A direct theory of affine rods
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
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
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