MS_effective_medium

[Ceff,rh]=MS_effective_medium(theory, ...)
// Part of MSAT - The Matlab Seismic Anisotropy Toolkit //
Generate elastic constants for the effective medium parameters based on
various theories, identified by the string 'theory'. Subsequent required
arguments depend on the theory invoked.
Currently available theories:
  • Tandon and Weng, 84 (tandon or t&w) (Isotropic host matrix with unidirectionally aligned isotropic spheroid inclusions)

    [Ceff,rh]=MS_effective_medium('t&w',vpm,vsm,rhm,vpi,vsi,rhi,del,f) or
       Input parameters:
          vpm,vsm,rhm : isotropic parameters of the matrix (km/s, kg/m3)
                  del : aspect ratio of spheroids:
                           del < 1 = smarties
                           del = 1 = spheres
                           del > 1 = cigars
                   f : volume fractions of inclusions
       vpi, vsi, rhi : isotropic parameters of the inclusions
    [Ceff,rh]=MS_effective_medium('t&w',Cm,rhm,Ci,rhi,del,f) or
       Input parameters:
            Cm,rh : elasticity and density of the matrix (GPa, kg/m3)
                  del : aspect ratio of spheroids:
                           del < 1 = smarties
                           del = 1 = spheres
                           del > 1 = cigars
                   f : volume fractions of inclusions
        Ci, rhi : isotropic parameters of the inclusions
    Output parameters:
       Ceff : Elastic constants (GPa) (symmetry in X1 direction)
       rh : aggregate density (kg/m3)
     References:
    - Tandon, GP and Weng, GJ. The Effect of Aspect Ratio of Inclusions on the
      Elastic Properties of Unidirectionally Aligned Composites. Polymer
      Composites, 5, pp 327-333, 1984.
    See also: MS_elasticDB