On the Material Symmetry of Elastic Rods

  • Cheng Luo
  • Oliver M. O'Reilly


This paper presents a treatment of material symmetry for hyperelastic rods. The rod theory of interest is based on a Cosserat (or directed) curve with two director fields, and was developed in a series of works by Green, Naghdi and several of their co-workers. The treatment is based on Murdoch and Cohen's work on material symmetry of Cosserat surfaces. Two material symmetry groups are discussed: one pertains to the strain-energy function, while the other pertains to the response functions. The paper closes by showing how the treatment relates to the form-invariant approach used in Green and Naghdi's papers and a treatment proposed recently by Cohen.

material symmetry elastic rods Cosserat theory of rods 


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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Cheng Luo
    • 1
  • Oliver M. O'Reilly
    • 2
  1. 1.Department of Mechanical EngineeringUniversity of California at BerkeleyBerkeleyU.S.A.
  2. 2.Department of Mechanical EngineeringUniversity of California at BerkeleyBerkeleyU.S.A.

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