A comparison of viscoplasticity formats and algorithms
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2223702
- author
- Runesson, Kenneth ; Ristinmaa, Matti LU and Mähler, Lennart
- organization
- publishing date
- 1999
- 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
- publisher
- John Wiley & Sons Inc.
- 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
- 2016-04-04 13:54:36
- date last changed
- 2022-01-30 01:07:20
@article{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}}, keywords = {{Algorithmic Tangential Stiffness tensor; viscoplasticity; Closest-Point-Projection Method}}, language = {{eng}}, number = {{1}}, pages = {{75--98}}, publisher = {{John Wiley & Sons Inc.}}, 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}}, doi = {{10.1002/(SICI)1099-1484(199901)4:1<75::AID-CFM60>3.0.CO;2-4}}, volume = {{4}}, year = {{1999}}, }