Practical determination of the coordination number in granular media

Image Analysis and Stereology

Volumn 25, Issue 1, 2006, Pages 55-61

  Jouannot Chesney, Patricia ^a   Jernot, Jean Paul ^a   Lantuéjoul, Christian ^b  

^a UNIVERSITÉ DE CAEN   (France)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

Coordination number of particles; Euler Poincar characteristic; Granular media; Local measurements

Indexed keywords

EID: 77949487537     PISSN: 15803139     EISSN: 18545165     Source Type: Journal    
DOI: 10.5566/ias.v25.p55-61     Document Type: Article

References (16)

1. Artz E (1982). The influence of an increasing particle coordination on the densification of spherical powders. Acta Metall 30:1883-90.
2. Bideau D (1983). Relation entre les propriétés de transport de matériaux constitués d'empilements désordonnés isotropes et leurs caractéristiques géométriques. Thèse d'Etat. Université de Rennes I, p. 23.
3. Chilès JP, Delfiner P (1999). Geostatistics: Modeling spatial uncertainty. New-York: Wiley.
4. German RM (1989). Particle packing characteristics. Princeton: MPIF.
5. Guyon E, Troadec JP (1994). Du sac de billes au tas de sable. Paris: Odile Jacob.
6. Hadwiger H (1957). Vorlesungen über Inhalt, Oberfläche und Isoperimetrie. Berlin: Springer Verlag.
7. Jernot JP (1991). Pressureless sintering in solid phase: mechanisms, morphology and modelisation, Physics of granular media. New-York: Nova Science Publishers.
8. Jernot JP, Jouannot-Chesney P, Lantuéjoul C (2004). Local contributions to the Euler-Poincaré characteristic of a set. J Microsc 215:40-9.
9. Lantuéjoul C (1980). On the estimation of mean values in individual analysis of particles. Microscopica Acta 5:266-73.
10. Lantuéjoul C, Beucher S (1981). On the use of the geodesic metric in image analysis. J Microsc 121:39-49.
11. Miles RE (1974). On the elimination of edge effects in planar sampling, Stochastic geometry. In: Harding EF, Kendall DG, eds. New-York: Wiley.
12. Ohser J, Nagel W (1996). The estimation of the Euler-Poincaré characteristic from observations on parallel sections. J Microsc 184:117-26.
13. Serra J (1982). Image analysis and mathematical morphology. London: Academic Press.
14. Sterio DG (1984). The unbiased estimation of numbers and sizes of arbitrary particles using the disector. J Microsc 134:127-36.
15. Stoyan D, Kendall WS, Mecke J (1995). Stochastic geometry and its applications (2nd edition). Chichester: Wiley.
16. Tancret F, Desgardin G, Osterstock F (1997). Influence of porosity on the mechanical properties of cold isostatically pressed and sintered YBa2Cu3O7-x superconductors. Phil Mag A75:505-23.