Skip to main content
SpringerLink
Log in

On statical theories and models

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. W. Noll, “Lectures on the Foundations of Continuum Mechanics and Thermodynamics”, Archive for Rational Mechanics and Analysis 52 (1973), pp. 62–92.

    Google Scholar 

  2. C. Truesdell, A First Course in Rational Continuum Mechanics, Part 1, Academic Press, 1977. Second edition in press.

  3. M. E. Gurtin, W. O. Williams, & W. P. Ziemer, “Geometric Measure Theory and the Axioms of Continuum Thermodynamics”, Archive for Rational Mechanics and Analysis 92 (1986), pp. 1–22.

    Google Scholar 

  4. N. Dunford & J. T. Schwartz, Linear Operators, Part 1, Wiley-Interscience, 1971, p. 43.

  5. G. E. Bredon, Sheaf Theory, McGraw-Hill, 1967.

  6. F. W. Warner, Foundations of Differentiable Manifolds and Lie Groups, Springer-Verlag, 1983.

  7. J. R. Strooker, Introduction to Categories, Homological Algebra and Sheaf Cohomology, Cambridge University Press, 1978.

  8. M. Epstein & R. Segev, “Differentiable Manifolds and the Principle of Virtual Work in Continuum Mechanics”, J. Math. Phys. 21 (1980), pp. 1243–1245.

    Google Scholar 

  9. R. Segev, “On the Definition of Forces in Continuum Mechanics”, in Dynamical Systems and Microphysics, eds. A. blaquiere & G. leitmann, Academic Press, 1984, pp. 341–357.

  10. R. Segev, “Forces and the Existence of Stresses in Invariant Continuum Mechanics”, J. Math. Phys. 27 (1986), pp. 163–170.

    Google Scholar 

  11. R. S. Palais, Foundations of Global Non-Linear Analysis, Benjamin, 1968.

  12. N. Krikorian, “Differentiable Structures on Function Spaces”, Transactions of the American Mathematical Society 171 (1972), pp. 67–82.

    Google Scholar 

  13. M. W. Hirsch, Differential Topology, Springer Verlag, 1976, p. 180.

  14. R. Segev & E. Taragan, “Stresses in Mixture Theory”, Intl. J. Eng. Science, 27 (1989), pp. 1497–1506.

    Google Scholar 

  15. D. G. Ebin & J. Marsden, “Groups of Diffeomorphisms and the Motion of an Incompressible Fluid”, Annals of Math. 92 (1970), pp. 102–163.

    Google Scholar 

  16. C. Truesdell, “Sulle Basi della Termomeccanica”, Accademia Nazionale del Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8) 22 (1957), pp. 33–88, 158–166.

    Google Scholar 

  17. R. segev & G. de botton, “On the Consistency Conditions for Force Systems”, International Journal of Nonlinear Mechanics, to appear.

Download references

Author information

Authors and Affiliations

  1. The Pearlstone Center for Aeronautical Engineering Studies Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Reuven Segev

Authors
  1. Reuven Segev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by K. R. Rajagopal

Rights and permissions

Reprints and permissions

About this article

Cite this article

Segev, R. On statical theories and models. Arch. Rational Mech. Anal. 111, 211–223 (1990). https://doi.org/10.1007/BF00400110

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00400110

Keywords

Search

Navigation