Premium
Localization of deformations in elastic‐plastic solids
Author(s) -
Prevost Jean H.
Publication year - 1984
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610080207
Subject(s) - compressibility , finite element method , stiffness , deformation (meteorology) , plasticity , shear (geology) , materials science , structural engineering , mechanics , geometry , mathematical analysis , mathematics , composite material , engineering , physics
Localization of deformation in elastic‐plastic solids subject to plane strain deformation are investigated numerically. It is shown that the localization may be captured accurately in finite element models by employing (1) the elastic‐plastic material stiffness to form the global stiffness, (2) in the case of symmetrical configurations, an imperfection in the form of a weak element, and (3) in the case of incompressible materials, a reduced selective integration scheme which alleviates mesh ‘locking’. Accuracy of the technique is demonstrated by applying it to analyse the classical punch and slope stability problems. Its versatility is illustrated by applying it to analyse finite deformation problems and shear bands formations in associative and non‐associative elastic‐plastic solids.