Advanced

Consistent stiffness matrix in FE calculations of elasto-plastic bodies

Ristinmaa, Matti LU (1994) In Computers & Structures 53(1). p.93-103
Abstract
In order to preserve the quadratic convergence of the Newton-Raphson method applied to elasto-plastic finite element calculations, the consistent stiffness matrix must be used. Here, the consistent stiffness matrix is derived for the generalized trapezoidal rule. Special attention is paid to the case in which the integration is performed from an elastic to an elasto-plastic state and it is shown that the movement of the contact stress influences the consistent stiffness matrix significantly. As an example, the von Mises material model with mixed isotropic/kinematic hardening is considered and numerical results are presented showing the superiority of the consistent stiffness matrix derived here not only compared with the continuum... (More)
In order to preserve the quadratic convergence of the Newton-Raphson method applied to elasto-plastic finite element calculations, the consistent stiffness matrix must be used. Here, the consistent stiffness matrix is derived for the generalized trapezoidal rule. Special attention is paid to the case in which the integration is performed from an elastic to an elasto-plastic state and it is shown that the movement of the contact stress influences the consistent stiffness matrix significantly. As an example, the von Mises material model with mixed isotropic/kinematic hardening is considered and numerical results are presented showing the superiority of the consistent stiffness matrix derived here not only compared with the continuum stiffness matrix, but also compared with the traditional consistent stiffness matrix where the influence of the contact point is ignored. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Finite element, elasto-plasticty
in
Computers & Structures
volume
53
issue
1
pages
93 - 103
publisher
Elsevier
external identifiers
  • scopus:0028763114
ISSN
0045-7949
DOI
10.1016/0045-7949(94)90133-3
language
English
LU publication?
yes
id
d43cc677-ded7-4591-87ec-f82f00046642 (old id 2223669)
date added to LUP
2011-12-06 13:59:53
date last changed
2017-01-01 07:40:59
@article{d43cc677-ded7-4591-87ec-f82f00046642,
  abstract     = {In order to preserve the quadratic convergence of the Newton-Raphson method applied to elasto-plastic finite element calculations, the consistent stiffness matrix must be used. Here, the consistent stiffness matrix is derived for the generalized trapezoidal rule. Special attention is paid to the case in which the integration is performed from an elastic to an elasto-plastic state and it is shown that the movement of the contact stress influences the consistent stiffness matrix significantly. As an example, the von Mises material model with mixed isotropic/kinematic hardening is considered and numerical results are presented showing the superiority of the consistent stiffness matrix derived here not only compared with the continuum stiffness matrix, but also compared with the traditional consistent stiffness matrix where the influence of the contact point is ignored.},
  author       = {Ristinmaa, Matti},
  issn         = {0045-7949},
  keyword      = {Finite element,elasto-plasticty},
  language     = {eng},
  number       = {1},
  pages        = {93--103},
  publisher    = {Elsevier},
  series       = {Computers & Structures},
  title        = {Consistent stiffness matrix in FE calculations of elasto-plastic bodies},
  url          = {http://dx.doi.org/10.1016/0045-7949(94)90133-3},
  volume       = {53},
  year         = {1994},
}