Open AccessEtats limites plastiques en présence de l’écrouissage isotrope
Author(s) -
Ali Chaaba,
Lahbib Bousshine
Publication year - 2009
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.18.525-545
Subject(s) - von mises yield criterion , plasticity , differentiable function , isotropy , compressibility , limit analysis , limit (mathematics) , metalworking , dissipation , hardening (computing) , mathematics , finite element method , structural engineering , mathematical analysis , materials science , mechanics , physics , engineering , mechanical engineering , composite material , layer (electronics) , quantum mechanics , thermodynamics
Either in Structural Engineering or Metalworking processes by plastic deformation, the limit analysis is among the direct methods of the plastic collapse assessment. Basing on the kinematical approach in the sense of limit analysis and using finite elements method, the main objective of this work is to deal with large plastic deformations of von Mises’s materials taking into account isotropic hardening. In order to overcome difficulties caused by the non differentiability of plastic dissipation, we adopt a regularization method originally developed for compressible materials. In order to follow up the sequences of large deformations, we have used the sequential limit analysis procedure; it consists in the updating of material properties and geometrical configuration after each sequence.