Abstract
Understanding the mechanisms of crack propagation and failure behavior in rocks is fundamental for geotechnical engineering and mining applications. This study employs a coupled damage model based on the Smoothed Particle Hydrodynamics (SPH) method that integrates the Drucker–Prager and Grady–Kipp models. This mixed failure model is then implemented to simulate the crack propagation morphology and failure modes in uniaxial compression tests of flawed rock samples, and validated against multiple experimental observations. The numerical results exhibit good agreement with experimental observations from the literature in terms of the initiation and propagation of tensile and shear fractures, as well as the final failure morphology. Additionally, this work incorporates contact algorithms to simulate the loading plates, thereby better representing the actual experimental conditions encountered in uniaxial compression tests. Furthermore, a comprehensive parametric study is conducted to investigate the influence of key factors, such as pre-flaw geometry, cohesion, friction at the loading plate interface, and discretization parameters, on the simulated fracture processes and mechanical response. The outcomes indicate the proposed coupled damage model within the SPH framework can accurately capture complex fracture patterns and failure mechanisms in uniaxial compression of flawed rocks. This work demonstrates the capability of the SPH-based mixed-mode failure model to provide insights into rock fracture and failure mechanisms.
Highlights
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A coupled damage model integrating the Drucker–Prager and Grady–Kipp criteria within a smoothed particle hydrodynamics (SPH) framework is applied to simulate both shear and tensile failure modes in rocks firstly. The model is validated against more experimental observations, demonstrating the model's ability to reproduce the crack propagation and characteristic stress–strain behavior.
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This work presents a comprehensive parametric study investigating the influence of key factors, such as pre-flaw geometry, cohesion, friction at the loading plate interface, and discretization parameters, on the simulated fracture processes and mechanical response. These systematic investigations provide valuable insights into the governing mechanisms and highlight the importance of proper model calibration for accurate predictions.
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This work incorporates contact algorithms to simulate the loading plates, thereby better representing the actual experimental conditions encountered in uniaxial compression tests. The tensile wing cracks subjected to uniaxial compression, oriented vertically towards the top boundary of the specimen, are successfully captured.
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The related data used to support the findings of this study are included within the article.
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Acknowledgements
The authors want to thank the support of the Sichuan Province key research and development project ( No.2023YFS0438 ), Technology Support Program Project of Guizhou Province (Grant No. [2021] General 341) and Innovation Research 2035 Pilot Plan of Southwest University(SWU-XDPY22003).
Funding
The authors are grateful to Sichuan Province key research and development project via a project: No. 2023YFS0438, Technology Support Program Project of Guizhou Province via a project: Grant No. [2021] General 341, Innovation Research 2035 Pilot Plan of Southwest University via a project: SWU-XDPY22003.
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All authors contributed to the study conception and design. Supervision, Project administration, Funding acquisition and Formal analysis were performed by Man Hu. The first draft of the manuscript was written by Qiuting Tan and all authors commented on previous versions of the manuscript. Coding and Data curation were performed by Qiuting Tan. Software and Resources were performed by Dianlei Feng and Yi Ren. Supervision was performed by Yu Huang. All authors read and approved the final manuscript.
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Hu, M., Tan, Q., Feng, D. et al. Simulation of Rock Crack Propagation and Failure Behavior Based on a Mixed Failure Model with SPH. Rock Mech Rock Eng (2024). https://doi.org/10.1007/s00603-024-04001-6
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DOI: https://doi.org/10.1007/s00603-024-04001-6