MS_effective_medium
MS_effective_medium - generate elastic constants from various effective medium theories.
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:
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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