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
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
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