基于重整化群方法的三棱柱单元整体破坏概率模型

摘要

The breakage of cube rock can be dealt from the renormalization group method. In general, the form of hydraulic concrete structure is not of the shape of a cube. Therefore, based on the model of cube rock breakage, a model of overall damage probability of triangular prism unit based on renormalization group method was established. The critical value of unit damage probability leading to the overall damage of structure was obtained by analyzing and calculating the fixed point. The results of iterative calculation show that when the number of times of iterative calculation is three,it can satisfy the need of practical engineering. If the probability of overall damage is still great after the third iteration, the unit damage probability is close to the critical value. The model of probability established in this paper can quantitatively evaluate the overall safety of concrete gravity dam.%针对传统的重整化群方法不适合处理一般水工混凝土结构的问题，以正方体单元岩石破碎模型为基础，提出并建立了基于重整化群方法的三棱柱单元混凝土结构整体破坏概率模型，通过不动点计算分析，得到导致结构整体破坏的单元破坏概率临界值。迭代计算结果表明，原胞级数即迭代次数取3即可满足实际工程需要，若3次迭代后整体破坏概率仍较大，则说明单元破坏概率接近临界值，该概率模型可从定量的角度评价混凝土重力坝的整体安全性。