Anti-explosion tests and numerical simulations of ultra-high toughness cementitious composites subjected to blast by embedded explosives
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摘要: 为研究超高韧性水泥基复合材料(ultra-high toughness cementitious composites, UHTCC)在内埋炸药爆炸下的抗爆性能和损伤破坏规律,对不同炸药埋深下的UHTCC和高强混凝土(high-strength concrete, HSC)进行了内埋炸药抗爆实验。得到了两种材料靶体的破坏状态,并利用接触爆炸的实验结果计算出了两种材料的抗爆性能参数。结果表明,在相同条件下,UHTCC抗爆性能优于高强混凝土。为了进一步探究UHTCC的抗压强度、抗拉强度以及拉伸韧性对靶体在内埋炸药下抗爆性能的影响,首先,采用改进的K&C模型对炸药埋深为40 mm的超高韧性水泥基复合材料靶体进行数值模拟,模拟结果与实验结果基本吻合,并根据数值模拟的结果得到了爆炸冲击波沿靶体径向衰减速度大于轴向衰减速度这一规律,验证了数值模型的有效性;然后,通过调整改进K&C模型中与抗压强度、抗拉强度以及拉伸韧性相关的参数,数值预测了不同抗压强度、抗拉强度以及拉伸韧性下UHTCC靶体的破坏状态,发现增强UHTCC的韧性可以有效防止靶体发生整体性破坏,增大UHTCC的抗拉强度可以减小靶体迎爆面的开坑直径,增大UHTCC的抗压强度对减小开坑直径效果不明显。
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关键词:
- 超高韧性水泥基复合材料 /
- 内埋炸药 /
- 抗爆性能参数 /
- K&C模型
Abstract: To study the blast resistance and damage rule of ultra-high toughness cementitious composites (UHTCC) subjected to blast by embedded explosives, blast resistance tests of embedded explosives were carried out on UHTCC and high-strength concrete (HSC) with different embedded depths of explosives. The damage patterns of the targets of the two materials were obtained. Using the test results of contact explosion, the blast resistance parameters of the above two materials were calculated. The test results show that UHTCC has better blast resistance than high-strength concrete under the same test conditions. To further explore the influence of compressive strength, tensile strength and tensile toughness on the blast resistance of UHTCC targets to embedded explosives, the improved K&C model was used to numerically simulate the UHTCC target subjected to blast by explosives with an embedded depth of 40 mm. The simulation results were basically consistent with the experimental results. According to the results of numerical simulation, the rule that the attenuation speed of the explosion shock wave along the radial direction of target was greater than that along the axial direction was obtained, which verified the validity of the model. Then, by adjusting the parameters related to the compressive strength, tensile strength and tensile toughness in the modified K&C model, the damage patterns of the UHTCC targets with different compressive and tensile strengths and tensile toughness were predicted. It is found that enhancing the toughness of UHTCC can effectively prevent the target from undergoing overall damage, increasing the tensile strength of UHTCC can reduce the cratering diameter of the blasting surface, and increasing the compressive strength of the material has no obvious effect on reducing the cratering size. These studies can provide a basis for the application of UHTCC materials in protection engineering. -
表 1 PVA纤维的性能指标
Table 1. Performance index of PVA fiber
纤维 直径/μm 长度/mm 弹性模量/GPa 极限应变/% 抗拉强度/MPa 密度/(g∙cm-3) PVA 39 11 40 6 1600 1.3 表 2 UHTCC和HSC混凝土配合比
Table 2. Mix proportions of UHTCC and HSC
材料 含量/kg 胶凝材料 砂子 减水剂 石子 水 PVA UHTCC 1 405 281 2 0 390 26 HSC 451 544 0 1 270 185 0 表 3 基本力学参数
Table 3. Basic mechanical parameters
材料 抗压强度/MPa 抗拉强度/MPa 弹性模量/GPa 泊松比 密度/(kg∙m−3) UHTCC 56.06 4.08 16.75 0.248 1900 HSC 57.32 4.20 32.00 0.190 2270 表 4 UHTCC靶体在不同炸药埋深下的爆炸实验结果
Table 4. Explosion experiment results of UHTCC targets under different depths of explosives
材料编号 h/mm H/mm D/mm N Wmax/mm S/% V/% U-1 0 22.22 93.20 0 0 4.67 99.99 U-2 40 69.80 240.2 7 2.7 29.76 97.19 U-3 80 104.70 212.0 8 2.0 26.11 96.06 U-4 120 100.00 46.38 表 5 HSC混凝土靶体在不同炸药埋深下的爆炸实验结果
Table 5. Explosion test results of HSC concrete targets under different depths of explosives
材料编号 h/mm H/mm D/mm S/% V/% 爆炸后靶体的破坏形态 C-1 0 20.78 129 10.22 98.71 迎爆面形成一个较小的弹坑,无明显的裂缝产生 C-2 40 61.64 28.23 迎爆面损坏严重,背爆面有5条主裂缝,较为明显的震塌现象 C-3 80 100.00 4.84 靶体完全破碎成细小的骨料和一个残留的靶体 C-4 120 100.00 2.98 靶体完全被炸成骨料和一些混凝土块体 表 6 56 MPa 超高韧性水泥基复合材料的K&C模型参数
Table 6. K&C model parameters of 56 MPa ultra-high toughness cementitious composites
状态方程参数 εv1 εv2 εv3 εv4 εv5 εv6 εv7 εv8 εv9 εv10 0 −0.0015 −0.0043 −0.0101 −0.0305 −0.0513 −0.0726 −0.0943 −0.174 −0.208 p1 p2 p3 p4 p5 p6 p7 p8 p9 p10 0.0 1.417×107 3.089×107 4.960×107 9.423×107 1.421×108 2.016×108 3.085×108 1.801×109 2.755×109 k1 k2 k3 k4 k5 k6 k7 k8 k9 k10 9.444×109 9.444×109 9.576×109 1.006×1010 1.197×1010 1.388×1010 1.579×1010 1.724×1010 3.878×1010 4.72×1010 本构模型参数 ρ0 ft v A0y A1y A2y A0 A1 A2 A1f 2 000 4.08×106 0.24 14.44×106 0.7349 5.470×10−9 19.9×106 0.5363 1.443×10−9 0.5363 A2f b1 b2 b3 Ω λ1 λ2 λ3 λ4 λ5 1.443×10−9 2.4 −11.3 0.03 0.5 0 8×10−6 2.4×10−5 4×10−5 5.6×10−5 λ6 λ7 λ8 λ9 λ10 λ11 λ12 λ13 η1 η2 7.2×10−5 8.8×10−5 3.2×10−4 5.2×10−4 5.7×10−4 1.0 100 1×1010 0.0 0.85 η3 η4 η5 η6 η7 η8 η9 η10 η11 η12 η13 0.97 0.99 1.0 0.99 0.97 0.5 0.1 0.0 0.0 0.0 0.0 应变率参数 $\dot \varepsilon $ −100000 −4786 −1737 −631 −380 −229 −138 −83 −50 rf 9.97 9.65 9.28 8.61 8.11 7.49 6.77 5.96 5.12 $\dot \varepsilon $ −30 −18 −11 −4.0 −0.9 −1×10−6 1×10−6 30 50 rf 4.31 3.57 2.94 2.04 1.37 1.0 1.0 1.16 1.26 $\dot \varepsilon $ 83 138 229 380 631 1047 1738 4786 100000 rf 1.41 1.61 1.86 2.13 2.37 2.56 2.70 2.85 2.94 -
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