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Constitutive identification of affine rods

✍ Scribed by P. Nardinocchi; L. Teresi; A. Tiero

Book ID
104272916
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
108 KB
Volume
30
Category
Article
ISSN
0093-6413

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✦ Synopsis

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 the identification procedure proposed, we compare the dispersion and frequency curves predicted by the two models for an isotropic material and for an anisotropic one.

πŸ“œ SIMILAR VOLUMES

A direct theory of affine rods
A direct theory of affine rods
✍ Paola Nardinocchi; Luciano Teresi; Alessandro Tiero πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 187 KB

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 relation