IMPROVEMENT AND VERIFICATION OF LEAKAGE RATE ANALYSIS MODEL FOR DAMAGED AND CRACKED PRESSURE-BEARING SHELL
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摘要: 承压壳体发生放射性、易燃等危险气体泄漏会对环境造成重大威胁，泄漏状况评估是应急措施优化的必要前提。针对严重事故下的厚壳壁微开裂，建立了一套快速定量的泄漏率分析数值模型。基于流量守恒原理，提出了厚壁结构中多段微裂缝构成变截面通道的泄漏率计算改进模型；采用混凝土塑性损伤模型模拟极限载荷下结构的非线性破坏，通过等参函数实现几何不规则单元与规则空间之间的变换，改进了弥散型微裂缝扩展尺度的计算模型。通过数值算例对比文献中的结果，分别验证了以上两个子模型的稳定性和有效性，并由受损剪力墙的泄漏率分析进一步验证了模型的可行性。最后，将模型应用于抗高温内压损伤过程中的某预应力混凝土复杂承压壳体，结果表明：改进的模型适用于厚壁、带孔道等复杂构造承压结构的泄漏率分析，具有一定的实际工程意义。Abstract: The leakage of radioactive, flammable and other dangerous gases from the pressure-bearing shell would pose a major threat to the environment, and the leakage assessment is a necessary prerequisite for the optimization of emergency measures. Aiming at the micro-cracking of the thick shell wall under severe accidents, an efficient and quantitative analysis numerical model for the leakage rate is established. Based on the principle of flow conservation, an improved model is proposed for calculating the leakage rate through a variable cross-section channel formed by multi-segment micro-cracks in a thick-walled structure. The concrete plastic damage model is applied to simulate the nonlinear damage of the structure under its ultimate load, and the model for calculating the scale of smeared micro-cracks is improved by the transformation between the geometric irregular element and the regular space realized through an isoparametric function. Through numerical examples, the research results were compared with those in the literature. The stability and validity of the above two sub-models are verified separately, and the feasibility of the model is further verified by the leakage rate analysis of the damaged shear wall. Finally, the model is applied to a prestressed concrete complex pressure-bearing shell resisting high temperature and internal pressure damage. The results show that the improved model is suitable for the leakage rate analysis of thick-walled, porous and, other complex pressure-bearing structures, which has a certain practical engineering significance.
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图 7 损伤开裂承压壳体泄漏率分析流程图
Figure 7. Analysis flow chart of leakage rate for damaged cracked pressure-bearing shell
图 12 6层模型中心区域混凝土的损伤状态
Figure 12. Damage status of the concrete in the central area of the 6-layers model
图 13 6层模型中心区域钢筋的受力状态
Figure 13. Stress state of the rebars in the central area of the 6-layers model
图 19 承压壳体壁塑性应变分布
Figure 19. Plastic strain distribution on pressure-bearing shell wall
表 1 环境参数表
Table 1. Environment data sheet
条件编号 $ {高压{{P_1} } / {\rm{kPa} } } $ $ { 低压{{P_2} } /{\rm{kPa} } } $ $ {气温T / ({\text{℃} }) } $ A 117.0 102.2 18.1 B 108.0 102.1 17.3 C 104.0 102.2 17.3 D 105.8 102.4 16.9 E 111.8 102.3 18.0 下载: 导出CSV
表 2 混凝土的材料参数
Table 2. Mechanical parameters of concrete
初始弹性
模量 $ {{{E_{\rm s}}} / {\rm{GPa} }} $泊松比
$ \nu $抗拉强度
$ {{{f_{\rm tk}}}/ {\rm{MPa} }} $抗压强度
$ {{{f_{\rm ck}}} / {\rm{MPa} }} $极限开裂
应变 $ {\varepsilon _{\rm tu}} $$ {\text{20}}{\text{.7}} $ $ 0.{\text{2}} $ $ {\text{1}}{\text{.83}} $ $ {\text{30}}{\text{.6}} $ $ 8.84 \times {10^{ - 5}} $ 表 3 钢筋的材料参数
Table 3. Mechanical parameters of rebars
钢筋类型 弹性模量
${ {E_{\rm s} } / {\rm {GPa} } }$泊松比
$ \nu $屈服强度
$ {{{f_{\rm y}}} / {\rm{MPa} }} $极限强度
$ {{{f_{\rm u}}} / {\rm{MPa} }} $极限应变
$ {\varepsilon _{\rm u}} $水平 $ 200 $ $ 0.3 $ $ 450 $ $ 670 $ $ 0.145 $ 竖向 $ 592 $ $ 841 $ $ 0.113 $ 拉筋 $ 509 $ $ 671 $ $ 0.120 $ -
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