Elasticity, Yielding and Episodicity in Simple Models of Mantle Convection

Muhlhaus, Hans-Bernd, Davies, Matt and Moresi, Louis (2004) Elasticity, Yielding and Episodicity in Simple Models of Mantle Convection.

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Title Elasticity, Yielding and Episodicity in Simple Models of Mantle Convection
Abstract/Summary We explore the implications of refinements in the mechanical description of planetary constituents on the convection modes predicted by finite element simulations. The refinements consist in the inclusion of incremental elasticity, plasticity (yielding) and multiple simultaneous creep mechanisms in addition to the usual visco-plastic models employed in the context of unified plate-mantle models. The main emphasis of this paper rests on the constitutive and computational formulation of the model. We apply a consistent incremental formulation of the non-linear governing equations avoiding the computationally expensive iterations that are otherwise necessary to handle the onset of plastic yield. In connection with episodic convection simulations, we point out the strong dependency of the results on the choice of the initial temperature distribution. Our results also indicate that the inclusion of elasticity in the constitutive relationships lowers the mechanical energy associated with subduction events.
Keyword mantle convection
constitutive formulation
elasticity
plastic yielding
episodicity
simulation
Date 2004-08-01
Subjects 240502 Fluid Physics
280499 Computation Theory and Mathematics not elsewhere classified
269999 Earth Sciences not elsewhere classified
260108 Geotectonics
280406 Mathematical Software
260299 Geophysics not elsewhere classified
260107 Structural Geology
Author Muhlhaus, Hans-Bernd
Davies, Matt
Moresi, Louis
References Byerlee, J. (1965), The brittle ductile transition in rocks, J. Geophys. Res., 73, 4741-4750. Conrad, C.P. and Hager, B.H. (1999). Effects of plate bending and fault strength at subduction zones on plate dynamics. J. Geophys. Res., 104 (B8), 17551-17571. Davies, M., Gross, L. and Muhlhaus, H.-B. (2004), Scripting high performance earth systems simulations on the SGI Altix 3700, Proc. 7th Int. Conf. HPC Grid Asia Pac. Reg., 244-251. Kolymbas, D. and Herle, I. (2003), Shear and objective stress rates in hypoplasticity, Int. J. Numer. Anal. Meth. Geomech., 27, 733-744. Moresi, L., Dufour, F. and Muhlhaus, H.-B. (2002), Mantle convection models with viscoelastic/brittle lithosphere: Numerical methodology and plate tectonic modeling, Pure Appl. Geophys., 159 (10), 2335. Moresi, L., and Solomatov, V.S. (1998), Mantle convection with a brittle lithosphere: thoughts on the global tectonic styles of the Earth and Venus, Geophys. J. Int., 133 (6), 669-682. Muhlhaus, H.-B. and Regenauer-Lieb, K. (2004), A Self Consistent Plate Mantle Model that Includes Elasticity: Computational Aspects and Application to Basic Modes of Convection, Geophys. J. Int., submitted May 2004. Parmentier, E.M., Turcotte, D.L. and Torrance, K.E. (1976), Studies of finite amplitude non-Newtonian thermal convection with application to convection in the Earth mantle, J. Geophys. Res., 81,1839-1846. Rudnicki, J.W. and Rice, J.R. (1975), Conditions for the localisation of deformation in pressure-sensitive dilatant materials, J. Mech. Phys. Sol., 23, 371-394. Schubert,G., Turcotte, D.L. and Olson, P., Mantle Convection in the Earth and Planets (Cambridge University Press, Cambridge 2001). Tackley, P. (1998), Self-consistent generation of tectonic plates in three-dimensional mantle convection, Earth and Planetary Science Letters, 157, 9-22. Solomatov, V.S. (1995), Scaling of temperature- and stress- dependent viscosity convection, Phys. Fluids, 7, 266-274. Zienkiewicz, O.C. and Taylor R.L., The Finite Element Method, Vol. 3, 5th Ed., (Butterworth/Heinemann 2000).
Additional Notes Article submitted to Pure and Applied Geophysics.

Document type: Preprint
Collection: Earth Systems Science Computational Centre Publications
 
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Created: Fri, 07 Oct 2005, 10:00:00 EST by Matt Davies