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rAKA/doc/dev-doc/manual/appendix/material-parameters.rst
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.. _app-material-parameters:
Material Parameters
===================
Linear elastic isotropic
------------------------
Keyword: :ref:`elastic <sect-smm-linear-elastic-isotropic>`
Parameters:
- ``rho``: (*Real*) Density
- ``E``: (*Real*) Young's modulus
- ``nu``: (*Real*) Poisson's ratio
- ``Plane_stress``: (*bool*) Plane stress simplification (only 2D problems)
Energies:
- ``potential``: elastic potential energy
Linear elastic anisotropic
--------------------------
Keyword: :ref:`elastic_anisotropic <sect-smm-linear-elastic-anisotropic>`
Parameters:
- ``rho``: (*Real*) Density
- ``n1``: (*Vector<Real>*) Direction of main material axis
- ``n2``: (*Vector<Real>*) Direction of second material axis
- ``n3``: (*Vector<Real>*) Direction of third material axis
- ``C..``: (*Real*) Coefficient ij of material tensor C (all the 36 values in
Voigt notation can be entered)
- ``alpha``: (*Real*) Viscous propertion (default is 0)
Linear elastic orthotropic
--------------------------
Keyword: :ref:`elastic_orthotropic <sect-smm-linear-elastic-orthotropic>`
Parameters:
- ``rho``: (*Real*) Density
- ``n1``: (*Vector<Real>*) Direction of main material axis
- ``n2``: (*Vector<Real>*) Direction of second material axis (if applicable)
- ``n3``: (*Vector<Real>*) Direction of third material axis (if applicable)
- ``E1``: (*Real*) Young's modulus (n1)
- ``E2``: (*Real*) Young's modulus (n2)
- ``E3``: (*Real*) Young's modulus (n3)
- ``nu1``: (*Real*) Poisson's ratio (n1)
- ``nu2``: (*Real*) Poisson's ratio (n2)
- ``nu3``: (*Real*) Poisson's ratio (n3)
- ``G12``: (*Real*) Shear modulus (12)
- ``G13``: (*Real*) Shear modulus (13)
- ``G23``: (*Real*) Shear modulus (23)
Neohookean (finite strains)
---------------------------
Keyword: :ref:`neohookean <sect-smm-cl-neohookean>`
Parameters:
- ``rho``: (*Real*) Density
- ``E``: (*Real*) Young's modulus
- ``nu``: (*Real*) Poisson's ratio
- ``Plane_stress``: (*bool*) Plane stress simplification (only 2D problems)
Standard linear solid
---------------------
Keyword: :ref:`sls_deviatoric <sect-smm-cl-sls>`
Parameters:
- ``rho``: (*Real*) Density
- ``E``: (*Real*) Young's modulus
- ``nu``: (*Real*) Poisson's ratio
- ``Plane_stress``: (*bool*) Plane stress simplification (only 2D problems)
- ``Eta``: (*Real*) Viscosity
- ``Ev``: (*Real*) Stiffness of viscous element
Energies:
- ``dissipated``: energy dissipated with viscosity
Elasto-plastic linear isotropic hardening
-----------------------------------------
Keyword: :ref:`plastic_linear_isotropic_hardening <sect-smm-cl-plastic>`
Parameters:
- ``rho``: (*Real*) Density
- ``E``: (*Real*) Young's modulus
- ``nu``: (*Real*) Poisson's ratio
- ``h``: (*Real*) Hardening modulus
- ``sigma_y``: (*Real*) Yield stress
Energies:
- ``potential``: elastic part of the potential energy
- ``plastic``: dissipated plastic energy (integrated over time)
Marigo
------
Keyword: :ref:`marigo <sect-smm-cl-damage-marigo>`
Parameters:
- ``rho``: (*Real*) Density
- ``E``: (*Real*) Young's modulus
- ``nu``: (*Real*) Poisson's ratio
- ``Plane_stress``: (*bool*) Plane stress simplification (only 2D problems)
- ``Yd``: (*Random*) Hardening modulus
- ``Sd``: (*Real*) Damage energy
Energies:
- ``dissipated``: energy dissipated in damage
Mazars
------
Keyword: :ref:`mazars <sect-smm-cl-damage-mazars>`
Parameters:
- ``rho``: (*Real*) Density
- ``E``: (*Real*) Young's modulus
- ``nu``: (*Real*) Poisson's ratio
- ``At``: (*Real*) Traction post-peak asymptotic value
- ``Bt``: (*Real*) Traction decay shape
- ``Ac``: (*Real*) Compression post-peak asymptotic value
- ``Bc``: (*Real*) Compression decay shape
- ``K0``: (*Real*) Damage threshold
- ``beta``: (*Real*) Shear parameter
Energies:
- ``dissipated``: energy dissipated in damage
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