Geodesic
Stereology of grain boundary precipitates
Applications of Mathematics, Tome 34 (1989) no. 4, pp. 303-317 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Precipitates modelled by rotary symmetrical lens-shaped discs are situated on matrix grain boundaries and the homogeneous specimen is intersected by a plate section. The stereological model presented enables one to express all basic parameters of spatial structure and moments of the corresponding probability distributions of quantitative characteristics of precipitates in terms of planar structure parameters the values of which can be estimated from measurements carried out in the plane section. The derived relationships are transformed into those valid for spherical precipitates.
Precipitates modelled by rotary symmetrical lens-shaped discs are situated on matrix grain boundaries and the homogeneous specimen is intersected by a plate section. The stereological model presented enables one to express all basic parameters of spatial structure and moments of the corresponding probability distributions of quantitative characteristics of precipitates in terms of planar structure parameters the values of which can be estimated from measurements carried out in the plane section. The derived relationships are transformed into those valid for spherical precipitates.
DOI : 10.21136/AM.1989.104358
Classification : 52A22, 60D05, 92F05
Keywords: random tesselation; stereology; lens-shaped discs; stereological model; parameter estimations 
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Horálek, Vratislav. Stereology of grain boundary precipitates. Applications of Mathematics, Tome 34 (1989) no. 4, pp. 303-317. doi: 10.21136/AM.1989.104358

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