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Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 9, Pages 1711–1720 (Mi zvmmf421)  

This article is cited in 13 scientific papers (total in 13 papers)

Numerical simulation of the consequences of a mechanical action on a human brain under a skull injury

P. I. Agapova, O. M. Belotserkovskiib, I. B. Petrova,

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b Institute of Automated Design, Russian Academy of Sciences, Vtoraya Brestskaya ul. 18/2, Moscow, 123056, Russia

Abstract: A two-dimensional mathematical model of the mechanical response of a human head to a shock action is proposed. It describes the spatial distribution of the mechanical loads on the brain. Some numerical results obtained using the grid characteristic methods on unstructured triangular grids are presented.

Key words: mathematical modeling, biomechanics of skull injury, grid characteristic methods, unstructured grids.

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English version:
Computational Mathematics and Mathematical Physics, 2006, 46:9, 1629–1638

Bibliographic databases:

UDC: 519.634
Received: 04.04.2006

Citation: P. I. Agapov, O. M. Belotserkovskii, I. B. Petrov,, “Numerical simulation of the consequences of a mechanical action on a human brain under a skull injury”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1711–1720; Comput. Math. Math. Phys., 46:9 (2006), 1629–1638

Citation in format AMSBIB
\by P.~I.~Agapov, O.~M.~Belotserkovskii, I.~B.~Petrov,
\paper Numerical simulation of the consequences of a~mechanical action on a~human brain under a~skull injury
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 9
\pages 1711--1720
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1629--1638

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. N. G. Matyushev, I. B. Petrov, “Mathematical simulation of deformation and wave processes in multilayered structures”, Comput. Math. Math. Phys., 49:9 (2009), 1615–1621  mathnet  crossref  zmath  isi
    2. I. E. Kvasov, S. A. Pankratov, I. B. Petrov, “Computational modeling of seysmoresponse in multilayered geologic medium by grid-characteristic method”, Math. Models Comput. Simul., 3:2 (2011), 196–204  mathnet  crossref
    3. I. E. Kvasov, S. A. Pankratov, I. B. Petrov, “Computation of dynamic processes in continuous media with a crack initiated by the near-surface disturbance using grid-characteristic method”, Math. Models Comput. Simul., 3:3 (2011), 399–409  mathnet  crossref
    4. Khokhlov N.I., Petrov I.B., “Modelirovanie seismicheskikh yavlenii setochno-kharakteristicheskim metodom”, Trudy Moskovskogo fiziko-tekhnicheskogo instituta, 3:3 (2011), 159–167  elib
    5. Voropaeva O.F., Shokin Yu.I., “Chislennoe modelirovanie v meditsine: nekotorye postanovki zadach i rezultaty raschëtov”, Vychislitelnye tekhnologii, 17:4 (2012), 29–55  elib
    6. K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya, “Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method”, Math. Models Comput. Simul., 6:3 (2014), 294–304  mathnet  crossref
    7. M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya, “Grid-characteristic method on unstructured tetrahedral meshes”, Comput. Math. Math. Phys., 54:5 (2014), 837–847  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    8. A. V. Vasyukov, A. S. Ermakov, I. B. Petrov, A. P. Potapov, A. V. Favorskaya, A. V. Shevtsov, “Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems”, Comput. Math. Math. Phys., 54:7 (2014), 1176–1189  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    9. K. A. Beklemysheva, A. V. Vasyukov, I. B. Petrov, “Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method”, Comput. Math. Math. Phys., 55:8 (2015), 1346–1355  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    10. K. A. Beklemysheva, A. V. Vasyukov, A. S. Ermakov, I. B. Petrov, “Numerical modeling of composite materials failure using grid-characteristic method”, Math. Models Comput. Simul., 8:5 (2016), 557–567  mathnet  crossref  elib
    11. N. A. Kudryashov, K. E. Shilnikov, “Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery”, Math. Models Comput. Simul., 8:6 (2016), 680–688  mathnet  crossref  elib
    12. K. A. Beklemysheva, I. B. Petrov, “Modelirovanie razrusheniya gibridnykh kompozitov pod deistviem nizkoskorostnogo udara”, Matem. modelirovanie, 30:11 (2018), 27–43  mathnet
    13. K. A. Beklemysheva, A. V. Vasyukov, V. I. Golubev, I. B. Petrov, “Chislennoe modelirovanie vozdeistviya seismicheskoi aktivnosti na podvodnyi kompozitnyi truboprovod”, Matem. modelirovanie, 31:1 (2019), 103–113  mathnet  crossref  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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