A Novel Elastoplastic Damage Model for Hard Rocks under True Triaxial Compression: Analytical Solutions and Numerical Implementation
Publication: International Journal of Geomechanics
Volume 23, Issue 2
Abstract
In this work, a novel elastoplastic damage model is proposed to capture the mechanical and deformation behaviors of hard rocks subjected to true triaxial compression (TTC). A yield function based on the Mogi–Coulomb strength criterion is constructed in the stress space. Generalized plastic shear strain as a function of a continuous and smooth hardening or softening variable is adopted in the yield function; this guarantees that the yield function at the peak stress level has the same form as the strength criterion. Moreover, a proper damage criterion is derived, considering the development of microcrack-induced damage. The novelty of the proposed model consists in the ability to derive its analytical solutions under a novel TTC loading with a constant load angle; this is helpful for calibrating the model parameters. For application, an efficient and convergent semi-implicit return mapping (SIRM) algorithm involving a plasticity-damage decoupling correction procedure is then developed for the numerical implementation of the proposed model under general loading cases. The robustness of the SIRM algorithm is examined through comparisons between numerical results and the derived analytical solutions. An interesting observation is that, for the SIRM algorithm, plasticity and damage evolution are insensitive to the size of the load step. The verification of the model is finally shown through applications to Westerly and Linghai granite under a typical TTC loading path.
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Acknowledgments
This study was jointly supported by the National Natural Science Foundation of China (Grant No. 42001053), China Postdoctoral Science Foundation funded projects (Grant Nos. 2020M682707, 2021T140219), and the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2019A1515110626)
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Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 23 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Mar 18, 2022
Accepted: Aug 29, 2022
Published online: Nov 16, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 16, 2023
ASCE Technical Topics:
- Algorithms
- Analysis (by type)
- Compressive strength
- Continuum mechanics
- Damage (material)
- Deformation (mechanics)
- Design (by type)
- Elastoplasticity
- Engineering fundamentals
- Engineering mechanics
- Geomechanics
- Geotechnical engineering
- Load factors
- Material mechanics
- Material properties
- Materials characterization
- Materials engineering
- Mathematics
- Models (by type)
- Numerical analysis
- Numerical models
- Rock mechanics
- Solid mechanics
- Strength of materials
- Structural design
- Structural mechanics
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