Accession Number:

AD0770048

Title:

On the Theory of Rods. Part II. Developments by Direct Approach.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY DEPT OF MECHANICAL ENGINEERING

Personal Author(s):

• Green,A. E.
• Naghdi,P. M.
• Wenner,M. L.

Report Date:

1973-11-01

Pagination or Media Count:

58.0

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

Descriptors:

• *RODS
• *ELASTIC PROPERTIES
• CONTINUUM MECHANICS
• APPROXIMATION(MATHEMATICS)
• TENSOR ANALYSIS
• THEOREMS

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE