ASYMPTOTIC DERIVATION OF A GENERAL BENDING MODEL FOR A WEAKLY CURVED ROD

Authors
ALVAREZDIOS JA VIANO JM
Citation
Ja. Alvarezdios et Jm. Viano, ASYMPTOTIC DERIVATION OF A GENERAL BENDING MODEL FOR A WEAKLY CURVED ROD, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 463-464
Citations number
6
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
2
Pages
463 - 464
Database
ISI
SICI code
0044-2267(1996)76:<463:ADOAGB>2.0.ZU;2-Q
Abstract
We present a bending model for a weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross section. The model is deduced in a rigorous mathematical way fr om classical tridimensional linear elasticity theory via taking the li mit as the diameter of the cross section tends to zero. This model is valid for general cases of applied forces and material, and it allows us to calculate displacements, axial stresses, bending moments and she ar forc.