Professor William Coombs w.m.coombs@durham.ac.uk
Professor
Algorithmic issues for three-invariant hyperplastic Critical State models
Coombs, W.M.; Crouch, R.S.
Authors
R.S. Crouch
Abstract
Implicit stress integration and the consistent tangents are presented for Critical State hyperplasticity models which include a dependence on the third invariant of stress. An elliptical deviatoric yielding criterion is incorporated within the family of geotechnical models first proposed by Collins and Hilder. An alternative expression for the yield function is proposed and the consequences of different forms of that function are revealed in terms of the stability and efficiency of the stress return algorithm. Errors associated with the integration scheme are presented. It is shown how calibration of the two new material constants is achieved through examining one-dimesional consolidation tests and undrained triaxial compression data. Material point simulations of drained triaxial compression tests are then compared with established experimental results. Strain probe analyses are used to demonstrate the concepts of energy dissipation and stored plastic work along with the robustness of the integration method. Over twenty finite element boundary value problems are then simulated. These include single three-dimensional element tests, plane strain footing analyses and cavity expansion tests. The rapid convergence of the global Newton–Raphson procedure using the consistent tangent is demonstrated in small strain and finite deformation simulations.
Citation
Coombs, W., & Crouch, R. (2011). Algorithmic issues for three-invariant hyperplastic Critical State models. Computer Methods in Applied Mechanics and Engineering, 200(25-28), 2297-2318. https://doi.org/10.1016/j.cma.2011.03.019
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2011 |
Deposit Date | Apr 21, 2011 |
Publicly Available Date | Aug 16, 2012 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Print ISSN | 0045-7825 |
Electronic ISSN | 1879-2138 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 200 |
Issue | 25-28 |
Pages | 2297-2318 |
DOI | https://doi.org/10.1016/j.cma.2011.03.019 |
Keywords | Backward Euler stress integration, Hyperplasticity, Consistent tangent, Finite deformation mechanics, Geomaterials. |
Public URL | https://durham-repository.worktribe.com/output/1510046 |
Files
Accepted Journal Article
(7.7 Mb)
PDF
Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Computer methods in applied mechanics and engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer methods in applied mechanics and engineering, 200, 25-28, 2011, 10.1016/j.cma.2011.03.019
You might also like
On the f fields of inadmissible stress space
(2011)
Presentation / Conference Contribution
Unique Critical State Hyperplasticity
(2011)
Presentation / Conference Contribution
Plane-strain Mohr-Coulomb inelasticity
(2012)
Presentation / Conference Contribution
Reuleaux plasticity: improving Mohr-Coulomb and Drucker-Prager
(2011)
Presentation / Conference Contribution
On the necessity for rotational yielding in anisotropic plasticity
(2009)
Presentation / Conference Contribution
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search