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A comparison of viscoplasticity formats and algorithms

Runesson, Kenneth; Ristinmaa, Matti LU and Mähler, Lennart (1999) In Mechanics of Cohesive-frictional Materials 4(1). p.75-98
Abstract
Algorithmic issues for the two thermodynamically consistent viscoplastic formulations of Perzyna and Duvaut–Lions are discussed. It is shown that it is simple to avoid the numerical problems associated with a small relaxation time without resorting to elaborate perturbation techniques, as suggested in the literature. A systematic numerical investigation of the efficiency of Newton iterations, that employ the Algorithmic Tangential Stiffness (ATS) tensor, as compared to various approximations, is carried out for a cohesive-frictional model with non-linear isotropic hardening. Generally, the ATS-tensor is formulated in such an explicit fashion that its tensorial structure resembles that of the underlying rate-independent continuum stiffness.... (More)
Algorithmic issues for the two thermodynamically consistent viscoplastic formulations of Perzyna and Duvaut–Lions are discussed. It is shown that it is simple to avoid the numerical problems associated with a small relaxation time without resorting to elaborate perturbation techniques, as suggested in the literature. A systematic numerical investigation of the efficiency of Newton iterations, that employ the Algorithmic Tangential Stiffness (ATS) tensor, as compared to various approximations, is carried out for a cohesive-frictional model with non-linear isotropic hardening. Generally, the ATS-tensor is formulated in such an explicit fashion that its tensorial structure resembles that of the underlying rate-independent continuum stiffness. For both the Perzyna and the Duvaut–Lions format, it appears that the ATS-tensor is obtained by a proper augmentation of the corresponding rate-independent ATS-tensor. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Algorithmic Tangential Stiffness tensor, viscoplasticity, Closest-Point-Projection Method
in
Mechanics of Cohesive-frictional Materials
volume
4
issue
1
pages
75 - 98
external identifiers
  • Scopus:0032656654
DOI
10.1002/(SICI)1099-1484(199901)4:1<75::AID-CFM60>3.0.CO;2-4
language
English
LU publication?
yes
id
9c38937d-25e0-47e3-b7cb-817c6fdd883e (old id 2223702)
date added to LUP
2011-12-06 13:21:10
date last changed
2016-10-13 04:58:29
@misc{9c38937d-25e0-47e3-b7cb-817c6fdd883e,
  abstract     = {Algorithmic issues for the two thermodynamically consistent viscoplastic formulations of Perzyna and Duvaut–Lions are discussed. It is shown that it is simple to avoid the numerical problems associated with a small relaxation time without resorting to elaborate perturbation techniques, as suggested in the literature. A systematic numerical investigation of the efficiency of Newton iterations, that employ the Algorithmic Tangential Stiffness (ATS) tensor, as compared to various approximations, is carried out for a cohesive-frictional model with non-linear isotropic hardening. Generally, the ATS-tensor is formulated in such an explicit fashion that its tensorial structure resembles that of the underlying rate-independent continuum stiffness. For both the Perzyna and the Duvaut–Lions format, it appears that the ATS-tensor is obtained by a proper augmentation of the corresponding rate-independent ATS-tensor.},
  author       = {Runesson, Kenneth and Ristinmaa, Matti and Mähler, Lennart},
  keyword      = {Algorithmic Tangential Stiffness tensor,viscoplasticity,Closest-Point-Projection Method},
  language     = {eng},
  number       = {1},
  pages        = {75--98},
  series       = {Mechanics of Cohesive-frictional Materials},
  title        = {A comparison of viscoplasticity formats and algorithms},
  url          = {http://dx.doi.org/10.1002/(SICI)1099-1484(199901)4:1<75::AID-CFM60>3.0.CO;2-4},
  volume       = {4},
  year         = {1999},
}