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2 changes: 1 addition & 1 deletion doc/sphinx/parameters/Material_20model.md
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Expand Up @@ -200,7 +200,7 @@ Viscous stress may also be limited by a non-linear stress limiter that has a for

The value for the components of this formula and additional parameters are read from the parameter file in subsection ’Material model/Visco Plastic’.

‘viscoelastic’: An implementation of a simple linear viscoelastic rheology that only includes the deviatoric components of elasticity. Specifically, the viscoelastic rheology only takes into account the elastic shear strength (e.g., shear modulus), while the tensile and volumetric strength (e.g., Young’s and bulk modulus) are not considered. The model is incompressible and allows specifying an arbitrary number of compositional fields, where each field represents a different rock type or component of the viscoelastic stress tensor. The stress tensor in 2d and 3d, respectively, contains 3 or 6 components. The compositional fields representing these components must be named and listed in a very specific format, which is designed to minimize mislabeling stress tensor components as distinct ’compositional rock types’ (or vice versa). For 2d models, the first six compositional fields must be labeled ’stress\_xx’, ’stress\_yy’ and ’stress\_xy’, ’stress\_xx\_old’, ’stress\_yy\_old’ and ’stress\_xy\_old’, In 3d, the first twelve compositional fields must be labeled ’stress\_xx’, ’stress\_yy’, ’stress\_zz’, ’stress\_xy’, ’stress\_xz’, ’stress\_yz’, ’stress\_xx\_old’, ’stress\_yy\_old’, ’stress\_zz\_old’, ’stress\_xy\_old’, ’stress\_xz\_old’, ’stress\_yz\_old’.
‘viscoelastic’: An implementation of a simple linear viscoelastic rheology that only includes the deviatoric components of elasticity. Specifically, the viscoelastic rheology only takes into account the elastic shear strength (e.g., shear modulus), while the tensile and volumetric strength (e.g., Young’s and bulk modulus) are not considered. The model is incompressible and allows specifying an arbitrary number of compositional fields, where each field represents a different rock type or component of the viscoelastic stress tensor. The stress tensor in 2d and 3d, respectively, contains 3 or 6 components. The compositional fields representing these components must be named and listed in a very specific format, which is designed to minimize mislabeling stress tensor components as distinct ’compositional rock types’ (or vice versa). For 2d models, the first six compositional fields of type stress must be labeled ’ve\_stress\_xx’, ’ve\_stress\_yy’ and ’ve\_stress\_xy’, ’ve\_stress\_xx\_old’, ’ve\_stress\_yy\_old’ and ’ve\_stress\_xy\_old’, In 3d, the first twelve compositional fields of type stress must be labeled ’ve\_stress\_xx’, ’ve\_stress\_yy’, ’ve\_stress\_zz’, ’ve\_stress\_xy’, ’ve\_stress\_xz’, ’ve\_stress\_yz’, ’ve\_stress\_xx\_old’, ’ve\_stress\_yy\_old’, ’ve\_stress\_zz\_old’, ’ve\_stress\_xy\_old’, ’ve\_stress\_xz\_old’, ’ve\_stress\_yz\_old’.

Expanding the model to include non-linear viscous flow (e.g., diffusion/dislocation creep) and plasticity would produce a constitutive relationship commonly referred to as partial elastoviscoplastic (e.g., pEVP) in the geodynamics community. While extensively discussed and applied within the geodynamics literature, notable references include: Moresi et al. (2003), J. Comp. Phys., v. 184, p. 476-497. Gerya and Yuen (2007), Phys. Earth. Planet. Inter., v. 163, p. 83-105. Gerya (2010), Introduction to Numerical Geodynamic Modeling. Kaus (2010), Tectonophysics, v. 484, p. 36-47. Choi et al. (2013), J. Geophys. Res., v. 118, p. 2429-2444. Keller et al. (2013), Geophys. J. Int., v. 195, p. 1406-1442.

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