程序验证了本构及断裂模型的有效性。研究结果表明,Q345E钢具有明显的应变硬化及应变率效应,在动态加载下两类效应相互耦合,提出的JC-CS本构模型能够准确表征该材料从准静态到高应变率范围内的率相关应变硬化和应变率效应。Q345E钢的断裂应变与应力三轴度相关,材料的断裂应变在应力三轴度大于-1/3、小于2的范围内表现出先下降后上升、最终趋于零的形式,应力三轴度趋于-1/3时断裂应变正无穷大。依据材料实验和高速穿甲实验开展的数值仿真计算发现,仿真预测的断口形貌、靶板破坏模式及多层靶穿甲过程与实验结果高度一致,表明建立的JC-CS本构及Wierzbicki断裂模型能够反映Q345E钢的力学特性、失效行为及高速冲击下的响应特征。

关键词: Q345E舰船钢, 静动态力学性能, 本构模型, 断裂模型, 高速穿甲

Abstract: In order to characterize the mechanical response of Q345E steel under high-speed impact conditions, quasi-static tensile and Hopkinson compression experiment were conducted to determine the static and dynamic mechanical properties of Q345E steel as well as its fracture characteristics in wide stress triaxiality. Based on the Johnson-Cook and Cowper-Symonds models, a JC-CS constitutive model was proposed to characterize the static and dynamic mechanical behavior of Q345E steel. The three-stage Wierzbicki failure model and the failure parameters were obtained by experiment and numerical simulation. The ABAQUS-VUMAT subroutine was used to verify the validity of the constitutive and failure model. The results show that Q345E steel has obvious strain hardening and strain rate effects. The two kinds of effects are coupled under dynamic loading, and the proposed JC-CS constitutive model can accurately characterize the rate-dependent strain hardening and strain rate effects in the range from quasi-static to high strain rate. The fracture strain of Q345E steel is related to the stress triaxiality. When the stress triaxiality is greater than -1/3 and less than 2, the fracture strain decreases, increases, and then tends to zero. The fracture strain is infinite when the stress triaxiality tends to -1/3. The numerical simulation results, based on material experiment and high-speed perforation experiment, demonstrate a high level of agreement between the fracture morphology, failure mode of the plates and multi-layer targets perforating predicted by the simulation and the experimental results. This indicates that both the established JC-CS constitutive model and Wierzbicki failure model effectively capture the fracture behavior of Q345E steel as well as its response characteristics under high-speed perforation.

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