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A direct theory of affine rods

โœ Scribed by Paola Nardinocchi; Luciano Teresi; Alessandro Tiero


Book ID
104372897
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
187 KB
Volume
21
Category
Article
ISSN
0997-7538

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โœฆ Synopsis


A direct theory of affine rods is developed from first principles. To concentrate on the central aspects of the model, we use an axiomatic format and tools from Lie group theory. To facilitate comparisons with other theories, we propose an identification procedure to derive the constitutive relations of the affine rod from those of a rod modeled as a three-dimensional body.


๐Ÿ“œ SIMILAR VOLUMES


A direct theory of affine bodies
โœ P. Nardinocchi; L. Teresi; A. Tiero ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB
Constitutive identification of affine ro
โœ P. Nardinocchi; L. Teresi; A. Tiero ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

We present an identification procedure based on a version of the de Saint-Venant semi-inverse method for transferring constitutive information from a two-dimensional Cauchy continuum model to a one-dimensional affine rod model of a two-dimensional slender body. To test and evaluate the accuracy of t

On a nonlinear theory of thin rods
โœ Albert C.J. Luo ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB
A linear theory of straight elastic rods
โœ A. E. Green; N. Laws; P. M. Naghdi ๐Ÿ“‚ Article ๐Ÿ“… 1967 ๐Ÿ› Springer ๐ŸŒ English โš– 598 KB
Constrained theories of rods
โœ P. M. Naghdi; M. B. Rubin ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 854 KB

Utilizing a nonlinear theory of rods, which is formulated on the basis of a Cosserat curve with two directors, a number of constrained theories of various degrees of generality are developed. In addition to the nonlinear version of the Bernoulli-Euler beam theory (discussed for completeness and clar