Skip to main content
Log in

Use of bulk embedding cohesive elements to realize bifurcating propagation of rock crack

Geomechanics and Geophysics for Geo-Energy and Geo-Resources Aims and scope Submit manuscript

Abstract

To investigate the connection and bifurcation problems of the propagation principle and behavior in the whole process of rock crack, bulk insert of cohesive elements between entity elements has been developed. First, it defines what kind of cohesive element is best to be inserted between the model elements. To minimize the influence of embedded cohesive elements on the overall stiffness, Kcohesive needs to be far greater than that of the solid elements. Moreover, it is found that if the maximum principal stress criterion is used as the criterion of crack damage initiation and the displacement law is used as crack evolution criterion, the simulation results had the best convergence. Second, it finds a way to insert cohesive elements between all the elements of the model. It is realized by revising the inp file. For a complicated model with many elements, manual revising is difficult. The pattern of inserting cohesive elements in the inp file has been programed such that the inp file can be revised automatically. In Example 1, the three-point bending failure mode of concrete beams has been simulated. The simulated results have been compared with the experimental results so as to verify the effectiveness of the cohesive element in simulating the crack propagation and the correctness of the program for bulk insertion of the cohesive elements. In Example 2, cracking, propagation, connection and bifurcation of cracks in rocks containing inclusions have been simulated, and the tests are being carried out.

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

Access this article

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
Fig. 13
Fig. 14

Data availability

The [DATA TYPE] data used to support the findings of this study have been deposited in the [NAME] repository. All research analysis data is available on demand.

References:

  • Abdolhadi G, Hamid RH, Vahab S, Mir RH (2013) Mixed mode crack propagation in low brittle rock-like materials. Arabian J Geosci 6(11):4435–4444

    Article  Google Scholar 

  • Belyschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Eng 45(5):601–620

    Article  Google Scholar 

  • Cakoni F, Guzina BB, Moskow S, Pangburn T (2019) Scattering by a bounded highly oscillating periodic medium and the effect of boundary correctors. SIAM J Appl Math 79:1448–1474

    Article  MathSciNet  Google Scholar 

  • Cornaggia R, Guzina BB (2020) Second-order homogenization of boundary and transmission conditions for one-dimensional waves in periodic media. Int J Solids Struct 188–9:88–102

    Article  Google Scholar 

  • Donze A, Krogh B, Rajhans A 2009 Parameter Synthesis for Hybrid Systems with an Application to Simulink Models[C]//The 12th International Conference on Hybrid Systems: Computation and Control. San Francisco, CA, USA

  • Jenq YS, Shah SP (1988) Mixed-mode fracture of concrete. Int J Fract 38(2):123–142

    Google Scholar 

  • Khandelwal M, Ranjith PG (2017) Study of crack propagation in concrete under multiple loading rates by acoustic emission. Geomech Geophys Geo-Energy Geo-Resour 2:1–12

    Google Scholar 

  • Kumari WGP, Beaumont DM, Ranjith PG et al (2019) An experimental study on tensile characteristics of granite rocks exposed to different high-temperature treatments. Geomech Geophys Geo Energy Geo Resour 5(1):47–64

    Article  Google Scholar 

  • Moes N, Dolbow J, Belyschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46(1):131–150

    Article  MathSciNet  Google Scholar 

  • Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364

    Article  Google Scholar 

  • Pourahmadian F, Guzina BB (2018) On the elastic anatomy of heterogeneous fractures in rock. Int J Rock Mech Min Sci 106:259–268

    Article  Google Scholar 

  • Pourahmadian F, Guzina BB, Haddar H (2017) A synoptic approach to the seismic sensing of heterogeneous fractures: from geometric reconstruction to interfacial characterization. Comp Meth Appl Mech Eng 324:395–412

    Article  MathSciNet  Google Scholar 

  • SHI GH 1991 Manifold method of material analysis[C]//Transactions of the 9th Army Conference on Applied Mathematics and Computing. Minneapolis, USA

  • Wang Y, Zhou X, Xu X (2016) Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads. Eng Fract Mech 163:248–273

    Article  Google Scholar 

  • Wang Y, Zhou X, Shou Y (2017) The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics. Int J Mech Sci 128–129:614–643

    Article  Google Scholar 

  • Wang Y, Zhou X, Wang Y, Shou Y (2018) A 3D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids. Int J Solids Struct 134:89–115

    Article  Google Scholar 

  • Wu ZJ, Wong LNY (2013) Modeling cracking behavior of rock mass containing inclusions using the enriched numerical manifold method. Eng Geol 162:1–13

    Article  Google Scholar 

  • Zhang XP, Wong LNY (2012) Cracking processes in rock-like material containing a single flaw under uniaxial compression: a numerical study based on parallel bonded-particle model approach. Rock Mech Rock Eng 45(5):711–737

    Google Scholar 

  • Zhijun W, Xiangyu X, Quanshen L et al (2018) A zero-thickness cohesive element-based numerical manifold method for rock mechanical behavior with micro-Voronoi grains. Eng Anal Boundary Elements 96:94–108

    Article  MathSciNet  Google Scholar 

  • Zhijun Wu, Sun Hao, Wong LNY (2019) A cohesive element-based numerical manifold method for hydraulic fracturing modelling with voronoi grains. Rock Mech Rock Eng 52(7):2335–2359

    Article  Google Scholar 

  • Zhou XP, Bi J, Qian QH (2015) Numerical simulation of crack growth and coalescence in rock-like materials containing multiple pre-existing flaws. Rock Mech Rock Eng 48(3):1097–1114

    Article  Google Scholar 

  • Zj Wu, Wong LNY (2012) Frictional crack initiation and propagation analysis using the numerical manifold method. Comput Geotech 39:38–53

    Article  Google Scholar 

Download references

Acknowledgments

Authors would like to thank Northeastern University in providing the access to the software and other facilities. This work was conducted with supports from the National Natural Science Foundation of China (Grant Nos. 51474050 and U1602232), the Fundamental Research Funds for the Central Universities (Grant No.17010829;No.180701005), key science and technology projects of Liaoning Province,China (2019JH2- 10100035)to Dr Shuhong Wang. Thanks to Zhu Li for his guidance on the programming part of the inp file.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shuhong Wang.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest. No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, P., Wang, S., Jierula, A. et al. Use of bulk embedding cohesive elements to realize bifurcating propagation of rock crack. Geomech. Geophys. Geo-energ. Geo-resour. 7, 8 (2021). https://doi.org/10.1007/s40948-020-00206-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40948-020-00206-5

Keywords

Navigation