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).

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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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