岩土破损演化理论(Ⅱ):物理状态指标与分区破损理论

Damage-fracture evolution theory of rock and soil (Ⅱ): physical state indexes and divisional damage-fracture theory

指出当前利用CT数研究岩土力学的所有方法仅为观察研究,浪费了宝贵的CT定量化信息。利用集合论和测度论知识,基于CT数定义了岩土材料的λ水平破损比与λ水平破损率、(λ1-λ2)水平截理比及其截理率的概念,研究了λ水平破损率与CT数及密度的关系;研究了破损产生的位置和破损判据。基于破损空间截理的概念将岩土材料区分为安全区、损伤进行区和破损区,定义了损伤进行区下、上限边界面,给出了强化-弱化准则的定义,建立了岩土体分区破损本构关系,并进一步推导了岩土破损空间理论的基本方程。

This article presents each of the current analytical methods used in rock and soil mechanics through CT number research avail of observation, wasting the precious quantitative information of CT datum. Utilizing the set theory and the measure theory, the concepts of the λ level damage-fracture ratio and the λ level damage-fracture rate, the (λ 1 -λ 2 ) level intercepted section ratio and rate are defined based on the CT number, simultaneously furthering to research the relation among the λ level damage-fracture rate, the CT number and the density. The position and damage-fracture criterion are studied. Based on the conception of the intercepted section in the damage-fracture space, the rock and soil material is classified as the safety zone, the damaging zone and the fractured zone, the upper and the lower boundary surface of the damaging zone are studied. Meanwhile, the paper defining the rules of intensifying and damaging, establishing the rock and soil mass constitutive relation of the divisional damage-fracture space, simultaneously furthering to deduce the basic equations of the rock and soil damage-fracture space theory.