Close-Range Blast Resistance and Analytical Methods of Polyurea Coated Masonry Infill Walls with Built-in Tie Reinforcement
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摘要: 为研究在近距离爆炸载荷作用下内置拉结筋聚脲涂覆砌体填充墙的动力响应过程、毁伤特征和破坏模式，对不同聚脲涂覆方式和涂覆厚度的砌体墙进行了近距离空爆试验，结合LS-DYNA软件开展了数值模拟研究，基于砖墙、钢筋和聚脲涂层的抗力函数建立了改进的等效单自由度理论计算模型。等效单自由度模型可以准确地描述内置拉结筋涂覆聚脲加固墙体在近场爆炸载荷作用下的位移响应过程。在近场爆炸工况下，根据墙体的面外响应特征，总结出3种近场爆炸破坏模式：表面砂浆层损伤、开坑位错及背面鼓包、贯穿损伤。随着拉结筋数量的增加，墙体的抗爆性能增强，临界贯穿破坏装药量增多。Abstract: In order to investigate the dynamic response process, damage characteristics and damage mode of polyurea coated masonry infill walls with built-in tie reinforcement under close-range explosion load, a series of close-range explosion tests were performed on masonry wall with different polyurea coating methods and thicknesses. Additionally, numerical studies were carried out using the LS-DYNA software. Based on the resistance function of the brick wall, steel bar and polyurea coating, an improved equivalent single degree of freedom (ESDOF) theoretical calculation model was established. This model can accurately describe the displacement response of the polyurea coated masonry infill walls with built-in tie reinforcement under close-range explosion load. Three damage modes: surface mortar layer damage, open pit dislocation with back bulge, and penetration damage were identified according to the wall’s out-of-face response characteristics during close-range explosion load. With the increase of the number of tension reinforcement, the anti-explosion performance of the wall improves and the critical penetration damage charge increases.
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图 1 填充墙内拉结筋布置示意图（单位：m）
Figure 1. Schematic diagram of tie bars in the infill walls (Unit: m)
图 2 试验装置的迎爆面 (a) 和背爆面 (b)
Figure 2. Blast face (a) and back-blast face (b) of the test setup
图 6 工况 J-3的试验结果与数值模拟结果对比
Figure 6. Comparison of test and simulation result for Case J-3
图 11 工况J-2的试验、数值模拟和ESDOF计算结果对比
Figure 11. Comparison of test, simulation and ESDOF results for Case J-2
图 16 拉结筋数量与贯穿损伤的临界TNT药量关系
Figure 16. Relationship between the number of tie reinforcement and the critical mass of TNT charge for penetration damage
表 1 试验工况
Table 1. Test conditions
Test Rebar pieces Polyurea layer thickness/mm TNT mass/kg Blast distance/m Blast face Back-blast face J-1 14 3 3 14 1.4 J-2 14 0 5 14 1.4 J-3 14 0 5 14 1.0 
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表 2 聚脲材料参数
Table 2. Material parameters of polyurea
$E/{\text{MPa}}$ $ \nu $ $ \rho /(\text{g}\cdot {\text{cm}}^{{-3}}) $ $ \sigma\mathrm{_Y}/\text{MPa} $ ${E_{\rm t}}/{\text{MPa}}$ 230 0.4 1.19 1.38 3.5
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表 3 砖块材料参数
Table 3. Material parameters of brick
$ \rho /(\text{g}\cdot {\text{cm}}^{{-3}}) $ $ E/{\text{MPa}} $ $ \nu $ $ \sigma_{\mathrm{bc} {\rm}}/\text{MPa} $ $ R_{\mathrm{m} {\rm}}/\text{MPa} $ 1.8 8200 0.16 15.5 0.775
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表 4 水泥砂浆材料参数
Table 4. Material parameters of mortar
$ \rho /(\text{g}\cdot {\text{cm}}^{{-3}}) $ $ E/{\text{MPa}} $ $ \nu $ $ \sigma\mathrm{_{bc}}/\text{MPa} $ $ R_{\mathrm{m}}/\text{MPa} $ 2.1 4100 0.21 4.9 0.245
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表 5 HRB400钢筋材料参数
Table 5. Material parameters of HRB400 rebar
$ \rho/(\text{kg}\cdot\text{m}^{-3}) $ $ E/{\text{GPa}} $ $ \nu $ $ \sigma_{\mathrm{Y}}/\text{MPa} $ $ E\mathrm{_t}/\text{MPa} $ $ f\mathrm{_s} $ 7800 207 0.3 400 1100 0.092
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表 6 试验与数值模拟结果对比
Table 6. Comparison of test and simulation results
Case Maximum displacement Pit diameter Test/mm Simulation/mm Error/% Test/mm Simulation/mm Error/% J-1 138 134 3.6 J-2 127 130 2.4 J-3 44 42 4.5
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表 7 等效质量系数、等效载荷系数及等效质量载荷系数
Table 7. Equivalent mass, load and mass loading factor
Boundary conditions and load forms Responsive KM KL KLM 
Elasticity 0.50 0.64 0.78 Plasticity 0.33 0.50 0.66 
Elasticity 0.41 0.53 0.77 Elastoplastic 0.50 0.64 0.78 Plasticity 0.33 0.50 0.66
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表 8 数值模拟结果
Table 8. Numerical simulation results
Case Blast distance/m TNT mass/kg Scaled distance/(m·kg−1/3) Back polyurea thickness/mm Damage mode JF-1 1.0 10 0.4642 5 Ⅰ JF-2 1.0 12 0.4368 5 Ⅰ JF-3 1.0 14 0.4149 5 Ⅱ JF-4 1.0 16 0.3969 5 Ⅱ JF-5 1.0 18 0.3816 5 Ⅲ JF-6 1.0 20 0.3684 5 Ⅲ
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表 9 工况设置及数值模拟结果
Table 9. Test conditions and simulation results
Case Blast distance/m TNT mass/kg Rebar/pieces Back polyurea thickness/mm Damage mode 1 1.0 14.0 6 5 Ⅱ 2 1.0 15.0 6 5 Ⅲ 3 1.0 15.5 10 5 Ⅱ 4 1.0 16.5 10 5 Ⅲ 5 1.0 18.0 10 5 Ⅲ 6 1.0 17.0 14 5 Ⅱ 7 1.0 18.0 14 5 Ⅲ 8 1.0 18.5 18 5 Ⅱ 9 1.0 19.0 18 5 Ⅱ 10 1.0 19.5 18 5 Ⅲ 11 1.0 20.0 22 5 Ⅱ 12 1.0 21.0 22 5 Ⅲ
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