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