Geoscientific Model Development
Geoscientific Model Development
GMD
Articles | Volume 18, issue 19
Articles | Volume 18, issue 19
https://doi.org/10.5194/gmd-18-7035-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/gmd-18-7035-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 18, issue 19
Development and technical paper
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10 Oct 2025
Development and technical paper | Highlight paper |  | 10 Oct 2025

A dilatant visco-elasto-viscoplasticity model with globally continuous tensile cap: stable two-field mixed formulation

Anton A. Popov, Nicolas Berlie, and Boris J. P. Kaus

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Editorial statement
The paper by Popov et al. provides a comprehensive insight into overcoming challenges related to modelling the brittle-ductile transition in materials. This study offers a detailed description and bridges to similar concepts used beyond the geosciences, such as in engineering.
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Short summary
We present a simple plasticity model that can be used for robust modeling of strain localization in both shear and tensile failure regimes. The new model overcomes the difficulty related to combining these regimes and enables for particularly simple and reliable numerical implementation, which delivers regularized solutions that are insensitive to mesh resolution. We describe algorithmic details and demonstrate the applications to a number of relevant strain localization problems.
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Special issue
Advances in numerical modelling of geological processes