Abstract
The seminal paper of Mühlhaus and Vardoulakis (1987) led to an extensive study of generalised continuum plasticity models for numerical modelling of localisation of deformation. While different models and numerical implementations have been proposed in the literature, all capable of capturing the initial development of localisation, there is a lack of comparative studies to highlight the differences between models and their numerical implementations. In this work we present a review of existing numerical implementations of Cosserat plasticity models. We then implement a number of these models and finite elements within a commercial code to provide a comparison of the localisation behaviour based on numerical results of a simple test.
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Acknowledgements
This research effort is funded from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013) under REA grant agreement n\(^{\circ }\) 618096 (Generalised Continuum Models and Plasticity–GECOMPL). F. Gulib also acknowledges the support received from the School of Engineering of the University of Edinburgh.
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Gulib, F., Papanicolopulos, SA. (2017). Review and Comparison of Numerical Implementations for Cosserat Plasticity. In: Papamichos, E., Papanastasiou, P., Pasternak, E., Dyskin, A. (eds) Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-56397-8_30
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