A Three-Dimensional Constitutive Model for Rocks Based on a Strain-Dependent Elastic Modulus

Author:

Li Z.1ORCID,Fujii Y.1,Kodama J.1,Fukuda D.1ORCID,Dassanayake A. B. N.2,Sinkala P.1

Affiliation:

1. 1 Rock Mechanics Laboratory Division of Sustainable Resources Engineering Graduate School of Engineering Hokkaido University Sapporo 060-8628 Japan hokudai.ac.jp

2. 2 Department of Earth Resources Engineering University of Moratuwa Moratuwa 10400 Sri Lanka mrt.ac.lk

Abstract

Abstract Our research group previously proposed a simple two-dimensional (2D) constitutive model for rocks to simulate not only the axial stress–axial strain relationship, but also the axial stress–lateral strain relationship, with few complicated equations. However, the failure envelope that it predicted was linear, and it did not consider the effect of the intermediate principal stress (σ2). In the present study, the authors modify this simple 2D model to have a convex failure criterion. Then, the model is extended to a simple three-dimensional (3D) model that well approximates true triaxial stress–strain curves for real rocks under specific values of σ2 and σ3 and uses only four parameters. However, the predicted peak stress–σ2 relationship is linear. Finally, a modified 3D model was developed, which exhibited the true triaxial convex failure criterion. The equations in this model are simpler than the conventional true triaxial failure criteria. The proposed models can be implemented with a finite element method to improve the design of rock structures.

Funder

China Scholarship Council

Ministry of Education, Culture, Sports, Science and Technology

Publisher

GeoScienceWorld

Subject

Geology

Reference52 articles.

1. An improved numerical integration algorithm for elastoplastic constitutive equations;Cecilio;Computers and Geotechnics,2015

2. Elastic/viscoplastic constitutive equations for rock;Cristescu;International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1987

3. Determination of nonassociated constitutive equation for rock salt from experiments;Cristescu;Finite Inelastic Deformations—Theory and Applications,1991

4. Constitutive model with strain softening;Frantziskonis;International Journal of Solids and Structures,1987

5. Constitutive model for inherent anisotropic rocks: ubiquitous joint model based on the hoek-brown failure criterion;Ismael;Computers and Geotechnics,2019

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3