Modelling of Dynamic Problems in Biomechanics

I. Petrov; Y. Bolotskikh; A. Vasyukov

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 7, page 70-81
  • ISSN: 0973-5348

Abstract

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This paper is devoted to solving of dynamic problems in biomechanics that require detailed study of fast processes. Numerical method of characteristics is used to model the temporal development of the processes with high accuracy.

How to cite

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Petrov, I., Bolotskikh, Y., and Vasyukov, A.. "Modelling of Dynamic Problems in Biomechanics." Mathematical Modelling of Natural Phenomena 6.7 (2011): 70-81. <http://eudml.org/doc/222315>.

@article{Petrov2011,
abstract = {This paper is devoted to solving of dynamic problems in biomechanics that require detailed study of fast processes. Numerical method of characteristics is used to model the temporal development of the processes with high accuracy.},
author = {Petrov, I., Bolotskikh, Y., Vasyukov, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {method of characteristicsbiomechanicscataract extractionbrain injuryheart contraction},
language = {eng},
month = {6},
number = {7},
pages = {70-81},
publisher = {EDP Sciences},
title = {Modelling of Dynamic Problems in Biomechanics},
url = {http://eudml.org/doc/222315},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Petrov, I.
AU - Bolotskikh, Y.
AU - Vasyukov, A.
TI - Modelling of Dynamic Problems in Biomechanics
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/6//
PB - EDP Sciences
VL - 6
IS - 7
SP - 70
EP - 81
AB - This paper is devoted to solving of dynamic problems in biomechanics that require detailed study of fast processes. Numerical method of characteristics is used to model the temporal development of the processes with high accuracy.
LA - eng
KW - method of characteristicsbiomechanicscataract extractionbrain injuryheart contraction
UR - http://eudml.org/doc/222315
ER -

References

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  1. J.H. Adams, D.I. Graham, T.A. Genmarelli. Head injury in man and experimental animals: neuropathology. Acta Neurochir., 32 (1975), 15–30.  
  2. L. Zhang, K.H. Yang, A.I. King. Comparison of brain responses between frontal and lateral impacts by finite element modelling. J. Neurotrauma, 18 (2001), 21–30.  
  3. A.H. Kuijpers, M.H. Claessens, A.A. Sauren. The influence of different boundary conditions on the response of the head to impact: a two-dimensional finite element study. J. Neurotrauma, 12 (1995), 715–724.  
  4. V. Novatskii. Elasticity theory. Nauka, Moscow, 1975 (in Russian).  
  5. K.M. Magomedov, A.S. Kholodov. Grid characteristic methods. Nauka, Moscow, 1988 (in Russian).  Zbl0649.65051
  6. I.B. Petrov, A.G. Tormasov, A.S. Kholodov. On the numerical study of unsteady processes in layered solids. Izv. Akad. Nauk SSSR, Ser. Mekh. Tverd. Tela, 4 (1989), 89–95.  
  7. I.B. Petrov, A.S. Kholodov. Numerical study of some dynamic problems in mechanics of deformable solids by the grid characteristic method. Zh. Vych. Mat. Mat. Fiz., 24 (1984), 722–739.  Zbl0551.73080
  8. J.A. Trangenstein. Numerical solution of hyperbolic partial differential equations. Cambridge University Press, New York, 2007.  

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