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Consequences of Dynamic Yield Surface in Viscoplasticity

Ristinmaa, Matti LU and Ottosen, Niels Saabye LU (2000) In International Journal of Solids and Structures 37(33). p.4601-4622
Abstract
A theory of viscoplasticity is formulated within a thermodynamic concept. The key point is the postulate of a dynamic yield surface, which allows us to take advantage of the postulate of maximum dissipation to derive an associated formulation of the evolutions laws for the internal variables without using penalty techniques that only hold in the limit it when viscoplasticity degenerates to inviscid plasticity. Even a non-associated formulation is presented. Within this general formulation, a particular format of the dynamic yield function enables us to derive the static yield function in a consistent manner. Hardening, perfect and softening viscoplasticity is also defined in a consistent manner. The approach even includes associated and... (More)
A theory of viscoplasticity is formulated within a thermodynamic concept. The key point is the postulate of a dynamic yield surface, which allows us to take advantage of the postulate of maximum dissipation to derive an associated formulation of the evolutions laws for the internal variables without using penalty techniques that only hold in the limit it when viscoplasticity degenerates to inviscid plasticity. Even a non-associated formulation is presented. Within this general formulation, a particular format of the dynamic yield function enables us to derive the static yield function in a consistent manner. Hardening, perfect and softening viscoplasticity is also defined in a consistent manner. The approach even includes associated and non-associated viscoplasticity where corners exist on the yield and potential surfaces. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Flow-rule, Creep, Viscoplasticity, Thermodynamic of solids
in
International Journal of Solids and Structures
volume
37
issue
33
pages
4601 - 4622
publisher
Elsevier
external identifiers
  • Scopus:0034041787
ISSN
0020-7683
DOI
10.1016/S0020-7683(99)00158-4
language
English
LU publication?
yes
id
a98a34e2-3b0b-480c-9e1e-948e7210838d (old id 1370053)
date added to LUP
2010-08-24 15:19:32
date last changed
2016-11-06 04:34:01
@misc{a98a34e2-3b0b-480c-9e1e-948e7210838d,
  abstract     = {A theory of viscoplasticity is formulated within a thermodynamic concept. The key point is the postulate of a dynamic yield surface, which allows us to take advantage of the postulate of maximum dissipation to derive an associated formulation of the evolutions laws for the internal variables without using penalty techniques that only hold in the limit it when viscoplasticity degenerates to inviscid plasticity. Even a non-associated formulation is presented. Within this general formulation, a particular format of the dynamic yield function enables us to derive the static yield function in a consistent manner. Hardening, perfect and softening viscoplasticity is also defined in a consistent manner. The approach even includes associated and non-associated viscoplasticity where corners exist on the yield and potential surfaces.},
  author       = {Ristinmaa, Matti and Ottosen, Niels Saabye},
  issn         = {0020-7683},
  keyword      = {Flow-rule,Creep,Viscoplasticity,Thermodynamic of solids},
  language     = {eng},
  number       = {33},
  pages        = {4601--4622},
  publisher    = {ARRAY(0xaad2f10)},
  series       = {International Journal of Solids and Structures},
  title        = {Consequences of Dynamic Yield Surface in Viscoplasticity},
  url          = {http://dx.doi.org/10.1016/S0020-7683(99)00158-4},
  volume       = {37},
  year         = {2000},
}