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A Newton-Schur alternative to the consistent tangent approach in computational plasticity

Kulkarni, Deepak ; Torterelli, Daniel and Wallin, Mathias LU (2007) In Computer Methods in Applied Mechanics and Engineering 1996(7). p.1169-1177
Abstract
We introduce a Newton-Schur alternative to the consistent tangent approach in plasticity computations and show that the structure of the consistent tangent approach is preserved in the new Newton-Schur approach. However, the local constitutive iterations used in the conventional computational plasticity analyses are eliminated when using the Newton-Schur approach. Two numerical examples are presented which illustrate the efficiencies gained by the new approach.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Consistent tangent approach, Schur's complement, Computational plasticity
in
Computer Methods in Applied Mechanics and Engineering
volume
1996
issue
7
pages
1169 - 1177
publisher
Elsevier
external identifiers
  • wos:000242988200001
  • scopus:33750962893
ISSN
0045-7825
DOI
10.1016/j.cma.2006.06.013
language
English
LU publication?
yes
id
89c8a6c0-8ecf-4aea-adee-86508fb0d94b (old id 609410)
date added to LUP
2016-04-04 10:14:31
date last changed
2025-10-14 12:41:27
@article{89c8a6c0-8ecf-4aea-adee-86508fb0d94b,
  abstract     = {{We introduce a Newton-Schur alternative to the consistent tangent approach in plasticity computations and show that the structure of the consistent tangent approach is preserved in the new Newton-Schur approach. However, the local constitutive iterations used in the conventional computational plasticity analyses are eliminated when using the Newton-Schur approach. Two numerical examples are presented which illustrate the efficiencies gained by the new approach.}},
  author       = {{Kulkarni, Deepak and Torterelli, Daniel and Wallin, Mathias}},
  issn         = {{0045-7825}},
  keywords     = {{Consistent tangent approach; Schur's complement; Computational plasticity}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{1169--1177}},
  publisher    = {{Elsevier}},
  series       = {{Computer Methods in Applied Mechanics and Engineering}},
  title        = {{A Newton-Schur alternative to the consistent tangent approach in computational plasticity}},
  url          = {{http://dx.doi.org/10.1016/j.cma.2006.06.013}},
  doi          = {{10.1016/j.cma.2006.06.013}},
  volume       = {{1996}},
  year         = {{2007}},
}