Asymptotic analysis of elastic curved rods
Copyright policy )Asymptotic analysis of elastic curved rods
AbstractWe 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.
- Leibniz Association Germany
- Palacký University, Olomouc Czech Republic
- Weierstrass Institute Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
ddc:510, curved rods, asymptotic analysis, 74B99, low geometrical regularity, curved rods -- low geometrical regularity -- 1-D asymptotic model -- asymptotic analysis, 1-D asymptotic model, 35J25, article, 74K10, 510
ddc:510, curved rods, asymptotic analysis, 74B99, low geometrical regularity, curved rods -- low geometrical regularity -- 1-D asymptotic model -- asymptotic analysis, 1-D asymptotic model, 35J25, article, 74K10, 510
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