Skip to main content

Locality and uniformity in global elasticity

  • VI. Geometrical Modelling Of Special Systems
  • Conference paper
  • First Online:
Differential Geometric Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1139))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Epstein, M. and Segev, R., "Differentiable Manifolds and the Principle of Virtual Work in Continuum Mechanics", J.Math.Phys. 21(5), 1980, 1243–1245

    Article  MathSciNet  MATH  Google Scholar 

  2. Segev, R. and Epstein, M., "Some Geometrical Aspects of Continuum Mechanics", Departmental Report No. 153, Dept. of Mech. Engg., University of Calgary, March, 1980

    Google Scholar 

  3. Segev, R., "Differentiable Manifolds and Some Basic Notions of Continuum Mechanics", Ph.D. Thesis, Dept. of Mech. Engg., University of Calgary, May, 1981

    Google Scholar 

  4. Segev, R. and Epstein, M., "The Principle of Virtual Work and Continuum Dynamics", 1981 (unpublished)

    Google Scholar 

  5. Noll, W., "Materially Uniform Simple Bodies with Inhomogeneities", Arch. Rat. Mech. Anal. 27, 1967, 1–32

    Article  MathSciNet  MATH  Google Scholar 

  6. Wang, C.-C., "On the Geometric Structures of Simple Bodies, a Mathematical Foundation for the Theory of Continuous Distributions of Dislocations", Arch. Rat. Mech. Anal. 27, 1967, 33–94

    Article  MathSciNet  MATH  Google Scholar 

  7. Michor, R.W., "Manifolds of Differentiable Mappings", Shiva, London, 1980

    MATH  Google Scholar 

  8. Ebin, D.G. and Marsden, J., "Groups of Diffeomorphisms and the Motion of an Incompressible Fluid", Annals.Math., 92, 1970, 102–163

    Article  MathSciNet  MATH  Google Scholar 

  9. Noll, W., "A Mathematical Theory of the Mechanical Behavoir of Continuous Media", Arch. Rat. Mech. Anal. 2, 1958, 197–226

    Article  MATH  Google Scholar 

  10. Kahn, D.W., "Introduction to Global Analysis", Academic Press, New York, 1980

    MATH  Google Scholar 

  11. Sternberg, S., "Lectures on Differential Geometry", Prentice-Hall, Englewood Cliffs, New Jersey, 1964.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Heinz-Dietrich Doebner Jörg-Dieter Hennig

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Epstein, M., Elzanowski, M., Śniatycki, J. (1985). Locality and uniformity in global elasticity. In: Doebner, HD., Hennig, JD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074591

Download citation

  • DOI: https://doi.org/10.1007/BFb0074591

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15666-6

  • Online ISBN: 978-3-540-39585-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics