Investigation on the Expression Ability of a Developed Constitutive Model for Rocks Based on Statistical Damage Theory

Author:

Gao Meiben123ORCID,Cui Shenghua2ORCID,Li Tianbin2ORCID,Ma Chunchi2ORCID,Wu Zhongteng3ORCID,Zhang Yan2ORCID,Gao Yang1ORCID,Fu Zhe1ORCID,Zhong Yuyi2ORCID

Affiliation:

1. School of Emergency Management Xihua University Chengdu 610039 Sichuan China xhu.edu.cn

2. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection Chengdu University of Technology Chengdu 610059 China cdut.edu.cn

3. Key Laboratory of Geohazard Prevention of Hilly Mountains Ministry of Natural Resources Fuzhou 350002 Fujian China mnr.gov.cn

Abstract

Abstract The three-parameter Weibull distribution has a strong ability to fit many kinds of experimental data, which provides a solution for using a unified expression to characterize the elastic-brittle, strain softening, elastic-plasticity, and other constitutive behaviors of rocks. Therefore, a statistical damage constitutive model based on three-parameter Weibull distribution was constructed through theoretical analysis and derivation. Its expression ability was verified by combining with the conventional triaxial compression test data of marble. Meanwhile, the application effect of this statistical damage constitutive model on granite and sandstone was analyzed. The results show that the statistical damage constitutive model of rock based on three-parameter Weibull distribution can well express elastic-brittle, elastic-plastic, strain softening behaviors of rock by setting reasonable constitutive parameters, which lays a theoretical foundation for constructing a unified rock constitutive model. Conventional triaxial tests of marble show that with the increasing of confining pressure (σ3= 5, 15, 25, 35 MPa), the plastic deformation increases and the failure mode gradually changes from brittle tensile failure to shear failure, showing brittle-ductile and brittle-plastic transition characteristics. And its constitutive behaviors are characterized by elastic-brittleness, strain softening, and elastic-plasticity, which can be well expressed by the statistical damage constitutive model. When σ3 is 25 and 35 MPa, sandstone samples show elastic-brittle behavior. And for granite samples, they show strain softening behavior when σ3 is 5 MPa. The statistical damage constitutive model is also suitable for describing both sandstone elastic-brittle behavior and granite strain softening behavior. It is concluded that the three-parameter Weibull distribution provides a useful approach to characterize various constitutive behaviors of rock, and the model has a wide potential in numerical simulation for mining engineering, geoengineering, and other rock engineering.

Funder

On-campus Talent Introduction Project at Xihua University

Opening Foundation of Key Laboratory of Geohazard Prevention of Hilly Mountains, Ministry of Natural Resources

Opening fund of State Key Laboratory of Geohazard Prevention and Geoenvironment Protection

National Natural Science Foundation of China

Publisher

GeoScienceWorld

Subject

Geology

Reference31 articles.

1. A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering;Jing;International Journal of Rock Mechanics and Mining Sciences,2003

2. Computing the damage and fracture energy in a coal mass based on joint density;Tahmasebinia;International Journal of Mining Science and Technology,2018

3. A theoretical and experimental study of stress–strain, creep and failure mechanisms of intact coal;Zhang;Rock Mechanics and Rock Engineering,2020

4. Creep law and model of coal under triaxial loading at different gas pressures;Li;Journal of China Coal Society,2018

5. Liquefaction within a bedding fault: understanding the initiation and movement of the Daguangbao landslide triggered by the 2008 Wenchuan Earthquake (Ms = 8.0);Cui;Engineering Geology,2021

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