H-ADAPTIVE FINITE-ELEMENT METHODS FOR DYNAMIC PROBLEMS, WITH EMPHASISON LOCALIZATION

Authors
BELYTSCHKO T TABBARA M
Citation
T. Belytschko et M. Tabbara, H-ADAPTIVE FINITE-ELEMENT METHODS FOR DYNAMIC PROBLEMS, WITH EMPHASISON LOCALIZATION, International journal for numerical methods in engineering, 36(24), 1993, pp. 4245-4265
Citations number
23
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
Journal title
International journal for numerical methods in engineering → ACNP
ISSN journal
00295981
Volume
36
Issue
24
Year of publication
1993
Pages
4245 - 4265
Database
ISI
SICI code
0029-5981(1993)36:24<4245:HFMFDP>2.0.ZU;2-W
Abstract
H-adaptive procedures for the finite element solution of transient sol id mechanics problems are studied, with particular emphasis on problem s involving localization due to material instability. Various types of error criteria are examined and it is shown that for problems involvi ng plastic response or localization, an error criterion based on an L2 -projection of strains is the most effective for the constant strain e lements considered here. Examples of one-dimensional and two-dimension al localization (shear band formation) problems are given.