Journal of Elasticity

, Volume 48, Issue 3, pp 193–216 | Cite as

Elastic Rods with Moderate Roration

  • Oliver M. O'Reilly
  • Jeffrey S. Turcotte
Article

Abstract

Based on the theory of a directed or Cosserat curve of Green, Naghdi and several of their co-workers, several properly invariant approximate theories of an elastic rod are developed. The approximate theories are applicable when a rotation tensor associated with the motion of the rod is moderate. In one of these theories, some of the strains are moderate while others are small. A second theory where all of the strains are small is also developed.

Cosserat rod theory elastic rods moderate rotation theories constrained rod theories 

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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Oliver M. O'Reilly
    • 1
  • Jeffrey S. Turcotte
    • 2
  1. 1.Department of Mechanical EngineeringUniversity of CaliforniaBerkeleyU.S.A
  2. 2.Department of Aeronautics and AstronauticsAir Force Institute of TechnologyU.S.A

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