An improved constitutive model for rock creep

KANG Yong-gang; ZHANG Xiu-e

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An improved constitutive model for rock creep

更新时间：2026-06-25

- An improved constitutive model for rock creep
- Vol. 35, Issue 4, (2014)
- 作者机构：
  
  防灾科技学院基础课教学部,河北,三河,065201
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：18 April 2014，
  
  Published：2014
- 稿件说明：
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KANG Yong-gang, ZHANG Xiu-e. An improved constitutive model for rock creep[J]. 2014, 35(4).
DOI：

KANG Yong-gang, ZHANG Xiu-e. An improved constitutive model for rock creep[J]. 2014, 35(4). DOI：

摘要

岩石的蠕变曲线通常可以分为衰减蠕变、稳态蠕变和加速蠕变3个阶段。经典的岩石蠕变模型通常包含牛顿黏壶而不是非牛顿黏壶，它们不能描述岩石整个蠕变过程。提出一种改进的岩石蠕变模型，该过程分为3步。首先，用非牛顿黏壶代替Kelvin模型中的牛顿黏壶，给出一种修正的Kelvin模型用来描述衰减蠕变和稳态蠕变。其次，用一种非定常、非牛顿黏壶和塑性体并联的黏塑性体，给出一种经验函数用来描述加速蠕变。再次，用描述瞬时弹性应变的虎克弹簧、修正的Kelvin模型和黏塑性体的串联，给出一种改进的岩石蠕变本构关系及相应的蠕变函数。黏塑性体关闭时，所得蠕变函数可以描述衰减蠕变和稳态蠕变。黏塑性体开启时，蠕变函数可以描述包含加速蠕变在内的3个阶段的岩石蠕变。用给出的蠕变函数拟合了不同应力下的蠕变试验数据，都给出了较好的描述，说明模型具有一定的合理性和适用性。

Abstract

Generally

curves of rock creep include three stages: attenuation creep stage

steady creep stage and accelerated creep stage. The traditional models for rock creep

which always contain Newtonian dashpot rather than non-Newtonian dashpot

couldn’t describe accelerated creep stage. An improved constitutive model for rock creep is proposed; and the method can be divided into three steps. First

traditional Kelvin model is not quantitatively good in description of initial attenuation creep stage and steady state creep stage. A modified Kelvin model using non-Newtonian dashpot is used here in. The power-law creep function is obtained by solving the constitutive relation. Second

the parallel connection of non-Newtonian dashpot and plastomer

whose creep function is power function

is used for description of accelerated creep. Third

by connecting instantaneous elasticity Hooke body

modified Kelvin and nonlinear viscoplastic body in series

a new visco-elastoplastic constitutive relation of rock is proposed. This creep model can describe attenuation creep stage

steady-state creep stage and accelerated creep stage. It is shown that creep testing curves under different conditions are coincident well with the theoretic curves; and the model is reasonable and feasible.

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