A properly invariant theory of infinitesimal deformations of an elastic Cosserat point

  • Oliver M. O'Reilly
Original Papers


In the context of a mechanical theory of a Cosserat point developed by Green and Naghdi [1=Quart. J. Mech. and Appl. Math.,44, 335–355 (1991)], this paper establishes a properly invariant theory for infinitesimal deformations. The invariant theory is valid for an elastic Cosserat point with an arbitrary number of directors. Its construction is based on a method developed by Casey and Naghdi [2=Arch. Rational Mech. Anal.,76, 355–391 (1981)] for unconstrained non-polar elastic bodies.


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Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • Oliver M. O'Reilly
    • 1
  1. 1.Dept. of Mechanical EngineeringUniversity of California at BerkeleyBerkeleyUSA

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