%0 Journal Article
%T Confined buckling of inextensible rods by convex difference algorithms
%+ Laboratoire de Mécanique et Génie Civil (LMGC)
%A Alart, Pierre
%A Pagano, Stéphane
%< avec comité de lecture
%Z LMGC:02-012
%J Comptes Rendus Mécanique
%I Elsevier
%V 330
%P 819-824
%8 2002
%D 2002
%R 10.1016/S1631-0721(02)01547-4
%K computational solid mechanics
%K nonlinear mechanics
%K local minimization
%K convex difference
%K augmented Lagrangian
%K confined buckling
%K NONCONVEX
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]
%Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles
%X In this Note we present an approach to determine the local minima of a specific class of minimization problems. Attention is focused on the inextensibility condition of flexible rods expressed as a nonconvex constraint. Two algorithms are derived from a special splitting of the Lagrangian into the difference of two convex functions (DC). They are compared to the augmented Lagrangian methods used in this context. These DC formulations are easily extended to contact problems and applied to the determination of confined buckling shapes. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
%G English
%L hal-00514568
%U https://hal.science/hal-00514568
%~ CNRS
%~ LMGC
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021