Professor William Coombs w.m.coombs@durham.ac.uk
Professor
NURBS plasticity: yield surface evolution and implicit stress integration for isotropic hardening
Coombs, W.M.; Ghaffari Motlagh, Y.
Authors
Y. Ghaffari Motlagh
Abstract
This paper extends the non-uniform rational basis spline (NURBS) plasticity framework of Coombs et al. (2016) to include isotropic hardening of the yield surfaces. The approach allows any smooth isotropic yield envelope to be represented by a NURBS surface. The key extension provided by this paper is that the yield surface can expand or contract through the movement of control points linked to the level of inelastic straining experienced by the material. The model is integrated using a fully implicit backward Euler algorithm that constrains the return path to the yield surface and allows the derivation of the algorithmic consistent tangent to ensure optimum convergence of the global equilibrium equations. This provides a powerful framework for elasto-plastic constitutive models where, unlike the majority of models presented in the literature, the underlying numerical algorithm (and implemented code) remains unchanged for different yield surfaces. The performance of the algorithm is demonstrated, and validated, using both material point and boundary values simulations including plane stress, plane strain and three-dimensional examples for different yield criteria.
Citation
Coombs, W., & Ghaffari Motlagh, Y. (2017). NURBS plasticity: yield surface evolution and implicit stress integration for isotropic hardening. Computer Methods in Applied Mechanics and Engineering, 324, 204-220. https://doi.org/10.1016/j.cma.2017.05.017
Journal Article Type | Article |
---|---|
Acceptance Date | May 11, 2017 |
Online Publication Date | Jun 23, 2017 |
Publication Date | Jun 23, 2017 |
Deposit Date | May 12, 2017 |
Publicly Available Date | Jun 23, 2018 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Print ISSN | 0045-7825 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 324 |
Pages | 204-220 |
DOI | https://doi.org/10.1016/j.cma.2017.05.017 |
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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
© 2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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