*MEAN FIELD HOMOGENIZATION

Optional parameters

ANGLE SUBDIVISIONS

This parameter is meaningful only when a second-order orientation tensor is used to specify the orientation of the inclusions in the aggregate.

Set this parameter equal to the number of angle increments used for the discretization of the orientation space.

FORMULATION

Set FORMULATION=MT (default) to use the Mori-Tanaka model as the homogenization method.

Set FORMULATION=VOIGT to use the Voigt model as the homogenization method.

Set FORMULATION=REUSS to use the Reuss model as the homogenization method.

Set FORMULATION=INVERSED MT to use the inversed Mori-Tanaka model as the homogenization method.

Set FORMULATION=BALANCED to use the interpolative double inclusion model as the homogenization method.

This parameter is ignored if the CONCENTRATION TENSOR option is used in the same material definition.

ISOTROPIZATION

Set ISOTROPIZATION=ALLISO (default) to use the isotropic projection of the stiffness to compute the entire concentration tensor.

Set ISOTROPIZATION=E-ISO to use the isotropic projection of the matrix stiffness to compute only the Eshelby tensor part of the concentration tensor.

Set ISOTROPIZATION=P-ISO to use the isotropic projection of the matrix stiffness to compute only the Hill's tensor part of the concentration tensor.

UNIFORM MATRIX STRAIN

This parameter is meaningful only for multi-phase composites with multiple inclusions or void constituents. See Multi-step homogenization.

Set UNIFORM MATRIX STRAIN=NO (default) to indicate that Voigt homogenization is performed between pseudo-grains in the second homogenization step.

Set UNIFORM MATRIX STRAIN=YES to indicate that a direct Mori-Tanaka homogenization is used for the composite. This approach assumes that the average strain in the matrix is uniform across all pseudo-grains.