Anisotropic effective-medium modelling
This set of functions is used for anisotropic effective-medium modelling. Each function in this package has a description, explanations of inputs and outputs, and a list of relevant references.
File “Example.m” is the main driver Matlab script, which demonstrates the use of the functions.
Name: Anisotropic effective-medium modelling
Author(s): Alexey Yurikov and Prof. Maxim Lebedev, Curtin University
Version: 0.1
Date: 21/05/2018
Script package – functions
- addInclusionsVTI
Returns components of stiffness tensor of a matrix of a VTI media with added impact of aligned elliptical inclusions. - check_constraints
Returns 1 if input stiffness moduli satisfy all physical constraintes, returns 0 if at least one of the constraints is violated. - convertCS_MatrixVectorVTI
Returns compliance/stiffness matrix of VTI media in a Voigt form assembled from vector of components organised as M = [m11 m33 m44 m66 m13] or does the reverse procedure if input is 6×6 matrix; M = S or C depending on parameter moduli_type. - convertSC_VTI
Returns independent compliance moduli of VTI media if input is stiffness, or independent stiffness moduli if input is compliance. - DEM
Returns stiffness tensor of a composite media consisting background with elliptical inclusions in Voigt matrix form. - ODF_INV_A
Is used to fit the experimental normalised ODF with Owens’s function, determined by parameter a. - ODF_NORM
Returnes normalised ODF in the format suitable for polycristal calculation script. - ODF_OWENS
Determines Owens’s orientation distribution function. - removeInclusionsVTI
Returns components of stiffness tensor of a matrix of a VTI media with removed impact of aligned elliptical inclusions. - rotateModuli
Returns elastic moduli of reoriented VTI media depending on parameter “mode” using orientation parameters W200 and W400. - rotateModuliVTI_Owens
Returns elastic moduli of reoriented VTI media depending on parameter “mode” using orientation parameter a (Owens’s function). - SCA
Returns stiffness tensor (in Voigt matrix form) of a composite media consisting of elliptical inclusions. - W_CALCULATE
Returnes coefficients W200 and W400 for ODF described by Owens’s function (parameter a).
Please acknowledge the source of this software if you use it in any publications:
Yurikov, A., and M. Lebedev. Anisotropic Effective-Medium Modelling (Version: 0.1). Matlab, Windows, Linux. Perth, Western Australia: Curtin University, 2018.
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