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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.

No benchmark exists to date of Earth Science codes for plasticity implementations. In 2005*, we proposed to design a Mohr-Coulomb plasticity experiment for comparing results of different numerical codes with different numerical techniques.

The experiment should:

All participating codes would first be required 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.

*Susanne Buiter, Boris Kaus, and Neil Mancktelow, 2005, Discussion on designing a plasticity benchmark experiment, 9th International workshop on Numerical Modeling of Mantle Convection and Lithosphere Dynamics, Erice, Italy.


Example test: 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.

Status

05.07.2016: This has not been followed up so far, but suggestions and especially volunteers for organising a plasticitiy benchmark are very welcome! Just drop an e-mail to Susanne Buiter (susanne.buiter-at-ngu.no).