ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1643868
This article is part of the Research TopicMathematical Physics Methods and Advanced Materials in Frontier Applications for Underground EngineeringView all articles
Fractional hardening-damage constitutive model of creep characteristics on cemented backfill material under step loading
Provisionally accepted
- Suzhou University, Suzhou, China
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Abstract In order to investigate the combined effects of hardening and damage on the creep behavior of cemented backfill materials, this study introduces a hardening factor into the deformation modulus and integrates the Caputo fractional derivative to construct a novel fractional-order creep constitutive model. The model, based on a modified generalized Kelvin framework, incorporates a hardening function and a fractional dashpot to capture the time-dependent hardening-damage characteristics. Numerical simulations demonstrate the strain evolution under varying stress levels, revealing distinct hardening and damage phases. Key findings include: (1) Under low stress, the model exhibits hardening-dominated behavior with decreasing creep rates, while high stress triggers damage-induced acceleration. (2) Parameter fitting using experimental data (stress levels: 3.06, 4.08, and 5.10 MPa) validates the model's accuracy, with high correlation between predicted and observed creep curves. The proposed model effectively bridges the gap in simulating the full creep process, offering a robust tool for predicting long-term stability in mining backfill applications.
Keywords: fractional calculus, Creep model, cemented backfill, hardening damage effects, Green mining
Received: 09 Jun 2025; Accepted: 10 Sep 2025.
Copyright: © 2025 Feng, Fu and Wang. 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: Yiying Feng, Suzhou University, Suzhou, China
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