Establishment and application of parametric geometrical damage model of rocks

ZHANG Chao; BAI Yun

doi:10.16285/j.rsm.2020.0474

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Establishment and application of parametric geometrical damage model of rocks

更新时间：2026-06-25

- Establishment and application of parametric geometrical damage model of rocks
- Vol. 41, Issue 12, Pages: 3899-3909(2020)
- 作者机构：
  
  湖南科技大学岩土工程稳定控制与健康监测湖南省重点实验室,湖南,湘潭,411201
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2020.0474
  CLC： TU452
- Online First：15 January 2021，
  
  Published：2020
- 稿件说明：
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ZHANG Chao, BAI Yun. Establishment and application of parametric geometrical damage model of rocks[J]. 2020, 41(12): 3899-3909.
DOI：

ZHANG Chao, BAI Yun. Establishment and application of parametric geometrical damage model of rocks[J]. 2020, 41(12): 3899-3909. DOI： 10.16285/j.rsm.2020.0474.

摘要

岩石几何损伤模型是建立统计损伤本构模型的重要基础。在岩石变形力学特性基础上对现有岩石几何损伤模型进行了回顾性分析，针对它们难以较好地反映初始损伤特征和峰后变形破坏特征的缺陷与不足，首先，将岩石材料视为由未损伤部分、初始损伤部分和后继损伤部分组成，提出了考虑初始损伤的岩石几何损伤模型；然后，通过探讨Weibull分布参数m和F0对损伤变量变化产生的影响，构建了参数型岩石几何损伤模型，在此基础上建立了应变软化类岩石统计损伤本构模型并进行了修正，给出了模型参数的确定方法；最后，通过模型验证和参数分析表明，修正后模型能够较好地模拟岩石变形破裂全过程，参数l和h对损伤变量变化产生的影响与m和F0等效，解决了现有岩石几何损伤模型存在的共性问题，该模型和方法具有一定的合理性和可行性。

Abstract

The geometrical damage model of rocks is an important basis for the establishment of statistical damage constitutive model. Based on the mechanical properties of rock deformation

the existing geometrical damage models of rock are reviewed and these models have difficulties in considering the initial damage and post peak deformation failure characteristics. The rock mass is composed of the undamaged part

the initial damage part and the subsequent damage part

and a geometrical damage model of rocks considering the initial damage is proposed in this paper. The parametric geometric damage model of rocks is established by studying the influence of Weibull distribution parameters m and F0 on the variation of damage variable. Furthermore

a statistical damage constitutive model of rocks characterized by strain softening is established and modified

and the determination method of model parameters is given. The model verification and parameter analysis show that the modified model can better simulate the whole process of rock deformation and failure. The influences of parameters l and h on damage variable are equivalent to m and F0

which solves the common problems of current rock geometric damage models. It demonstrates that the model and method in this paper are reasonable and feasible.

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