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A plasticity benchmark experiment

Deformation of the lithosphere is characterised by elastic, non-linear viscous and plastic material behaviour. The representation of this complex rheology is a challenge for numerical models of tectonic processes and it is important, therefore, to test rheology assumptions and implementations. A comparison of results run with different codes for a well-defined and constrained setup may help to establish code-independent results and improve codes by learning from any differences.

As no benchmark exists to date of Earth Science codes for plasticity implementations, we propose to design a Mohr-Coulomb plasticity experiment for comparing results of different numerical codes. Our aim is to test different numerical techniques for implementing Mohr-Coulomb plasticity.

The experiment should:

Tests

We will ask codes to pass some rheology (viscous, viscoelastic or elastoplastic) tests to ensure that all codes have the same common basis before continuing to more complex setups.

Circular inclusion

Example of experimental setup inclusion setup Gango - Boris Kaus, PhD thesis, 2005 inclusion Boris

Analytical solutions for pure and simple shear are available for elastic, viscous and viscoelastic rheologies from Schmid and Podladchikov , 2003, Geophys J Int 155. The circular geometry of the inclusion may be difficult to implement in codes with quadrilateral elements.

The experiment will be coordinated by Boris Kaus and Susanne Buiter. The recipe will come here (as soon as we are ready....).

Feedback is always welcome! Please send your suggestions to Susanne Buiter (susanne.buiter-at-ngu.no)