Spatial Problems for Cosserat Rods

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)


In this chapter we study spatial deformations for nonlinearly elastic rods. We collect here the governing partial differential equations for transversely isotropic rods from the preceding chapter. Equations (VIII.2.3) and (VIII.2.4) yield
$${r_s} = {v_k}{d_k},{\partial _s}{d_k} = u \times {d_k},u = {u_k}{d_k}.$$


Phase Portrait Lateral Instability Spatial Problem Constitutive Function Solution Pair 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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