顾培英,黄勤红,邓昌,汤雷. 基于重整化群的水工混凝土结构整体破坏概率研究[J]. 水利水运工程学报, 2010, (4).
引用本文: 顾培英,黄勤红,邓昌,汤雷. 基于重整化群的水工混凝土结构整体破坏概率研究[J]. 水利水运工程学报, 2010, (4).
GU Pei-ying,HUANG Qing-hong,DENG Chang,TANG Lei. Damage probability of hydraulic concrete structure based on renormalization group theory[J]. Hydro-Science and Engineering, 2010, (4).
Citation: GU Pei-ying,HUANG Qing-hong,DENG Chang,TANG Lei. Damage probability of hydraulic concrete structure based on renormalization group theory[J]. Hydro-Science and Engineering, 2010, (4).

基于重整化群的水工混凝土结构整体破坏概率研究

Damage probability of hydraulic concrete structure based on renormalization group theory

  • 摘要: 在借鉴重整化群理论和局部损伤概率的基础上,形成水工混凝土结构整体破坏概率研究方法.针对单元损伤概率不等的正方体结构,推导了1级原胞损伤概率,再依次确定n级原胞的损伤概率,从而得到结构整体的破坏概率.传统的岩石等概率破碎模型只是针对单元损伤概率相等情况下的一个特例,而该数学模型是一个通式.以某大体积混凝土结构为例,应用所建立的数学模型进行了实例分析.计算结果表明,当单元损伤概率不超过0.7时,结构较为安全,否则结构整体安全性会迅速降低,外界环境一旦恶化,结构极有可能发生垮塌.

     

    Abstract: The method is based on renormalization group theory and damage probability of location.The damage probability of cubical structure is obtained while the damage probability of unit is unequal.First,the damage probability of primitive cell level 1 is derived.Then,the damage probability of primitive cell level n is also derived in their given order.Therefore,the damage probability of the whole concrete structure is determined.The mathematical model is universal.But the model of rock breaking is a special case ...

     

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