ASYMPTOTIC THEORY OF ANISOTROPIC CURVED B EAMS

Authors
JAMAL R SANCHEZPALENCIA E
Citation
R. Jamal et E. Sanchezpalencia, ASYMPTOTIC THEORY OF ANISOTROPIC CURVED B EAMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(11), 1996, pp. 1099-1106
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
11
Year of publication
1996
Pages
1099 - 1106
Database
ISI
SICI code
0764-4442(1996)322:11<1099:ATOACB>2.0.ZU;2-B
Abstract
We consider a curved beam, in the context of linear elasticity, anisot ropic in general. We study the asymptotic behavior as the ratio epsilo n of the dimension of the cross-section to the length tends to zero. T he limit displacement is inextensional. The strain-stress relation cou ples in general bending with torsion and traction. In consequence, the description of the displacement also involves two ''hidden variables' ' phi and E(1).