Skip to main content

Collisions Involving Solids and Fluids

  • Chapter
Novel Approaches in Civil Engineering

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 14))

Abstract

Predictive theories of instantaneous collisions involving rigid and deformable solids as well as fluids are described. They are based on the description of interior percussions to the system made of the colliding bodies. The system made of all the elements (solids or fluids) that are colliding is a deformable system: its form changes even if it is made of rigid elements! If the duration of a collision is small compared to the duration of the evolution, we assume that the collision is instantaneous; thus the velocities are discontinuous We describe the collision of a point with a fixed plane and the simultaneous collisions of a collection of rigid bodies. The impact of an hammer with a bar is an example of collisions of deformables bodies. Experiments show the adequation of the theory. The collision of fluids and solids is illustrated by the description of the belly flop of a diver in a swimming pool.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Appol, 2000, Mise au point d’une méthode d’identification pour l’étude des chocs de solides déformables, Projet de fin d’études, Institut Galilée, Université Paris Nord, Villetaneuse.

    Google Scholar 

  2. C. Cholet, 1998 a, Chocs de solides rigides, thèse de l’Université Pierre et Marie Curie, Paris.

    Google Scholar 

  3. C. Cholet, 1998 b, Collisions d’un point et d’un plan, C. R. Acad. Sci., I, 328, pp 455–458, Paris.

    Google Scholar 

  4. E. Dimnet, M. Frémond, 1999, Chocs de solides rigides, 4e Colloque national de calcul des structures, Giens.

    Google Scholar 

  5. E. Dimnet, M. Frémond, 1999, Choc instantané d’un solide déformable sur un support rigide, 14e congrès français de mécanique, Toulouse.

    Google Scholar 

  6. E. Dimnet, M. Frémond, 2000, Instantaneous collisions of solids, European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona.

    Google Scholar 

  7. E. Dimnet, 2001, Chocs de solides et intégration des équations d’évolution des systèmes multi-solides, thèse de l’Ecole Nationnale des Ponts et Chaussées, Paris.

    Google Scholar 

  8. M. Frémond, 1995 a, Rigid bodies collisions, Physics letters A, 204, 33–41.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Frémond, 2000, Collision of a wedge with a plane, Computational and Applied Mathematics, Vol 19, N°2, pp 1–10.

    MathSciNet  Google Scholar 

  10. M. Frémond, 2001, Non-smooth Thermomechanics, Springer-Verlag, Heidelberg.

    Google Scholar 

  11. P. Germain, 1973, Mécanique des milieux continus, Masson, Paris.

    MATH  Google Scholar 

  12. J. J. Moreau, 1966, Fonctionnelles convexes, Séminaire sur les équations aux dérivées partielles, Collége de France, Paris.

    Google Scholar 

  13. F. Platel, 2000, Identification d’une loi de choc instantané pour un solide déformable en acier, Rapport de stage scientifique de l’Ecole nationale des Ponts et Chaussées, Paris.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Dimnet, E., Frémond, M., Gormaz, R., San Martin, J. (2004). Collisions Involving Solids and Fluids. In: Frémond, M., Maceri, F. (eds) Novel Approaches in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45287-4_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45287-4_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07529-2

  • Online ISBN: 978-3-540-45287-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics