Skip to main content
SpringerLink
Log in

Mechanical response analysis of disintegrated carbonaceous mudstone based on discrete element method

  • Published:
Computational Particle Mechanics Aims and scope Submit manuscript

Abstract

The paper aims to study the mechanical characteristics of disintegrated carbonaceous mudstone in a triaxial stress state from a micro-perspective of particles. Based on the discrete element method (DEM), a spherical-polymer (SP) model that includes three different types of the particles (triangle-like, rectangle-like, and sphere) was proposed and combined the error diagram with R2 to analyze the difference between the SP model and Ball–Ball (BB) model. Meanwhile, a sensitive analysis of micro-mechanical characteristics was carried out, which quantitatively described the sensitivity of different parameters according to stress–strain curves. The processes of deformation and failure for the disintegrated carbonaceous mudstone were finally analyzed based on the displacement diagram of the particle according to the energy theory. The results suggest that the SP model could better reflect the mechanical characteristics of disintegrated carbonaceous mudstone, for the SP models, the correlation coefficient (R2) range was larger than the BB model. From the sensitivity analysis of parameters, the decreasing rate of initial deformation modulus was 56–66% as the stiffness ratio was modified when fixing other factors. The peak strength correlated well with the tensile-shear strength ratio, stiffness ratio, and friction coefficient. The modification of abnormal-shaped particles’ volume fraction ratio could affect the peak shear strength significantly. For the disintegrated carbonaceous mudstone, the processes of deformation and failure were discussed by energy transference which particle elements go from a low-energy state to a high-energy state.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig.7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Akram MS, Sharrock GB (2010) Physical and numerical investigation of a cemented granular assembly of steel spheres. Int J Numer Anal Methods Geomech 18:1896–1934. https://doi.org/10.1002/nag.885

    Article  Google Scholar 

  2. Castro FU, Alejano LR, Arzúa J, Ivars DM (2017) Sensitivity analysis of the micro parameters used in a PFC analysis towards the mechanical properties of rocks. In: ISRM European rock mechanics symposium-EUROCK. https://doi.org/10.1016/j.proeng.2017.05.208

  3. Cheng K, Wang Y, Yang Q, Mo Y, Guo Y (2017) Determination of microscopic parameters of quartz sand through the triaxial test using the discrete element method. Comput Geotech 92:22–40. https://doi.org/10.1016/j.compgeo.2017.07.017

    Article  Google Scholar 

  4. Coetzee CJ, Els DNJ (2009) Calibration of discrete element parameters and the modeling of silo discharge and bucket filling. Comput Electron Agric 2:198–212. https://doi.org/10.1016/j.compag.2008.10.002

    Article  Google Scholar 

  5. Ding X, Zhang L, Zhu H, Zhang Q (2014) Effect of model scale and particle size distributio-n on PFC3D simulation results. Rock Mech Rock Eng 6:2139–2156. https://doi.org/10.1007/s00603-013-0533-1

    Article  ADS  Google Scholar 

  6. Dondi G, Simone A, Vignali V, Manganelli G (2012) Discrete element modeling of influences of grain shape and angularity on performance of granular mixes for asphalts. Procedia Soc Behav Sci 53:399–409. https://doi.org/10.1016/j.sbspro.2012.09.891

    Article  Google Scholar 

  7. Fakhimi A, Villegas T (2007) Application of dimensional analysis in calibration of a discrete element model for rock deformation and fracture. Rock Mech Rock Eng 40(2):193–211. https://doi.org/10.1007/s00603-006-0095-6

    Article  ADS  Google Scholar 

  8. Liu G, Rong G, Hou D, Jun P, Chuang BZ (2016) Fluid-particle coupled model and a numerical investigation on undrained shear behavior of saturated soil. Rock Soil Mech 37(1):210–218. https://doi.org/10.16285/j.rsm.2016.01.02. ((in Chinese))

    Article  CAS  Google Scholar 

  9. Li G, Bodahi F, He T, Luo F, Duan S, Li M (2022) Sensitivity analysis of macroscopic mechanical behavior to microscopic parameters based on PFC simulation. Geotech Geol Eng. https://doi.org/10.1007/s10706-022-02118-5

    Article  Google Scholar 

  10. Li XF, Li HB, Zhao J (2017) 3D polycrystalline discrete element method (3PDEM) for simulation of crack initiation and propagation in granular rock. Comput Geotech 90:96–112. https://doi.org/10.1016/j.compgeo.2017.05.023

    Article  Google Scholar 

  11. Oreskes N, Shrader FK, Belitz K (1994) Verification, validation, and confirmation of numerical models in the earth sciences. Science 263(5147):641–646. https://doi.org/10.1126/science.263.5147.641

    Article  ADS  CAS  PubMed  Google Scholar 

  12. Powrie W, Ni Q, Harkness RM, Zhang X (2005) Numerical modeling of plane strain tests on sands using a particulate approach. Géotechnique 55(4):297–306. https://doi.org/10.1680/geot.2005.55.4.297

    Article  Google Scholar 

  13. Shamsi MM, Mirghasemi AA (2012) Numerical simulation of 3D semireal-shaped granular particle assembly. Powder Technol 221:431–446. https://doi.org/10.1016/j.powtec.2012.01.042

    Article  CAS  Google Scholar 

  14. Sun MJ, Tang HM, Hu XL, Ge YF, Lu S (2013) Microparameter prediction for a triaxial compression PFC3D model of rock using full factorial designs and artificial neural networks. Geotech Geol Eng 31(4):1249–1259. https://doi.org/10.1007/s10706-013-9647-1

    Article  Google Scholar 

  15. Sun Z, Espinoza DN, Balhoff MT (2018) Reservoir rock chemomechanical alteration quantified by triaxial tests and implications to fracture reactivation. Int J Rock Mech Min Sci 106:250–258. https://doi.org/10.1016/j.ijrmms.2018.04.004

    Article  Google Scholar 

  16. Wang S, Chen G, Zhang L, Yuan J (2021) Triaxial discrete element simulation of soil–rock mixture with different rock particle shapes under rigid and flexible loading modes. Int J Geomech 21(8):04021142. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002081

    Article  Google Scholar 

  17. Wan Y, Tonon F (2010) Calibration of a discrete element model for intact rock up to its peak strength. Int J Numer Anal Methods Geomech 34(5):447–469. https://doi.org/10.1002/nag.811

    Article  Google Scholar 

  18. Wu H, Dai B, Zhao G, Chen Y, Tian Y (2020) A novel method of calibrating microscale parameters of PFC model and experimental validation. Appl Sci 10(9):3221. https://doi.org/10.3390/app10093221

    Article  CAS  Google Scholar 

  19. Wu K, Sun W, Liu S, Cai G (2021) Influence of particle shape on the shear behavior of super ellipsoids by discrete element method in 3D. Adv Powder Technol 32(11):4017–4029. https://doi.org/10.1016/j.apt.2021.09.001

    Article  Google Scholar 

  20. Xu JM, Xie ZL, Jia HT (2010) Simulation of mesomechanical properties of limestone using particle flow code. Rock Soil Mech 31(2):390–395. https://doi.org/10.16285/j.rsm.2010.s2.039. (in Chinese)

    Article  Google Scholar 

  21. Xu Z, Wang Z, Wang W, Lin P, Wu J (2022) An integrated parameter calibration method an-d sensitivity analysis of microparameters on mechanical behavior of transversely isotropic roc-ks. Comput Geotech 142:104573. https://doi.org/10.1016/j.compgeo.2021.104573

    Article  Google Scholar 

  22. Yang B, Jiao Y, Lei S (2006) A study on the effects of microparameters on macroproperties for specimens created by bonded particles. Eng Comput. https://doi.org/10.1108/02644400610680333

    Article  Google Scholar 

  23. Yoon J (2007) Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. Int J Rock Mech Min Sci 44(6):871–889. https://doi.org/10.1016/j.ijrmms.2007.01.004

    Article  Google Scholar 

  24. Zeng L, Fu HY, He W, He ZM, Zhou GK (2014) Microscopic test of disintegrated carbonaceous mudstone embankment packing under triaxial CT conditions. J Central S Univ (Natural Science Edition) 45(3):925–931 ((in Chinese))

    Google Scholar 

  25. Zeng L, Liu J, Gao QF, Bian HB (2019) Evolution characteristics of the cracks in the completely disintegrated carbonaceous mudstone subjected to cyclic wetting and drying. Adv Civil Eng. https://doi.org/10.1155/2019/1279695

    Article  Google Scholar 

  26. Zeng L, Yu HC, Gao QF, Bian HB (2020) Mechanical behavior and microstructural mechanism of improved disintegrated carbonaceous mudstone. J Central S Univ 27(7):1992–2002. https://doi.org/10.1007/s11771-020-4425-8

    Article  CAS  Google Scholar 

  27. Zhang X, Li Z, Tai P, Zeng Q, Bai Q (2022) Numerical investigation of triaxial shear beha-viors of cemented sands with different sampling conditions using discrete element method. Materials 15(9):3337. https://doi.org/10.3390/ma15093337

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  28. Zhao GY, Dai B, MaC C (2012) Study of effects of microparameters on macroproperties for parallel bonded model. J Rock Mech Eng 31(7):1491–1498. https://doi.org/10.3969/j.issn.1000-6915.2012.07.024(inChinese)

    Article  Google Scholar 

Download references

Funding

This paper was funded by the National Natural Science Foundation of China (Grant Nos. 51838001, 51878070, 52078067, 52078066), funded by the Youth Scientific and Technological Innovation Talents of Hunan Province (No. 2020RC306), funded by the Research and Development Projects in Key Fields of Hunan Province, China (No. 2019SK2171), funded by the Outstanding Innovative Youth Training Program of Changsha city (No. kq1905043), funded by the National Natural Science Youth Foundation of China (No. 42207204), funded by the "Double First-class" International Cooperation and Expansion Program for Scientific Research of Changsha University of Science and Technology (No. 2019IC04), and funded by the College Students Innovation and Entrepreneurship Program of China (No. 202120536003) and the Open Fund of Key Laboratory of Bridge Engineering Safety Control by Department of Education (Changsha University of Science and Technology) (No. 15KB01).

Author information

Authors and Affiliations

  1. Key Laboratory of Bridge Engineering Safety Control By Department of Education, Changsha University of Science and Technology, Changsha, 410114, China

    Han-Bing Bian

  2. School of Civil Engineering, Changsha University of Science and Technology, Changsha, 410114, China

    Ling Zeng, Jiang-Ling Yu & Wei Wen

  3. School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha, 410114, China

    Qian-Feng Gao

  4. Guangxi Traffic Design Group Co. Ltd., Nanning, 530029, China

    Xian-Lin Liu

Authors
  1. Ling Zeng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiang-Ling Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Wei Wen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qian-Feng Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Xian-Lin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Han-Bing Bian
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wei Wen.

Ethics declarations

Conflict of interest

The authors have no competing interests to declare that are relevant to the content of this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zeng, L., Yu, JL., Wen, W. et al. Mechanical response analysis of disintegrated carbonaceous mudstone based on discrete element method. Comp. Part. Mech. (2024). https://doi.org/10.1007/s40571-023-00711-w

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40571-023-00711-w

Keywords

Search

Navigation