Angular Momentum in a Special Nonlinear Elastic Rod

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In the constrained Cosserat theory of a rod with a rigid cross-section, the balance of angular momentum is satisfied by a restriction on the constitutive equations that requires a second order tensor to be symmetric. The kinematics of the rod are determined by satisfying the balances of linear and director momentum and kinematic constraints. In contrast, the Antman model for a special Cosserat theory of rods proposes constitutive equations directly for the force and mechanical moment applied to the rod and the kinematics are determined by the balances of linear and angular momentum. These two models differ by their treatment of angular momentum.

Original languageEnglish
JournalJournal of Elasticity
StateAccepted/In press - 2024


  • 74A20
  • 74K15
  • 74L15
  • Angular momentum
  • Constraints
  • Cosserat rod theory
  • Nonlinear hyperelastic
  • Rigid cross-section
  • Tangential shear deformation

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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