Journal of Elasticity

, Volume 39, Issue 2, pp 97–131 | Cite as

A properly invariant theory of small deformations superposed on large deformations of an elastic rod

  • Oliver M. O'Reilly
Article

Abstract

In the context of the direct or Cosserat theory of rods developed by Green, Naghdi and several of their co-workers, this paper is concerned with the development of a theory of small deformations which are superposed on large deformations. The resulting theory is properly invariant under all superposed rigid body motions. Furthermore, it is also valid for elastic rods which are subject to kinematical constraints, and it specializes to a linear theory of an elastic rod which is invariant under superposed rigid body motions. The construction of these theories is based on the method developed by Casey & Naghdi [1] who established similar theories for unconstrained nonpolar elastic bodies.

AMS subject classification (1991)

73K05 73G05 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Oliver M. O'Reilly
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of California at BerkeleyBerkeleyU.S.A.

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