On some applications and properties of the random transects

Modelling and Simulation in Materials Science and Engineering

Volumn 7, Issue 4, 1999, Pages 525-539

  Todinov, M T ^a,b  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^b TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

AGGLOMERATION; GRAIN GROWTH; GRAIN SIZE AND SHAPE; MATHEMATICAL MODELS; MICROSTRUCTURE; MONTE CARLO METHODS; PROBABILITY; VOLUME FRACTION;

DUPLEX MATERIALS; RANDOM TRANSECTS;

MATERIALS SCIENCE;

EID: 0032685620     PISSN: 09650393     EISSN: None     Source Type: Journal    
DOI: 10.1088/0965-0393/7/4/304     Document Type: Article

References (24)

1. Delesse A 1848 Procédé méchanique pour déterminer la composition des roches Ann. Mines 13 379-88
2. Rosiwal A 1898 Ueber geometrische Gesteinsanalysen usw Verh. der k.k. Geolog. Reichsanstalt Wien 143-75
3. Chayes F 1956 Petrographic Modal Analysis (New York: Wiley)
4. Glagolev A 1934 Quantitative analysis with the microscope by the point method Eng. Min. J. 135 399
5. Hilliard J E 1968 Measurement of volume in volume Quantitative Microscopy ed R T DeHoff and F N Rhines (New York: McGraw-Hill) pp 45-76
6. Gundersen H J G and Jensen E B 1987 The efficiency of systematic sampling in stereology and its prediction J. Microscopy 147 229-63
7. Saltykov S A 1958 Stereometric Metallography 2nd edn (Moscow: Metallurgizdat)
8. Hilliard J E and Cahn J W 1961 An evaluation of procedures in quantitative metallography for volume-fraction analysis Trans. Metall. Soc. AIME 221 344-52
9. Fullman R L 1953 Measurement of particle sizes in opaque bodies Trans. AIME J. Met. 447-52
10. Gokhale A M and Drury W J 1994 Efficient measurement of microstructural surface area using trisector Metall. Mater. Trans. A 25 919-28
11. Weibel E R 1980 Stereological Methods: Theoretical Foundations vol 2 (London: Academic)
12. Underwood E E 1969 Quantitative Stereology (Reading, MA: Addison-Wesley)
13. Kendall M G and Moran PAP 1963 Geometrical Probability (London: Charles Griffin)
14. Knott J F 1997 Recent advances in the micro-modelling of cleavage fracture in steel G R Irwin Symp. on Cleavage Fracture ed K S Chan (Warrendale, PA: Minerals, Metals and Materials Society) pp 171-82
15. DeGroot M 1989 Probability and Statistics (Reading, MA: Addison-Wesley)
16. Sobol I M 1994 A Primer for the Monte Carlo Method (Boca Raton, FL: CRC Press)
17. Rubinstein R Y 1986 Simulation and the Monte Carlo Method (New York: Wiley)
18. Park S K and Miller K W 1988 Random number generators: good ones are hard to find Commun. ACM 31
19. American Society for Metals 1985 Metallography and microstructures Metals Handbook vol 9
20. Kay D C 1995 Graphics File Formats 2nd edn (New York: McGraw-Hill)
21. Rimmer S 1993 Bit-Mapped Graphics 2nd edn (New York: McGraw-Hill)
22. Hearn D and Baker M P 1997 Computer Graphics: C Version (Englewood Cliffs, NJ: Prentice Hall)
23. Foley J D, van Dam A, Feiner S K and Hughes J F 1996 Computer Graphics: Principles and Practice (Reading, MA: Addison-Wesley)
24. Todinov M T 1996 A new approach to the kinetics of a phase transformation with constant radial growth rate Acta Mater. 44 4697-703