On the Theory of Rods. Part II. Developments by Direct Approach.
Abstract
The paper, which may be regarded as a companion to part 1 under the same title, is concerned with some aspects of both the nonlinear and the linear theories of elastic rods by a direct approach based on the theory of a Cosserat curve with two directors. Special attention is given to the development of the linear isothermal theory of straight isotropic rods of variable cross-section possessing two axes of symmetry. The resulting system of equations, which are applicable to rods of non-uniform section, separate into those appropriate for extensional, torsional and flexural modes of deformation. Application of these results to torsion and flexure of non-uniform rods are considered, and the problem of identification of constitutive coefficients for rods of uniform cross-section is dealt with at some length. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1973
- Accession Number
- AD0770048
Entities
People
- Alex E.S. Green
- M. L. Wenner
- Paul M. Naghdi
Organizations
- University of California, Berkeley