Factors that control the angle of shear bands in geodynamic numerical models of brittle deformation

Tectonophysics

Volumn 484, Issue 1-4, 2010, Pages 36-47

  Kaus, Boris J P ^a,b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Lithospheric deformation; Long term tectonics; Numerical modelling; Plastic deformation; Rheology; Viscoelastoplasticity; Viscoplasticity

Indexed keywords

ANGLE OF INTERNAL FRICTION; BRITTLE DEFORMATION; DRUCKER-PRAGER; ELEMENT TYPE; GEODYNAMIC MODELS; GEOLOGICAL TIMESCALES; LENGTH SCALE; LITHOSPHERIC DEFORMATION; MOHR-COULOMB; NUMERICAL MESHES; NUMERICAL MODELLING; NUMERICAL MODELS; NUMERICAL RESOLUTION; NUMERICAL SIMULATION; PLASTIC FAILURE; PLASTICITY MODEL; RANDOM NOISE; SHEAR LOCALIZATIONS; VISCOELASTOPLASTICITY; VISCOPLASTIC;

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; ELASTICITY; GEOPHYSICS; NUMERICAL METHODS; PLASTIC DEFORMATION; PLASTICITY; PLASTICS; RHEOLOGY; SHEAR BANDS; STRAIN RATE; TECTONICS; VISCOPLASTICITY; VISCOSITY;

MATHEMATICAL MODELS;

BRITTLE DEFORMATION; GEODYNAMICS; LITHOSPHERE; NUMERICAL MODEL; PLASTIC DEFORMATION; RHEOLOGY; SHEAR BAND; VISCOELASTICITY; VISCOPLASTICITY;

EID: 77649187525     PISSN: 00401951     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tecto.2009.08.042     Document Type: Article

References (39)

1. Arthur J.R.F., Dunstan T., Al-Ani Q.A.J., and Assadi A. Plastic deformation and failure of granular media. Géotechnique 27 (1977) 53-74
2. Braun J., Thieulot C., Fullsack P., DeKool M., Beaumont C., and Huismans R. DOUAR: A new three-dimensional creeping flow numerical model for the solution of geological problems. Physics of the Earth and Planetary Interiors 171 1-4 (2008) 76-91
3. Buck W.R., Lavier L., and Poliakov A. Modes of faulting at mid-ocean ridges. Nature 434 719-723 (2005)
4. Buiter S.J.H., et al. The numerical sandbox: Comparison of model results for a shortening and an extension experiment. In: Buiter S.J.H., and Schreurs G. (Eds). Analogue and Numerical Modelling of Crustal-Scale Processes. Geological Society of London Special Publications (2006), Geological Society of London 29-64
5. Byerlee J.D. Friction of rocks. Pure and Applied Geophysics 116 (1978) 615-626
6. Coulomb C.A. Sur l'application des règles des maximis et minimis à quèlques problèmes de statique relatifs à l'architecture. Mémoires de Mathématique et de Physique. Académie Royale des Sciences 7 (1773) 343-382
7. Cuvelier C., Segal A., and van Steemhoven A.A. Finite element methods and Navier-Stokes equations. Mathematics and its Applications (1986), Reidel Publishing company, Dordrecht 483 pp.
8. Dabrowski M., Krotkiewski M., and Schmid D.W. MILAMIN: MATLAB-based FEM solver for large problems. Geochemistry Geophysics Geosystems (2008) 10.1029/2007GC001719
9. De Borst R. Numerical modelling of bifurcation and localisation in cohesive-frictional materials. Pure and Applied Geophysics 137 4 (1991) 367-390
10. de Souza Neto E.A., Periae D., and Owen D.R.J. Computational methods for plasticity: theory and applications (2009), Wiley 814 pp.
11. Deborst R., and Sluys L.J. Localization in a Cosserat continuum under static and dynamic loading conditions. Computer Methods in Applied Mechanics and Engineering 90 1-3 (1991) 805-827
12. Fullsack P. An arbitrary Lagrangian-Eulerian formulation for creeping flows and its application in tectonic models. Geophysical Journal International 120 1 (1995) 1-23
13. Gerbault M., Burov E.B., Poliakov A.N.B., and Daignieres M. Do faults trigger folding in the lithosphere?. Geophysical Research Letters 26 2 (1999) 271-274
14. Gerya T.V., and Yuen D. Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems. Physics of the Earth and Planetary Interiors 163 1-4 (2007) 83-105
15. Hansen D.L. A meshless formulation for geodynamic modeling. Journal of Geophysical Research 108 B11 (2003) 2549
16. Hobbs B.E., and Ord A. Numerical simulation of shear band formation in a frictional-dilational material. Ingegnere e l'architetto 59 (1989) 209-220
17. Hughes T.J.R. The finite element method (1987), Dover Publications, New York
18. Kaus, B.J.P., 2005. Modelling approaches to geodynamic processes. PhD-Thesis Thesis, Swiss Federal Institute of Technology, Zurich, 263 pp.
19. Kaus B.J.P., and Podladchikov Y.Y. Initiation of localized shear zones in viscoelastoplastic rocks. Journal of Geophysical Research 111 B04412 (2006) 10.1029/2005JB003652
20. Lemiale V., Muehlhaus H.B., Stafford J., and Moresi L. Shear banding analysis of plastic models for incompressible viscous flows. Physics of the Earth and Planetary Interiors 171 1-4 (2008) 177-186
21. Lyakhovsky V., Podladchikov Y., and Poliakov A. A rheological model of a fractured solid. Tectonophysics 226 1-4 (1993) 187-198
22. Mancktelow N.S. How ductile are ductile shear zones?. Geology 34 5 (2006) 345-348 10.1130/G22260.1
23. Moresi L., et al. Computational approaches to studying non-linear dynamics of the crust and mantle. Physics of the Earth and Planetary Interiors 163 (2007) 69-82
24. Muhlhaus H.B., and Vardoulakis I. The thickness of shear bands in granular-materials. Geotechnique 37 3 (1987) 271-283
25. Needleman A. Material Rate Dependence and Mesh Sensitivity in Localization Problems. Computer Methods in Applied Mechanics and Engineering 67 1 (1988) 69-85
26. Poliakov A., Podladchikov Y., and Talbot C. Initiation of salt diapirs with frictional overburdens: numerical experiments. Tectonophysics 228 (1993) 199-210
27. Poliakov A.N.B., Herrmann H.J., and Podladchikov Y.Y. Fractal plastic shear bands. Fractals 2 (1994) 567-581
28. Poliakov A., Podladchikov Y., Dawson J.B., and Talbot C. Salt diapirism with simultaneous brittle faulting and viscous flow. Geological Society Special Publication 100 (1996) 291-302
29. Popov A.A., and Sobolev S.V. SLIM3D: A tool for three-dimensional thermo mechanical modeling of lithospheric deformation with elasto-visco-plastic rheology. Physics of the Earth and Planetary Interiors 171 1-4 (2008) 55-75
30. Ranalli G. Rheology of the earth (1995), Chapman and Hall, London 413 pp
31. Roscoe K.H. The influence of strains in soil mechanics, 10th Rankine Lecture. Geotechnique 20 (1970) 129-170
32. Rudnicki J.W., and Rice J.R. Conditions for localization of deformation in pressure-sensitive dilatant materials. Journal of the Mechanics and Physics of Solids 23 6 (1975) 371-394
33. Scholz C.H. The Mechanics of Earthquakes and Faulting (1990), Cambridge University Press 439 pp.
34. Vardoulakis I. Shear band inclination and shear modulus of sand in biaxial tests. International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980) 103-119
35. Vermeer P.A. The orientation of shear bands in bi-axial tests. Geotechnique 40 2 (1990) 223-236
36. Vermeer P., and de Borst R. Non-associated plasticity for soils. Concrete and Rock 29 (1984) 1-65
37. Wang W.M., Sluys L.J., and DeBorst R. Interaction between material length scale and imperfection size for localisation phenomena in viscoplastic media. European Journal of Mechanics a-Solids 15 3 (1996) 447-464
38. Wang W.M., Sluys L.J., and de Borst R. Viscoplastic modelling of localisation problems. Finite Elements in Engineering and Science (1997) 463-472
39. Wolf H., Konig D., and Triantafyllidis T. Experimental investigation of shear band patterns in granular material. Journal of Structural Geology 25 8 (2003) 1229-1240