ORIGINAL RESEARCH article
Front. Earth Sci.
Sec. Geohazards and Georisks
Volume 13 - 2025 | doi: 10.3389/feart.2025.1600846
This article is part of the Research TopicNatural Disaster Prediction Based on Experimental and Numerical MethodsView all 13 articles
Energy evolution and damage constitutive model for deep marble under triaxial compression
Provisionally accepted
- 1Faculty of Land Resource Engineering, Kunming University of Science and Technology, Kunming, Yunnan Province, China
- 2China Construction Eighth Bureau Engineering Research Institute, China Construction Eighth Engineering Division (China), pudong, Shanghai, China
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High ground stress in deep mining operations results in rocks exhibiting mechanical properties that differ from those at shallow depths. This study conducted conventional triaxial compression (CTC) tests to elucidate the mechanical behaviors of deep marble under CTC conditions. Initially, it analyzed energy evolution of deep marble under CTC conditions and developed a damage variable (D) expression. Subsequently, we examined impacts of confining pressure (σ3) and D on dissipated energy (Wd) and Poisson's ratio (μ') and proposed an expression for damage energy dissipation rate (U). Finally, based on the first law of thermodynamics, we established a differential equation for energy balance that facilitated the development of a damage constitutive model (DCM) for marble under CTC conditions. This model effectively couples the internal energy and damage within the rock. The results indicated that: (1) the maximum Wd increased with increasing σ3, and the Wd experienced stages of stability, slow growth, steady growth, and slowdown. (2) At a constant σ3, the μ' under loading conditions increased with increasing damage level. However, as rock damage intensified in the residual stage, the growth rate of μ' slowed and subsequently stabilized. (3) The proposed model effectively captures the nonlinear characteristics of stress-strain (SS) curves for deep marble under CTC conditions during the elastic, plastic yield, instability failure, and residual stages. This research offers theoretical insights for stability analysis in deep mining activities.
Keywords: rock mechanics, energy dissipation, Triaxial compression, damage variable, Constitutive model
Received: 27 Mar 2025; Accepted: 18 Apr 2025.
Copyright: © 2025 Hou, Zhou, Zhang and Zhang. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Zonghong Zhou, Faculty of Land Resource Engineering, Kunming University of Science and Technology, Kunming, 650093, Yunnan Province, China
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