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NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity

Coombs, W.M.; Petit, O.A.; Ghaffari Motlagh, Y.

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Authors

O.A. Petit

Y. Ghaffari Motlagh



Abstract

In numerical analysis the failure of engineering materials is controlled through specifying yield envelopes (or surfaces) that bound the allowable stress in the material. However, each surface is distinct and requires a specific equation describing the shape of the surface to be formulated in each case. These equations impact on the numerical implementation, specifically relating to stress integration, of the models and therefore a separate algorithm must be constructed for each model. This paper presents, for the first time, a way to construct yield surfaces using techniques from non-uniform rational basis spline (NURBS) surfaces, such that any isotropic convex yield envelope can be represented within the same framework. These surfaces are combined with an implicit backward-Euler-type stress integration algorithm to provide a flexible numerical framework for computational plasticity. The algorithm is inherently stable as the iterative process starts and remains on the yield surface throughout the stress integration. The performance of the algorithm is explored using both material point investigations and boundary value analyses demonstrating that the framework can be applied to a variety of plasticity models.

Citation

Coombs, W., Petit, O., & Ghaffari Motlagh, Y. (2016). NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity. Computer Methods in Applied Mechanics and Engineering, 304, 342-358. https://doi.org/10.1016/j.cma.2016.02.025

Journal Article Type Article
Acceptance Date Feb 20, 2016
Online Publication Date Mar 3, 2016
Publication Date Mar 3, 2016
Deposit Date Feb 22, 2016
Publicly Available Date Mar 28, 2024
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 304
Pages 342-358
DOI https://doi.org/10.1016/j.cma.2016.02.025

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