Numerical analysis of flyer plate experiments in granite via the combined finite–discrete element method

Abstract

In this study, the combined finite–discrete element method (FDEM), which merges the finite element-based analysis of continua with discrete element-based transient dynamics, contact detection, and contact interaction solutions, is used to simulate the response of a flyer plate impact experiment in a Westerly granite sample that contains a randomized set of cracks. FDEM has demonstrated to be a strongly improved physical model as it can accurately reproduce the velocity interferometer system for any reflector plot and capture the spall region and spall strength obtained from flyer plate experiments in granite. The number and the distributions of preexisting fractures have also been studied to get better understanding of the effect of structural cracks on the mechanical behavior and the failure path of Westerly granite under high strain rate impact. These FDEM capabilities, in the context of rock mechanics, are very important for two main reasons. First, the FDEM can be further applied to many complex large-scale problems such as planetary impact, rock blasting, seismic wave propagation, characterization of material failure around explosive crater formations, and detection of hydrocarbon flow in petroleum industry. Second, it can be used to validate high strain rate impact experiments and essentially, via virtual experimentation, replace these high-cost experiments by very cost- and time-effective simulations.

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References

  1. 1.

    Yuan F, Prakash V (2013) Plate impact experiments to investigate shock-induced inelasticity in Westerly granite. Int J Rock Mech Min Sci 60:277–287

    Article  Google Scholar 

  2. 2.

    Prakash V (1995) A pressure-shear plate impact experiment for investigating transient friction. Exp Mech 35(4):329–336

    Article  Google Scholar 

  3. 3.

    Zhao H, Gary G (1995) A three dimensional analytical solution of the longitudinal wave propagation in an infinite linear viscoelastic cylindrical bar. Application to experimental techniques. J Mech Phys Solids 43(8):1335–1348

    MathSciNet  Article  Google Scholar 

  4. 4.

    Liu H, Kou S, Lindqvist P-A, Tang C (2002) Numerical simulation of the rock fragmentation process induced by indenters. Int J Rock Mech Min Sci 39(4):491–505

    Article  Google Scholar 

  5. 5.

    Wang S, Sloan S, Liu H, Tang C (2011) Numerical simulation of the rock fragmentation process induced by two drill bits subjected to static and dynamic (impact) loading. Rock Mech Rock Eng 44(3):317–332

    Article  Google Scholar 

  6. 6.

    Saksala T (2010) Damage–viscoplastic consistency model with a parabolic cap for rocks with brittle and ductile behavior under low-velocity impact loading. Int J Numer Anal Methods Geomech 34(13):1362–1386

    Article  Google Scholar 

  7. 7.

    Thuro K, Schormair NJ (2008) Fracture propagation in anisotropic rock during drilling and cutting. Geomechanik und Tunnelbau 1(1):8–17

    Article  Google Scholar 

  8. 8.

    Forquin P, Hild F (2010) A probabilistic damage model of the dynamic fragmentation process in brittle materials. In: Advances in applied mechanics, vol 44. Elsevier, pp 1–72

  9. 9.

    Rougier E, Knight EE, Broome ST, Sussman AJ, Munjiza A (2014) Validation of a three-dimensional finite-discrete element method using experimental results of the split Hopkinson pressure bar test. Int J Rock Mech Min Sci 70:101–108

    Article  Google Scholar 

  10. 10.

    Shockey DA, Curran DR, Seaman L, Rosenberg JT, Petersen CF (1974) Fragmentation of rock under dynamic loads. In: International journal of rock mechanics and mining sciences and geomechanics abstracts, vol 8. Elsevier, pp 303–317

  11. 11.

    Munjiza AA (2004) The combined finite-discrete element method. Wiley, Hoboken

    Book  Google Scholar 

  12. 12.

    Munjiza AA, Knight EE, Rougier E (2011) Computational mechanics of discontinua. Wiley, Hoboken

    Book  Google Scholar 

  13. 13.

    Munjiza AA, Rougier E, Knight EE (2014) Large strain finite element method: a practical course. Wiley, Hoboken

    MATH  Google Scholar 

  14. 14.

    Munjiza A (1992) Discrete elements in transient dynamics of fractured media. Swansea University, Swansea

    Google Scholar 

  15. 15.

    Gao K, Euser BJ, Rougier E, Guyer RA, Lei Z, Knight EE, Carmeliet J, Johnson PA (2018) Modeling of stick-slip behavior in sheared granular fault gouge using the combined finite–discrete element method. J Geophys Res Solid Earth 123(7):5774–5792

    Article  Google Scholar 

  16. 16.

    Lei Z, Rougier E, Knight EE, Munjiza AA, Viswanathan H (2016) A generalized anisotropic deformation formulation for geomaterials. Comput Part Mech 3(2):215–228. https://doi.org/10.1007/s40571-015-0079-y

    Article  Google Scholar 

  17. 17.

    Munjiza A, Rougier E, John NWM (2006) MR linear contact detection algorithm. Int J Numer Methods Eng 66(1):46–71. https://doi.org/10.1002/nme.1538

    Article  MATH  Google Scholar 

  18. 18.

    Munjiza A, Andrews K (1998) NBS contact detection algorithm for bodies of similar size. Int J Numer Methods Eng 43(1):131–149

    Article  Google Scholar 

  19. 19.

    Knight E, Rougier E, Munjiza AJP, LA-UR-13-23409 (2013) LANL-CSM: Consortium proposal for the advancement of HOSS.05-09

  20. 20.

    Rougier E, Knight E, Munjiza AJP, LA-UR-13-23422 (2013) LANL-CSM: HOSS-MUNROU Technology Overview.05-10

  21. 21.

    Knight E, Rougier E, Lei Z (2015) Hybrid optimization software suite (HOSS)-educational version. In: Technical report LA-UR-15-27013. Los Alamos National Laboratory

  22. 22.

    Rougier E, Munjiza AA (2010) MRCK_3D contact detection algorithm. In: Paper presented at the proceedings of 5th international conference on discrete element methods. London

  23. 23.

    Knight E, Rougier E, Lei Z (2015) Hybrid optimization software suite (HOSS)—educational version. Technical Report LA-UR-15-27013, Los Alamos National Laboratory

  24. 24.

    Saadati M, Forquin P, Weddfelt K, Larsson PL, Hild F (2015) A numerical study of the influence from pre-existing cracks on granite rock fragmentation at percussive drilling. Int J Numer Anal Methods Geomech 39(5):558–570

    Article  Google Scholar 

  25. 25.

    Tatone BSA, Grasselli G (2015) A calibration procedure for two-dimensional laboratory-scale hybrid finite–discrete element simulations. Int J Rock Mech Min Sci 75(3):56–72. https://doi.org/10.1016/j.ijrmms.2015.01.011

    Article  Google Scholar 

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Acknowledgements

The Los Alamos National Laboratory LDRD Program (Project #20170103DR) supported this work. Technical support and computational resources from the Los Alamos National Laboratory Institutional Computing Program are highly appreciated. Our data are available by contacting the corresponding authors.

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Correspondence to Viet Chau.

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Chau, V., Rougier, E., Lei, Z. et al. Numerical analysis of flyer plate experiments in granite via the combined finite–discrete element method. Comp. Part. Mech. 7, 1005–1016 (2020). https://doi.org/10.1007/s40571-019-00300-w

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Keywords

  • Combined finite–discrete element method (FDEM)
  • Brittle material
  • High strain rate
  • Flyer plate, granite