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A Coupled Elastic–Viscoplasticity–Damage Model for Porous Rocks Within Thermodynamic Framework.

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Title: A Coupled Elastic–Viscoplasticity–Damage Model for Porous Rocks Within Thermodynamic Framework.
Authors: Ma, Jianjun1,2,3 (AUTHOR), Huang, Weizhen1,2 (AUTHOR), Lin, Yuexiang1,2 (AUTHOR), Huang, Linchong1,2 (AUTHOR) hlinch@mail.sysu.edu.cn
Source: Rock Mechanics & Rock Engineering. Mar2026, Vol. 59 Issue 3, p3693-3712. 20p.
Subject Terms: *Viscoplasticity, *Damage models, *Thermodynamics, *Soil creep, *Strains & stresses (Mechanics), *Porous materials, *Deterioration of materials
Abstract: A coupled elastic–viscoplasticity–damage model is developed for the description of rate/time-dependent behaviors of porous rocks. This is achieved by applying the thermodynamic framework and the consistency condition of viscoplasticity, with the consideration of the competitive mechanisms of damage-induced strength degradation and viscoplasticity hardening. The recoverable deformation of porous rocks is captured through a stress-dependent function, with porosity, damage, and mean effective stress being accounted. The time-dependent, non-recoverable portion of deformation is reproduced by applying the consistent framework of viscoplasticity theory. The degradation of strength has been captured by a damage evolution law, which is formulated based on the damage strain energy release rate, with viscoplasticity hardening, strain rate, and stress state being considered. All parameters employed in this model can be obtained through conventional experiments, details of each material parameter have been discussed. The model is validated by comparing model simulations with experimental results for porous rocks under various loading conditions. Good agreement between modeling results and experimental data from the literature demonstrates the capacity of the proposed model. The competitive mechanisms of viscoplasticity hardening and damage induced strength degradation have been demonstrated based on the modeling results of rock under different confinements and various deviatoric stress levels. This also highlights the contribution of damage to both the tertiary creep and strain rate effects of porous rock. Highlights: A coupled elastic–viscoplasticity–damage model is developed within thermodynamic framework. The competitive mechanisms of viscoplasticity hardening and damage induced strength degradation have been accounted. A smooth transition from viscoplasticity–damage to conventional plasticity–damage can be ensured. Both the transient and tertiary creep-damage responses have been captured. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
Description
Abstract:A coupled elastic–viscoplasticity–damage model is developed for the description of rate/time-dependent behaviors of porous rocks. This is achieved by applying the thermodynamic framework and the consistency condition of viscoplasticity, with the consideration of the competitive mechanisms of damage-induced strength degradation and viscoplasticity hardening. The recoverable deformation of porous rocks is captured through a stress-dependent function, with porosity, damage, and mean effective stress being accounted. The time-dependent, non-recoverable portion of deformation is reproduced by applying the consistent framework of viscoplasticity theory. The degradation of strength has been captured by a damage evolution law, which is formulated based on the damage strain energy release rate, with viscoplasticity hardening, strain rate, and stress state being considered. All parameters employed in this model can be obtained through conventional experiments, details of each material parameter have been discussed. The model is validated by comparing model simulations with experimental results for porous rocks under various loading conditions. Good agreement between modeling results and experimental data from the literature demonstrates the capacity of the proposed model. The competitive mechanisms of viscoplasticity hardening and damage induced strength degradation have been demonstrated based on the modeling results of rock under different confinements and various deviatoric stress levels. This also highlights the contribution of damage to both the tertiary creep and strain rate effects of porous rock. Highlights: A coupled elastic–viscoplasticity–damage model is developed within thermodynamic framework. The competitive mechanisms of viscoplasticity hardening and damage induced strength degradation have been accounted. A smooth transition from viscoplasticity–damage to conventional plasticity–damage can be ensured. Both the transient and tertiary creep-damage responses have been captured. [ABSTRACT FROM AUTHOR]
ISSN:07232632
DOI:10.1007/s00603-025-04997-5