Journal of Materials Science

, Volume 21, Issue 11, pp 3907–3911 | Cite as

Boundary length and internal surface area measurements in porous materials with elliptical pores

  • Charles H. Turner
Papers

Abstract

Formulae are derived for the stereological determination of boundary length per unit area,BA, and surface density,Sv, in materials with elliptically shaped pores. These relationships are valid for two-phase solids with orthotropically distributed internal surfaces (surfaces that can be mapped onto an ellipsoid). Maximum and minimum mean intercept length measurements in a plane are needed to calculateBA. Mean intercept length measurements in the three principal directions of porous symmetry are necessary to calculateSv. If the principal directions are not known they can be found by calculating the eigenvectors of a second rank tensor called the mean intercept length tensor. In a material with a transversely isotropic distribution of internal surfaces (surfaces that can be mapped onto a spheroid), mean intercept length measurements along and transverse to the axis of symmetry are needed to calculateSv.

Keywords

Polymer Unit Area Porous Material Surface Density Area Measurement 

Nomenclature

Sv

Surface density (internal surface area divided by test volume) (mm2mm−3)

S/V

Internal surface area divided by volume of voids (mm2mm−3)

BA

Profile boundary length divided by test area (mm mm−2)

B/A

Profile boundary length divided by area of voids (mm mm−2)

PL

Number of profile boundaries intersected by a test line divided by the length of the test line (mm−1)

MIL

Mean intercept length 1/PL (mm)

MPC

Mean chord length of the pores within a test area in a given direction (mm)

MSC

Mean chord length of the solid matrix within a test area in a given direction (mm)

LL

Lineal solid fraction (length solid passed through by a test line divided by the total length of the test line)

AA

Solid area fraction (fraction of solid area per test area)

Vv

Solid volume fraction (fraction of solid volume per test volume)

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References

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Copyright information

© Chapman and Hall Ltd. 1986

Authors and Affiliations

  • Charles H. Turner
    • 1
  1. 1.Department of Biomedical EngineeringTulane UniversityNew OrleansUSA

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