A brittle-ductile transition constitutive model based on 
discrete elastic tensors

FAN Yun-hui; ZHU Qi-zhi; NI Tao; ZHANG Kun; ZHANG Zhen-nan

doi:10.16285/j.rsm.2018.1814

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A brittle-ductile transition constitutive model based on discrete elastic tensors

更新时间：2026-06-25

- A brittle-ductile transition constitutive model based on discrete elastic tensors
- Vol. 40, Issue S1, Pages: 181-188(2019)
- 作者机构：
  
  1. 河海大学岩土工程科学研究所,江苏,南京,210098
  2. 河海大学岩土力学与堤坝工程教育部重点实验室,江苏,南京,210098
  3. 上海交通大学船舶海洋与建筑工程学院,上海,200030
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2018.1814
  CLC： TU452
- Online First：16 August 2019，
  
  Published：2019
- 稿件说明：
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FAN Yun-hui, ZHU Qi-zhi, NI Tao, et al. A brittle-ductile transition constitutive model based on discrete elastic tensors[J]. 2019, 40(S1): 181-188.
DOI：

FAN Yun-hui, ZHU Qi-zhi, NI Tao, et al. A brittle-ductile transition constitutive model based on discrete elastic tensors[J]. 2019, 40(S1): 181-188. DOI： 10.16285/j.rsm.2018.1814.

摘要

外部荷载作用下的裂隙扩展在空间上一般是非均匀的，引起岩石材料的衍生各向异性。将材料离散成大量随机分布的由力键连结的物质点，基于力键的方向性，且将局部弹性张量离散成一定数量的方向张量，理论推导出力键模量与宏观弹性参数之间的关系。通过考虑力键断裂效应，建立了各向异性弹性损伤本构模型。为了模拟中等孔隙率岩石在常规三轴压缩试验中脆性向延性转变的力学行为，在力键断裂效应中引入损伤抑制函数。通过模拟Tennessee大理岩和Indiana石灰岩的常规三轴实验，并与试验数据对比，验证了模型的合理性和有效性。

Abstract

The crack propagation under external load is generally non-uniform in space

which causes derivative anisotropies of the material. In this context

rock materials can be discretized into a large number of randomly distributed material points connected by force bonds. Based on the directionality of the force bonds

the local elasticity tensor is discretized into a certain number of directional tensors

and the relationship between the force bond modulus and the macroscopic parameters is deduced theoretically. An anisotropic elastic damage constitutive model is developed by considering the fracture effect of the force bonds

In order to simulate the mechanical behavior of brittle to ductile transition of medium porosity rocks in conventional triaxial compression tests

a damage suppression function is introduced into force bond fracture effect. The rationality and effectiveness of the model are verified by simulating the conventional triaxial experiments of Tennessee marble and Indiana limestone and comparing with the experimental data.

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