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Asymptotic analysis of elastic curved rods

✍ Scribed by Rostislav Vodák

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
300 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider a sequence of curved rods which consist of isotropic material and which are clamped on the lower base or on both bases. We study the asymptotic behaviour of the stress tensor and displacement under the assumptions of linearized elasticity when the cross‐sectional diameter of the rods tends to zero and the body force is given in the particular form. The analysis covers the case of a non‐smooth limit line of centroids. We show how the body force and the choice of the approximating curved rods can affect the strong convergence and the limit form of the stress tensor for the curved rods clamped on both bases. Copyright © 2006 John Wiley & Sons, Ltd.

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