Voxel-Based Finite Element Simulation of Craniocerebral Traumas

  • Alexandr S. Karavaev
  • Sergey P. Kopysov
  • Alexandr K. Novikov
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 131)


Modelling of the biomechanics processes is connected with the consideration of objects with a complex shape and the need to build boundaries describing the inner structure of biological tissues. To make the computational experiment closer to the reality, the use of the algorithms for building finite element models utilizing directly the tomography data is preferable. In the present paper we review known mathematical models of a human head, which are used in the problems of contact biomechanics. The validation of the developed finite element model has been conducted for the case of a short duration impact. Computational experiments have been carried out for establishing critical values of a contact force leading to severe injuries.



This work is supported by the Russian Foundation for Basic Research (project 17-01-00402-a).


  1. 1.
    Agapov, P.I., Belotserkovskii, O.M., Petrov, I.B.: Numerical modeling of consequences of mechanical action on human brain. Comput. Math. and Math. Phys. 46(9), 1629–1638 (2006)CrossRefGoogle Scholar
  2. 2.
    Azarenok, B.N.: Variational method for hexahedral grid generation with control metric. Math. Models Comput. Simul. 1(5), 573–590 (2009)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Bandak, F.A., et al.: An imaging-based computational and experimental study of skull fracture: finite element model development. J. Neurotrauma. 12(4), 679–688 (1995)CrossRefGoogle Scholar
  4. 4.
    Belingardi, G., Chiandussi, G., Gaviglio, I.: Development and validation of a new finite element model of human head. In: Proceedings of 19th International Technical Conf on the Enhanced Safety of Vehicles, Washington (2005)Google Scholar
  5. 5.
    Canann, S.A., Tristano, J.R., Staten, M.L.: An approach to combined Laplacian and optimization-based smoothing for triangular quadrilateral, and quad-dominant meshes. In: Proceedings. 7th Int. Meshing Roundtable (1998)Google Scholar
  6. 6.
    Henn, H.: Crash tests and the head injury criterion. Teach. Math. Appl. 17(4), 162–170 (1998)Google Scholar
  7. 7.
    Hilber, H.M., Hughes, T.J.R., Taylor, R.L.: Improved numerical dissipation for time integration algorithms in structural dynamics. Earthq. Engrg. Struct. Dynam. 5, 283–292 (1977)CrossRefGoogle Scholar
  8. 8.
    Huang, H.M., et al.: Finite element analysis of brain contusion: an indirect impact study. Med. Biol. Eng. Comput. 38(3), 253–259 (2000)CrossRefGoogle Scholar
  9. 9.
    Ito, Y., Shih, A.M., Soni, B.K.: Efficient hexahedral mesh generation for complex geometries using an improved set of refinement templates. In: Clark, B.W. (ed.) Proceedings of the 18th Int. Meshing Roundtable. Springer, Berlin (2009)Google Scholar
  10. 10.
    Joldes, G.R., Wittek, A., Miller, K.: Real-time nonlinear finite element computations on GPU—application to neurosurgical simulation. Comput. Methods Appl. Mech. Engrg. 199, 3305–3314 (2010)CrossRefGoogle Scholar
  11. 11.
    Karavaev, A.S., Kopysov, S.P.: The method of unstructured hexahedral mesh generation from volumetric data. Comput. Res. Model. 5(1), 11–24 (2013)CrossRefGoogle Scholar
  12. 12.
    Karavaev, A.S., Kopysov, S.P.: Space semidiscrete formulation of contact algorithm based on the Schwarz’s decomposition method for deformable bodies. Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki. 27(3), 396–413 (2017)CrossRefGoogle Scholar
  13. 13.
    Karavaev, A.S., Kopysov, S.P.: Mathematical modelling of head impact with craniocerebral injury. Russ. J. Biomech. 22(2), 153–168 (2018)Google Scholar
  14. 14.
    Khenous, H.B., Laborde, P., Renard, Y.: Mass redistribution method for finite element contact problems in elastodynamics. Eur. J. Mech. A Solids. 27(5), 918–932 (2008)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Marechal, L.: Advances in octree-based all-hexahedral mesh generation: handling sharp features. In: Clark, B.W. (ed.) Proceedings of the 18th Int. Meshing Roundtable. Springer, Berlin (2009)Google Scholar
  16. 16.
    Nahum, A.M., Smith, R., Ward, C.C.: Intracranial pressure dynamics during head impact. In: Proceedings of 21st Stapp Car Crash Conference, New Orleans (1977)Google Scholar
  17. 17.
    Patel, A., Goswami, T.: Comparison of intracranial pressure by lateral and frontal impacts — validation of computational model. In: Goswami, T. (ed.) Injury and Skeletal Biomechanics, pp. 95–114. InTech, Rijeka (2012)Google Scholar
  18. 18.
    Schneiders, R., Schindler, R., Weiler, F.: Octree-based generation of hexahedral element meshes. In: Proceedings of the 5th Int Meshing Roundtable. (1996)Google Scholar
  19. 19.
    Tse, K.M., et al.: A review of head injury and finite element head models. Am. J. Eng. Educ. 1(5), 28–52 (2014)Google Scholar
  20. 20.
    Wenger R.: Isosurfaces Geometry, Topology, and Algorithms. CRC Press, New York (2013)CrossRefGoogle Scholar
  21. 21.
    Willinger, R., Taleb, L., Pradoura P.: From the finite element model to the physical model. In: Proceedings of IRCOBI the International Research Council on the Biomechanics of Injury, Brunnen (1995)Google Scholar
  22. 22.
    Yang, B., et al.: Development of a finite element head model for the study of impact Head Injury. BioMed Res. Int. (2014).

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alexandr S. Karavaev
    • 1
  • Sergey P. Kopysov
    • 2
  • Alexandr K. Novikov
    • 2
  1. 1.Udmurt State UniversityIzhevskRussia
  2. 2.Department of Computational MechanicsUdmurt State UniversityIzhevskRussia

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