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Corners in Plasticity - Koiter's Theory Revisited

Ottosen, Niels Saabye LU and Ristinmaa, Matti LU (1996) In International Journal of Solids and Structures 33(25). p.3697-3721
Abstract
A general theory for plastic loading at corners is presented that includes Koiter's theory as a special case. This theory is derived within a thermodynamic framework and includes non-associated as well as associated theory. The non-associated theory even allows the number of potential functions to differ from the number of yield functions. The properties of the matrix of plastic moduli as well as of another important matrix are discussed in detail and hardening, perfect and softening plasticity are concisely defined. The existence of limit points is also discussed.



The strain driven format turns out to be the most general. Moreover, consistent loading and unloading criteria are established for general non-associated... (More)
A general theory for plastic loading at corners is presented that includes Koiter's theory as a special case. This theory is derived within a thermodynamic framework and includes non-associated as well as associated theory. The non-associated theory even allows the number of potential functions to differ from the number of yield functions. The properties of the matrix of plastic moduli as well as of another important matrix are discussed in detail and hardening, perfect and softening plasticity are concisely defined. The existence of limit points is also discussed.



The strain driven format turns out to be the most general. Moreover, consistent loading and unloading criteria are established for general non-associated plasticity. An explicit criterion for uniqueness is derived, and finally, some of the general findings are illustrated by means of specific plasticity formulations often encountered in practice. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Solids and Structures
volume
33
issue
25
pages
3697 - 3721
publisher
Elsevier
external identifiers
  • Scopus:0030268758
ISSN
0020-7683
DOI
10.1016/0020-7683(95)00207-3
language
English
LU publication?
yes
id
4867f7fc-3074-4e5f-9c72-907a60f258a1 (old id 1370068)
date added to LUP
2010-08-24 15:59:59
date last changed
2016-04-16 12:47:51
@misc{4867f7fc-3074-4e5f-9c72-907a60f258a1,
  abstract     = {A general theory for plastic loading at corners is presented that includes Koiter's theory as a special case. This theory is derived within a thermodynamic framework and includes non-associated as well as associated theory. The non-associated theory even allows the number of potential functions to differ from the number of yield functions. The properties of the matrix of plastic moduli as well as of another important matrix are discussed in detail and hardening, perfect and softening plasticity are concisely defined. The existence of limit points is also discussed.<br/><br>
<br/><br>
The strain driven format turns out to be the most general. Moreover, consistent loading and unloading criteria are established for general non-associated plasticity. An explicit criterion for uniqueness is derived, and finally, some of the general findings are illustrated by means of specific plasticity formulations often encountered in practice.},
  author       = {Ottosen, Niels Saabye and Ristinmaa, Matti},
  issn         = {0020-7683},
  language     = {eng},
  number       = {25},
  pages        = {3697--3721},
  publisher    = {ARRAY(0x8aafa68)},
  series       = {International Journal of Solids and Structures},
  title        = {Corners in Plasticity - Koiter's Theory Revisited},
  url          = {http://dx.doi.org/10.1016/0020-7683(95)00207-3},
  volume       = {33},
  year         = {1996},
}