Numerical simulation of dynamic response of reinforced masonry wall strengthened with polyurea under gas explosion
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摘要: 为研究燃气爆炸作用下配筋砌体墙的抗爆能力及聚脲对墙体的加固性能，采用LS-DYNA软件，对无配筋砌体墙、配筋砌体墙、聚脲加固无筋砌体墙、聚脲加固配筋砌体墙的抗燃气爆炸性能进行数值模拟，得到了不同墙体在峰值为5、10、20、30 kPa的燃气爆炸荷载作用下的动态响应，并对灰缝竖向配筋增强效果和聚脲加固效果进行了对比分析。结果表明：（1）无筋墙体抗燃气爆炸能力较弱，一般在20 kPa荷载作用下发生不可修复破坏，在30 kPa荷载作用下发生倒塌破坏；（2）在砌体墙灰缝中，竖向配置钢筋和在墙体表面喷涂聚脲均可增强砌体墙的抗爆能力。在20 kPa荷载作用下，各加固墙体跨中峰值位移均较无筋墙体的减小，破坏均较轻，均可修复，其中双面喷涂聚脲加固无筋墙体的抗爆效果最好，其在30 kPa荷载作用下也未发生倒塌破坏，配筋加强和背爆面喷涂聚脲加固的次之；（3）三组聚脲加固配筋墙体均可承受30 kPa燃气爆炸荷载的作用，迎爆面喷涂加固的墙体中间发生开裂，有碎块飞溅，跨中峰值位移最大，背爆面以及双面喷涂加固的墙体两端出现局部破坏，两者墙体基本完整，且双面喷涂的墙体跨中峰值位移最小，说明在灰缝竖向配筋的基础上再双面喷涂聚脲，抗爆加固效果最优，还可以承受更大的燃气爆炸荷载。Abstract: In order to study the anti-explosion ability of reinforced masonry wall and the reinforcement performance of polyurea on the wall, LS-DYNA software was used to numerically simulate the dynamic response of unreinforced masonry wall, reinforced masonry wall, and masonry wall strengthened with polyurea respectively. The anti-gas explosion performance of different walls under gas explosion load with peak value of 5, 10, 20 and 30 kPa was obtained. The reinforcing effect of vertical reinforcement in ash joint and polyurea were compared and analyzed. The results show that: (1) The anti-gas explosion capability of the unreinforced wall is relatively weak, which generally causes irreparable damage under the load of 20 kPa and collapses under the load of 30 kPa. (2) The explosion resistance of the masonry wall can be enhanced by the vertical displacement of rebar in the ash joint and the spraying of polyurea on the wall surface. Under the load of 20 kPa, the peak displacement at mid-span of each reinforced wall is smaller than that of the unreinforced wall, and the damage is lighter, which is repairable. Among them, the anti-explosion effect of double-sided spraying polyurea on unreinforced wall surface is the best, and there is no collapse damage under the load of 30 kPa. The reinforcing effect of vertical reinforcement in ash joint and polyurea spraying on the back surface are the second. (3) The three groups of reinforced walls with polyurea can all withstand 30 kPa gas explosion load. Cracks occur in the middle of the wall strengthened by spraying on the explosive side, fragments splash, the mid-span peak displacement is the largest. Local damage occurs at both ends of the wall strengthened by back side and double-sided spraying, and the walls are basically complete, and the mid-span peak displacement of the wall strengthened by double-side spraying is the smallest. It is shown that spraying polyurea on both sides on the basis of vertical reinforcement in ash joint has the best explosion resistance effect, and can also bear greater gas explosion load. The research results can provide reference for the reinforcement of reinforced masonry wall against gas explosion.
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Key words:
- polyurea /
- reinforced masonry wall /
- gas explosion /
- LS-DYNA
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图 6 试验与模拟的位移时程曲线对比
Figure 6. Comparison of displacement curves between test and simulation
图 15 准静态有效应力-有效塑性应变关系
Figure 15. Relationship between quasi-static effective stress and effective plastic strain
表 1 DWW墙体材料参数
Table 1. Material parameters of wall DWW
材料 ρ/(kg·m−3) E/MPa μ $\sigma_{{\mathrm{b}}} $/MPa $\sigma_{{{\tau}}} $/MPa $\sigma_{{\mathrm{s}}} $/MPa KIC/(N·m−1) τ η 砌块 1150 380 0.15 1.00 0.50 9.0 120 0.03 7.16×105 砂浆 2100 4644 0.25 1.76 0.90 17.6 140 0.03 7.16×105 
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表 2 DWW墙体动态响应及损伤程度表
Table 2. Dynamic response and damage degree of wall DWW
p/kPa $D_{{\mathrm{max}}} $/mm $\sigma_{{\mathrm{b,max}}} $/MPa $ \sigma_{{\mathrm{s,max}}}$/MPa θ/（°） 5 1.99 1.76 3.01 0.1 10 4.25 1.76 6.27 0.2 20 24.80 13.40 20.10 1.0 30 倒塌 10.60 20.20 >13.8
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表 3 钢筋材料参数
Table 3. Reinforcement material parameters
材料 $\rho_{{\mathrm{s}}} $/(kg·m−3) Es/GPa μs $\sigma_{{\mathrm{y}}} $/MPa $E_{{\mathrm{t}}} $/MPa Hp c n εf 钢筋 7800 200 0.3 300 723 1 40 5 0.1
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表 4 DPW墙体动态响应及损伤程度表
Table 4. Dynamic response and damage degree of wall DPW
p/kPa Dmax/mm σb,max/MPa σs,max/MPa σr,max/MPa θ/（°） DPW4 DPW5 DPW4 DPW5 DPW4 DPW5 DPW4 DPW5 DPW4 DPW5 5 1.99 1.99 1.75 1.75 3.01 3.01 6.24 8.07 0.1 0.1 10 4.25 4.24 1.76 1.76 6.21 6.21 35.60 32.00 0.2 0.2 20 21.20 20.70 16.80 15.80 19.90 20.80 410.00 274.00 0.8 0.8 30 倒塌 倒塌 16.00 17.50 24.70 23.20 549.00 503.00 >6.8 >6.9
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表 5 聚脲材料参数
Table 5. Polyurea material parameters
材料 ρj/(kg·m−3) Ej/MPa μj εm N 聚脲 1000 212 0.4 0.5 2
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表 6 DWJ墙体动态响应及损伤程度表
Table 6. Dynamic response and damage degree of wall DWJ
p/
kPaDmax/mm σb,max/MPa σs,max/MPa σp,max/MPa θ/（°） DWJY DWJB DWJS DWJY DWJB DWJS DWJY DWJB DWJS DWJY DWJB DWJS DWJY DWJB DWJS 5 1.94 1.94 1.89 1.75 1.75 1.76 2.94 2.92 2.87 0.437 0.149 0.430 0.1 0.1 0.1 10 4.14 4.15 4.05 1.76 1.75 1.76 6.10 6.07 5.93 0.695 0.468 0.693 0.2 0.2 0.2 20 18.00 21.40 15.70 8.22 7.70 9.41 19.50 19.00 19.00 9.680 11.500 10.000 0.7 0.8 0.6 30 倒塌 倒塌 67.60 10.00 9.66 17.80 19.20 19.70 19.60 11.300 18.00 12.500 >7.3 >6.4 2.6
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表 8 DPJB墙体动态响应及损伤程度
Table 8. Dynamic response and damage of wall DPJB
p/kPa Dmax/mm σb,max/MPa σs,max/MPa σr,max/MPa σp,max/MPa θ/（°） 5 1.94 1.75 2.93 8.4 0.151 0.1 10 4.14 1.76 6.06 31.5 0.467 0.2 20 18.70 13.50 19.80 322.0 7.810 0.7 30 106.00 18.80 20.60 522.0 10.000 4.1
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表 7 DPJY墙体动态响应及损伤程度
Table 7. Dynamic response and damage of wall DPJY
p/kPa Dmax/mm σb,max/MPa σs,max/MPa σr,max/MPa σp,max/MPa θ/（°） 5 1.94 1.75 2.95 7.22 0.437 0.1 10 4.14 1.76 6.08 28.90 0.330 0.2 20 14.30 15.80 19.70 423.00 9.920 0.5 30 128.00 19.00 22.80 492.00 10.100 4.9
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表 9 DPJS墙体动态响应及损伤程度
Table 9. Dynamic response and damage of wall DPJS
p/kPa Dmax/mm σb,max/MPa σs,max/MPa σr,max/MPa σp,max/MPa θ/（°） 5 1.89 1.75 2.87 7.65 0.430 0.1 10 4.04 1.76 5.91 30.60 0.687 0.2 20 13.30 14.00 19.20 289.00 9.790 0.5 30 53.80 17.40 20.70 474.00 11.500 2.1
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