Incompressibility in rod and shell theories

Authors
Antman, SS Schuricht, F
Citation
Ss. Antman et F. Schuricht, Incompressibility in rod and shell theories, RAIRO-M MOD, 33(2), 1999, pp. 289-304
Citations number
12
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
2
Year of publication
1999
Pages
289 - 304
Database
ISI
SICI code
0764-583X(199903/04)33:2<289:IIRAST>2.0.ZU;2-X
Abstract
We treat the problem of constructing exact theories of rods and shells for thin incompressible bodies. We employ a systematic method that consists in imposing constraints to seduce the number of degrees of freedom bf each cro ss section to a finite number. We show that it is very difficult to produce theories that exactly preserve the incompressibility and we show that it i s impossible to do so for naive theories. In particular, many exact theorie s have nonlocal effects.