Linear curved rod model. General curve

Authors
Jurak, M Tambaca, J
Citation
M. Jurak et J. Tambaca, Linear curved rod model. General curve, MATH MOD M, 11(7), 2001, pp. 1237-1252
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN journal
02182025 → ACNP
Volume
11
Issue
7
Year of publication
2001
Pages
1237 - 1252
Database
ISI
SICI code
0218-2025(200110)11:7<1237:LCRMGC>2.0.ZU;2-W
Abstract
A one-dimensional model of a curved rod is derived from the three-dimension al linearized elasticity. No positivity assumption on the curvature of the central line of the curved rod is made. The model is obtained by taking the limit in the equilibrium equation of the three-dimensional elastic rod whe n the thickness of the rod goes to zero. The appropriate convergence result is proved.