DERIVATION OF AN EVOLUTION MODEL FOR NONLINEARLY ELASTIC BEAMS BY ASYMPTOTIC-EXPANSION METHODS

Authors
ALVAREZVAZQUEZ L VIANO JM
Citation
L. Alvarezvazquez et Jm. Viano, DERIVATION OF AN EVOLUTION MODEL FOR NONLINEARLY ELASTIC BEAMS BY ASYMPTOTIC-EXPANSION METHODS, Computer methods in applied mechanics and engineering, 115(1-2), 1994, pp. 53-66
Citations number
28
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
115
Issue
1-2
Year of publication
1994
Pages
53 - 66
Database
ISI
SICI code
0045-7825(1994)115:1-2<53:DOAEMF>2.0.ZU;2-0
Abstract
The asymptotic expansion method has been shown to be a powerful tool i n order to mathematically justify well-known mechanical models and obt ain new ones. In this paper we justify the classical semi-linear evolu tion equation for the bending of an elastic beam submitted to axial fo rces at both ends. In addition to a theoretical study of this limit mo del, in the last section, we obtain a generalization of this model for more complete situations.