Variational theory of deformations of curved, twisted, and extensible elastic rods
Abstract
The variational theory of three dimensional deformations of curved, twisted, and extensible elastic rods is obtained based entirely on the kinematical variables position and rotations. The constitutive relations that define the resistive couples and the axial force as gradients of the strain energy function are established. A candidate for the strain energy function on the basis of classical assumptions is presented.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- January 1993
- Bibcode:
- 1993STIN...9324266T
- Keywords:
-
- Constitutive Equations;
- Elastic Properties;
- Equilibrium Equations;
- Kinematic Equations;
- Rods;
- Strain Energy Methods;
- Variational Principles;
- Axial Loads;
- Bending Moments;
- Elastic Deformation;
- Structural Mechanics