ASYMPTOTIC DERIVATION OF A GENERAL LINEAR-MODEL FOR THIN-WALLED ELASTIC RODS

Citation
Jm. Rodriguez et Jm. Viano, ASYMPTOTIC DERIVATION OF A GENERAL LINEAR-MODEL FOR THIN-WALLED ELASTIC RODS, Computer methods in applied mechanics and engineering, 147(3-4), 1997, pp. 287-321
Citations number
29
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
ISSN journal
00457825
Volume
147
Issue
3-4
Year of publication
1997
Pages
287 - 321
Database
ISI
SICI code
0045-7825(1997)147:3-4<287:ADOAGL>2.0.ZU;2-D
Abstract
In this work we derive from three-dimensional elasticity a general mat hematically justified theory for thin-walled elastic rods. This theory is obtained as an asymptotic approximation of the three-dimensional l inear model as the area and the thickness of the cross-section becomes successively small. It constitutes an extension of the classical Vlas sov's theory for thin-walled beams (the most complete among models cur rently used in engineering).