Skip to main content
SpringerLink
Log in

Qualitative estimates for cross-sectional measures in elasticity

  • Conference paper
Trends and Applications of Mathematics to Mechanics

  • 671 Accesses

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

Access this chapter

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 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. Knowles, J.K., Horgan, C.O. (1969): On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads. Internat. J. Solids Structures 5, 33–50

    Article  MATH  Google Scholar 

  2. Horgan, C.O., Knowles, J.K. (1983): Recent developments concerning Saint-Venant’s principle. Adv. Appl. Mech. 23, 179–269

    Article  MATH  MathSciNet  Google Scholar 

  3. Flavin, J.N., Knops, R.J. (1988): Some convexity considerations for a two-dimensional traction problem. Z. Angew. Math. Phys. 39, 166–176

    Article  MATH  MathSciNet  Google Scholar 

  4. Horgan, C.O. (1989): Recent developments concerning Saint-Venant’s principle: an up-date. Appl. Mech. Rev. 42, 295–303

    Article  MathSciNet  Google Scholar 

  5. Horgan, C.O. (1996): Recent developments concerning Saint-Venant’s principle: a second update. Appl. Mech. Rev. 49, S101–S111

    Article  Google Scholar 

  6. Flavin, J.N., Gleeson, B. (2004): Decay and other estimates for an annular elastic cylinder in an axisymmetric state of stress. Math. Mech. Solids, to appear

    Google Scholar 

  7. Love, A.E.H. (1944): A treatise on the mathematical theory of elasticity. 4th edition. Dover, New York

    MATH  Google Scholar 

  8. Knowles, J.K. (1966): On Saint-Venant’s principle in the two-dimensional linear theory of elasticity. Arch. Ration. Mech. Anal. 21, 1–22

    Article  MathSciNet  Google Scholar 

  9. Stephen, N.G., Wang, M.Z. (1992): Decay rates for the hollow circular cylinder. J. Appl. Mech. 59, 747–753

    MATH  Google Scholar 

  10. Flavin, J.N., Rionero, S. (1993): Decay and other estimates for an elastic cylinder. Quart. J. Mech. Appl. Math. 46, 299–309

    MATH  MathSciNet  Google Scholar 

  11. Flavin, J.N., Gleeson, B. (2001): Pointwise and other decay estimates for an isotropic elastic strip. J. Elasticity 64, 191–197

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematical Physics, National University of Ireland, Galway, Ireland

    James N. Flavin

  2. Dept. of Geomatic Engineering, University College London, London, UK

    Barry Gleeson

Authors
  1. James N. Flavin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Barry Gleeson
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dept. of Mathematics Renato Caccioppoli, University of Naples Federico II, Naples, Italy

    Salvatore Rionero

  2. Dept. of Scienza delle Costruzioni, University of Naples Federico II, Naples, Italy

    Giovanni Romano

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Italia

About this paper

Cite this paper

Flavin, J.N., Gleeson, B. (2005). Qualitative estimates for cross-sectional measures in elasticity. In: Rionero, S., Romano, G. (eds) Trends and Applications of Mathematics to Mechanics. Springer, Milano . https://doi.org/10.1007/88-470-0354-7_7

Download citation

  • DOI: https://doi.org/10.1007/88-470-0354-7_7

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-0269-2

  • Online ISBN: 978-88-470-0354-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation