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Implicit integration of plasticity models for granular materials

Ahadi, Aylin LU and Krenk, Steen (2003) In Computer Methods in Applied Mechanics and Engineering 192(31-32). p.3471-3488
Abstract
A stress integration algorithm for granular materials based on fully implicit integration with explicit updating is presented. In the implicit method the solution makes use of the gradient to the potential surface at the final stress state which is unknown. The final stress and hardening parameters are determined solving the non-linear equations iteratively so that the stress increment fulfills the consistency condition. The integration algorithm is applicable for models depending on all the three stress invariants and it is applied to a characteristic state model for granular material. Since tensile stresses are not supported the functions and their derivatives are not representative outside the compressive octant of the principal stress... (More)
A stress integration algorithm for granular materials based on fully implicit integration with explicit updating is presented. In the implicit method the solution makes use of the gradient to the potential surface at the final stress state which is unknown. The final stress and hardening parameters are determined solving the non-linear equations iteratively so that the stress increment fulfills the consistency condition. The integration algorithm is applicable for models depending on all the three stress invariants and it is applied to a characteristic state model for granular material. Since tensile stresses are not supported the functions and their derivatives are not representative outside the compressive octant of the principal stress space. The elastic predictor is therefore preconditioned in order to ensure that the first predictor is within the valid region. Capability and robustness of the integration algorithm are illustrated by simulating both drained and undrained triaxial tests on sand. The algorithm is developed in a standard format which can be implemented in several general purpose finite element codes. It has been implemented as an ABAQUS subroutine, and a traditional geotechnical problem of a flexible strip footing resting on a surface of sand is investigated in order to demonstrate the global accuracy and stability of the numerical solution. (C) 2003 Elsevier B.V. All rights reserved. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
granular materials, integration algorithm, FE implementation, footing, analysis, large strains
in
Computer Methods in Applied Mechanics and Engineering
volume
192
issue
31-32
pages
3471 - 3488
publisher
Elsevier
external identifiers
  • wos:000184679500007
  • scopus:0042626311
ISSN
0045-7825
DOI
language
English
LU publication?
yes
id
6842dcd6-7929-431b-9e37-1a14fd7bcfad (old id 303999)
date added to LUP
2007-08-22 07:34:05
date last changed
2018-06-10 04:33:28
@article{6842dcd6-7929-431b-9e37-1a14fd7bcfad,
  abstract     = {A stress integration algorithm for granular materials based on fully implicit integration with explicit updating is presented. In the implicit method the solution makes use of the gradient to the potential surface at the final stress state which is unknown. The final stress and hardening parameters are determined solving the non-linear equations iteratively so that the stress increment fulfills the consistency condition. The integration algorithm is applicable for models depending on all the three stress invariants and it is applied to a characteristic state model for granular material. Since tensile stresses are not supported the functions and their derivatives are not representative outside the compressive octant of the principal stress space. The elastic predictor is therefore preconditioned in order to ensure that the first predictor is within the valid region. Capability and robustness of the integration algorithm are illustrated by simulating both drained and undrained triaxial tests on sand. The algorithm is developed in a standard format which can be implemented in several general purpose finite element codes. It has been implemented as an ABAQUS subroutine, and a traditional geotechnical problem of a flexible strip footing resting on a surface of sand is investigated in order to demonstrate the global accuracy and stability of the numerical solution. (C) 2003 Elsevier B.V. All rights reserved.},
  author       = {Ahadi, Aylin and Krenk, Steen},
  issn         = {0045-7825},
  keyword      = {granular materials,integration algorithm,FE implementation,footing,analysis,large strains},
  language     = {eng},
  number       = {31-32},
  pages        = {3471--3488},
  publisher    = {Elsevier},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {Implicit integration of plasticity models for granular materials},
  url          = {http://dx.doi.org/},
  volume       = {192},
  year         = {2003},
}