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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 18, 1993
Accession Number
ADA260331

Entities

People

  • Dimitris C Lagoudas
  • Iradj G. Tadjbakhsh

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Bending Moments
  • Boundaries
  • Cartesian Coordinates
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Euler Equations
  • Geometry
  • Materials
  • Rotation
  • Shear Modulus
  • Three Dimensional
  • Variational Equations

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Fluid Dynamics.