Skip to main content
SpringerLink
Log in
Book cover

International Conference on Numerical Analysis and Its Applications

NAA 2012: Numerical Analysis and Its Applications pp 471–478Cite as

Parallel Program Systems for Problems of the Dynamics of Elastic-Plastic and Granular Media

  • Conference paper

  • 3201 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8236))

Abstract

Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Computational algorithm is based on the splitting methods with respect to physical processes and spatial variables. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on clusters.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cosserat, E., Cosserat, F.: Théorie des Corps Déformables. In: Chwolson, O.D. (ed.) Traité Physique, Librairie Scientifique, pp. 953–1173. A. Hermann et Fils, Paris (1909)

    Google Scholar 

  2. Kulikovskii, A.G., Pogorelov, N.V., Semenov, A.Y.: Mathematical Aspects of Numerical Solution of Hyperbolic Systems. Monographs and Surveys in Pure and Applied Mathematics, vol. 118. Chapman & Hall/CRC, Boca Raton, London (2001)

    MATH  Google Scholar 

  3. Marchuk, G.I.: Splitting Methods. Nauka, Moscow (1988) (in Russian)

    Google Scholar 

  4. Sadovskaya, O., Sadovskii, V.: Mathematical Modeling in Mechanics of Granular Materials. Advanced Structured Materials, vol. 21. Springer, Heidelberg (2012)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computational Modeling SB RAS, Akademgorodok 50/44, 660036, Krasnoyarsk, Russia

    Oxana V. Sadovskaya

Authors
  1. Oxana V. Sadovskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technlogies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl25A, 1113, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Pázm\’{a}ny P\’{e}ter s\’{e}t\’{a}ny 1/C,, Eötvös Loránd University, 1117, Budapest, Hungary

    István Faragó

  3. University of Rousse, 8 Studentska Str.,, 7017, Rousse, Bulgaria

    Lubin Vulkov

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sadovskaya, O.V. (2013). Parallel Program Systems for Problems of the Dynamics of Elastic-Plastic and Granular Media. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_53

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-41515-9_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41514-2

  • Online ISBN: 978-3-642-41515-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation