Skip to main content

The Elastic Continuum with a Cylindrical Hole Subjected to a Moving Time Depending Load

  • Chapter
Advances in Continuum Mechanics
  • 154 Accesses

Abstract

The basis for all investigations concerning spatial elastodymamics are the fundamental equations of the elastic continuum as formulated by Navier, Cauchy and Poisson [1]. For the solution of these equations the introduction of the Lamé potentials proved to be extremely advantageous. Sternberg [2] has discussed in some detail the further transformation of the Lamé equations into wave equations.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Eringen, A., Suhubi, S.: Elastodynamics, Vol.l: Finite Motions, Vol.11: Linear Theory Academic Press, New York 1974/75

    Google Scholar 

  2. Sternberg, E.: On the Integration of the equations of Motion in the Classical Theory of Elasticicty. Arch. Rational Mech. and Anal., Vol. 6, 1960, pp 34–50

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Lysmer, J., Kuhlemeyer, R.L.: Finite dynamic model for infinite media, ASCE, Em4, 1969

    Google Scholar 

  4. Waas, G.: Linear Two-Dimensional Analysis of Soil Dynamics Problems in Semi-Infinite Layered Media, Dissertation University of California, Berkeley, 1972

    Google Scholar 

  5. Schmid, G. Huh, Y., Estorff, O.v.: Evaluation of Compliance Functions of Soil Foundation Systems by Boundary Element Methods, 8th World conf. on Earthquake Engineering, San Francisco, 1984

    Google Scholar 

  6. Ottenstreuer, M.: Ein Beitrag zur Darstellung der Wechselwirkung zwischen Bauwerk und Baugrund unter der Verwendung des Verfahrens der Randelemente, Technisch-wissenschaftliche Mitteilungen, Ruhr-Universität Bochum, 1981

    Google Scholar 

  7. Antes, H.: A Boundary Element Procedure for Transient Wave Propagation in Two-Dimensional Isotropic Elastic Media, Finite Elements in Analysis and Design, 1, 313–322, 1985

    Article  MATH  Google Scholar 

  8. Manolis, G.D., Beskos, D.E.: Dynamic Response of lined Tunnels by an Isoparametric Boundary Element Method, Computer Methods in Applied Mechanics and Engineering 36, 1983, 291–307

    Article  ADS  MATH  Google Scholar 

  9. Wolf, J. P.: Dynamic Soil-Structure-Interaction, Prentice Hall Englewood Cliffs, N.Y. 1985

    Google Scholar 

  10. Sneddon, I.N.: Stress Produced by a Pulse of Pressure Moving along the surface of a Semi-Infinite Solid, Rendiconti Circolo Matematico di Palermo, 2, 1952

    Google Scholar 

  11. Cole, J., Huth, J.: Stresses Produced in a Half Plane by Moving loads, Transactions ASME. J. Appl. Mechn., 1958

    Google Scholar 

  12. Gakenheimer, D.C., Miklowitz, J.: Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface. J. Appl. Mechn., 1969

    Google Scholar 

  13. Watanabe, K.: Transient Response of an Elastic Half Space to Moving Loads, Bulletin of the JSN. Me, Vol. 24, No 192, 1981

    Google Scholar 

  14. Parnes, R.: Response of an Infinite Elastic Medium to Traveling loads in a Cylindrical Bore, J. Appl. Mechn., 1969

    Google Scholar 

  15. Watanabe, K.: Transient Response of an Elastic Solid to a Moving Torsional Load in a Cylindrical Bore, Int. J. Enging. Sci. Vol. 22, Nr. 3, 1984

    Google Scholar 

  16. Konrad, A.: Der Zylinder, der zylindrische Hohlraum und die dickwandige Kreiszylinder-schale unter beliebigen, ruhenden oder bewegten Lasten, Diss. 1985, Mitteilungen aus dem Institut für Bauingenieurwesen I, TU München, Heft 17

    Google Scholar 

  17. Grundmann, H.; Müller, G.: Schwingungen infolge zeitlich veränderlicher, bewegter Lasten im Untergrund, in Finite Elemente, Anwendungen in der Baupraxis, Wilhelm Ernst und Sohn, 1988

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin, Heidelberg

About this chapter

Cite this chapter

Grundmann, H., Konrad, A., Zirwas, G. (1991). The Elastic Continuum with a Cylindrical Hole Subjected to a Moving Time Depending Load. In: Brüller, O.S., Mannl, V., Najar, J. (eds) Advances in Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48890-0_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-48890-0_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53988-9

  • Online ISBN: 978-3-642-48890-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics