Premium
Some observations on element performance in isochoric and dilatant plastic flow
Author(s) -
De Borst René,
Groen Arend E.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620381704
Subject(s) - dilatant , isochoric process , plasticity , mechanics , finite element method , materials science , plane stress , spurious relationship , flow (mathematics) , structural engineering , mathematics , engineering , physics , composite material , thermodynamics , statistics
The performance of finite elements is scrutinized in isochoric and dilatant/contractant plastic flow. Standard displacement based elements, uniformly and selectively integrated elements, and elements with augmented strain rate fields are considered in plane‐strain, axisymmetric and three‐dimensional configurations with particular reference to the kinematic constraint imposed by dilatant/contractant plastic flow. It turns out that findings for isochoric deformations do not necessarily carry over to cases with plastic dilatancy or contraction. For the elements with augmented strain rate fields the danger of spurious mechanisms in ideal plasticity is brought out. A particular strategy which augments only the normal strain rates at the expense of a lesser improvement for the bending behaviour does not suffer from the possibility of spurious modes, while preserving the ability to accommodate dilatant/contractant plastic flow. Illustrative examples on plane‐strain, axisymmetry and three‐dimensional structures are included which support the above findings.