Procedures for stereological estimation of structural anisotropy (Q1058333)

Actual procedures are given for detecting structural anisotropy by the stereological method, i.e. by observing only cross-sections in the material, on the basis of the theoretical formulation of the previous article [see the review above (Zbl 0564.73014).] First, computation by the Monte Carlo method is described explicitly in terms of observed data, determining the distribution density completely. Next, alternative procedures are given by the use of restricted cross-sections on the assumption that the anisotropy is ''weak,'' facilitating actual experiments a great deal. Observations are made only on planes parallel to the three coordinate planes or cylindrical surfaces around the three coordinate axes. ''Fabric tensors'' describing the anisotropy and the ''equivalent strain'' are given explicitly in terms of observed data.