Skip to main content
SpringerLink
Log in

On local inertia in Cosserat continua

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

A new equation governing local rotational inertia is obtained here for all theories employing the Cosserat continuum with deformable director triad. This equation represents a condition necessary to insure the invariance of the rotational kinetic energy under superposed rigid body motions.

Zusammenfassung

Eine neue Gleichung, die die lokale rotationelle Trägheit bestimmt, wird angegeben für alle Theorien die das Cosserat-Kontinuum mit verformbarer Richtungs-Triade benützen. Diese Gleichung gibt die notwendige Bedingung für die Invarianz der rotationellen kinetischen Energie bei Ueberlagerung der Bewegung eines starren Körpers.

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

Similar content being viewed by others

References

  1. E. Cosserat andF. Cosserat Théorie des corps déformables (Paris 1909).

  2. S.C. Cowin,Polar Fluids, Phys. Fluids11, 1919 (1968).

    Google Scholar 

  3. S.C. Cowin,Stress Functions for Cosserat Elasticity, Int. J. Solids Structures6, 389 (1970).

    Google Scholar 

  4. A.C. Eringen,Simple Microfluids, Int. J. Engr. Sci.2, 205 (1964).

    Google Scholar 

  5. S.J. Allen, C.N. DeSilva, andK.A. Kline,Theory of Simple Deformable Directed Fluids, Phys. Fluids10, 2551 (1967).

    Google Scholar 

  6. A.E. Green andR.S. Rivlin,Multipolar Continuum Mechanics, Arch. Rational Mech. Anal.17, 113 (1964).

    Google Scholar 

  7. A.E. Green andR.S. Rivlin,On Cauchy's Equations of Motion, Z. angew. Math. Phys.15, 290 (1964).

    Google Scholar 

  8. J.G. Oldroyd,On the Formulation of Rheological Equations of State, Proc. Roy. Soc. Lond.200A, 523 (1950).

    Google Scholar 

  9. P.N. Kaloni and C.N. DeSilva, A Theory of Oriented Fluids,Phys. Fluids, 13, 1708 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mechanical Engineering, Tulane University, New Orleans, Louisiana, USA

    Stephen C. Cowin

Authors
  1. Stephen C. Cowin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cowin, S.C. On local inertia in Cosserat continua. Journal of Applied Mathematics and Physics (ZAMP) 26, 51–59 (1975). https://doi.org/10.1007/BF01596278

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01596278

Keywords

Search

Navigation