On statistical behaviour of stress drops in Portevin–Le Chatelier effect
Source abstract
Abstract
The Portevin–Le Chatelier (PLC) effect is a kind of plastic instability observed in many dilute alloys when deformed at certain ranges of strain rate and temperature. In this paper we present a comprehensive statistical analysis of the observed experimental data obtained during PLC effect and establish that the occurrence probability of the stress drops in the dynamical process responsible for PLC effect is Poisson in nature.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Microstructure and mechanical properties · Theoretical and Computational Physics · Force Microscopy Techniques and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (20)
Show source-provided references
1. Ananthakrishna G, Noronha S J, Fressengeas C and Kubin L P 1999 Phys. Rev. E60 5455
2. Balik J and Lukac P 1993 Acta Metal. Mater. 41 144710.1016/0956-7151(93)90253-O ↗
3. Barat P, Sarkar A, Mukherjee P and Bandyopadhyay S K 2005 Phys. Rev. Lett. 94 05550210.1103/PhysRevLett.94.055502 ↗
4. Bharathi M S, Lebyodkin M, Ananthakrishna G, Fressengeas C and Kubin L P 2001 Phys. Rev. Lett. 87 16550810.1103/PhysRevLett.87.165508 ↗
5. Bharathi M S, Lebyodkin M, Ananthakrishna G, Fressengeas C and Kubin L P 2002 Acta Mater. 50 281310.1016/S1359-6454(02)00099-X ↗
6. Chihab K, Estrin Y, Kubin L P and Vergnol J 1987 Scr. Metall. 21 20310.1016/0036-9748(87)90435-2 ↗
7. Clark C A 1963 Rev. Educ. Res. 33 455
8. Feller W 1971 An introduction to probability theory and its applications (New York: John Wiley) Vol. II
9. Fisher R A 1971 Statistical methods and scientific inferences (New York: Hafner) 3rd ed.
10. Grimmett G R and Stirzaker D R 1992 Probability and random processes (Oxford: Clarendon Press) 2nd ed.
11. Kubin L P and Estrin Y 1990 Acta Metall. Mater. 38 39710.1016/0956-7151(90)90144-6 ↗
12. Kubin L P, Fressengeas C and Ananthakrishna G 2002 Dislocations in solids (eds) F R N Nabarro and M S Duesbery (Amsterdam: Elsevier Science) 11 p. 10110.1016/S1572-4859(02)80008-0 ↗
13. Kugiumtzis D, Kehagias A, Aifantis E C and Neuhauser H 2004 Phys. Rev. E70 036110
14. Mazot P 1979 Acta Metall. 21 94310.1016/0001-6160(73)90151-X ↗
15. Nair Vijayan N and Freeny Anne E 1994 Statistical methods for physical science (eds.) Celotta Robert and Lucatorto Thomas (San Diego: Academic Press) 28 p. 192
16. Pink E and Kumar S 1995 Mater. Sci. Eng. A201 5810.1016/0921-5093(95)09772-4 ↗
17. Rao C R 1973 Linear statistical inference and its applications (New York: John Wiley)10.1002/9780470316436 ↗
18. Rizzi E and Hahner P 2004 Int. J. Plast. 20 12110.1016/S0749-6419(03)00035-4 ↗
19. Sellke T, Bayarri M J and Berger J O 2001 The American Statistician 55 6210.1198/000313001300339950 ↗
20. Van den Beukel A 1980 Acta Metall. 28 96510.1016/0001-6160(80)90114-5 ↗