Procedures for stereological estimation of structural anisotropy
type: Item
instance of: scholarly article
title: Procedures for stereological estimation of structural anisotropy
zbMATH Open document ID: 0564.73015
DOI: 10.1016/0020-7225(85)90067-9
published in: International Journal of Engineering Science
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 74K99
zbMATH DE Number: 3900242
zbMATH Keywords: Buffon transform
zbMATH Keywords: structural anisotropy
zbMATH Keywords: stereological method
zbMATH Keywords: Monte Carlo method
zbMATH Keywords: distribution density
zbMATH Keywords: restricted cross-sections
zbMATH Keywords: anisotropy is ''weak,''
zbMATH Keywords: Fabric tensors
zbMATH Keywords: equivalent strain
author: Ken-Ichi Kanatani
MaRDI profile type: Publication
full work available at URL: 0020-7225(85)90067-9
OpenAlex ID: W2000474224
cites work: Stereological determination of structural anisotropy
cites work: Distribution of directional data and fabric tensors
cites work: Tracing planar surface motion from a projection without knowing the correspondence
cites work: Q5845761
description: scientific article; zbMATH DE number 3900242