Abstract
The concept of dislocation was introduced by Polanyi, Orovan and Taylor in 1934 to explain the almost three orders of magnitude difference between the measured and theoretically estimated flow stress of crystalline materials. During the next 20–30 years, thanks to the contribution of a vast number of scientists, the theory of dislocations was successfully applied to explain several properties of the plastic deformation observed experimentally. Amongother things the basic phenomena leading to work and precipitation hardening were understood [1, 2, 3].
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Bibliography
I. Kovács and L. Zsoldos, Dislocations and Plastic Deformation, Pergamon Press, London (1973).
Basinski S.J. and Basinski Z.S., Dislocations in Solids, ed. by F.R.N. Nabarro, North-Holland, Amsterdam, 1979
Hirsh JP, Lothe J. Theory of dislocations, John Wiley and Sons, 1982
Mughrabi H., Ungár T., Kienle W., M. Wilkens, Phil. Mag. 53, 793 (1986)
Mughrabi H., Ackerman F., Herz K., in J. Fang (editor), Fatigue Mechanisms, Proc. of ASTM-NBS-NSF Symposium, ASTM-STP 675, 1979, p. 69.
Kuhlmann-Wilsdorf D., van der Merwe J., Mat. Sci. Eng. 35, 79 (1982)
Bassim M., Jesser W., Kuhlmann-Wilsdorf D., Wilsdorf H., Mat. Sci. Eng. 81, 122 (1986)
Kuhlmann-Wilsdorf D., Mat. Sci. Eng. A 113, 1 (1989)
Holt D., Journal Appl. Phys. 41, 3179 (1970)
Walgraef D., Aifantis E., J. Appl. Phys. 15, 688 (1985)
Aifantis E., Mat. Sci. Eng. 81, 563 (1986)
Walgraef D., Solid State Phenomena, 3–4, 77 (1988)
Kratochvil J., Scripta Metall. Mater. 24, 891 (1990)
Kratochvil J., Scrip ta Metall. Mater. 24, 1225 (1990)
Kratochvil J., and Saxlova M., Scripta Met. Mater. 26, 113 (1993)
Hähner P., Bay K, Zaiser M., Phys. Rev. Lett. 81, 2470 (1998)
Zaiser M., Bay K, Hahner P., Acta mater. 47, 2463 1999)
Székely F., Groma I., Lendvai J., Mat. Sci. Eng. A 309, 352 (2001)
Székely F., Groma I., Lendvai J., Scripta Mater 45, 55 (2001)
Fleck N.A., Mller G.M., Ashby M.F. and Hutchinson J.W., Acta Mater. 42, 475 (1994)
McElhaney K.W., Vlassah J J. and Nix W.D., J. Math. Res. 13, 1300 (1998)
Aifantis E.C., J. Eng. Mater. Technol. 106, 326 (1984)
Aifantis E.C., Int. J. Plast. 2, 211 (1987)
Aifantis E.C., J. Mech. Behav. Mater. 5, 335 (1994)
Fleck N.A. and Hutchinson J.W., J. Mech. Phys. Solids, 49, 2245 (2001)
Gurtin M.E., J. Mech. Phys. Solids, 50, 5 (2002)
Svendsen B., J. Mech. Phys. Solids, 50, 1297 (2002)
Nicola L., van der Giessen E. and Needleman A., Journal of Applied Physics 93, 5920 (2003)
Kröner E., Z. Phys. 151, 504 (1958)
E. Kröner, Continuum Theory of Defects, Physics of Defects, Eds. R. Balian et.all, North Holland, Amsterdam (1981).
L.D. Landau, E.M. Lifsitz, Theory of Elasticity, Course of Theoretical Physics, vol 7, Pergamon Press, Oxford (1986)
Kosevich A.M. in Dislocations in Solids, ed. by.R.N. Nabarro, North-Holland, Amsterdam, 1979
Nye J.F. Acta. Mat. 1, 153 (1953)
Burgers J.M. Proc. Kon. Nederl. Akad. Wetensch. 42, 293 and 378 (1939)
Devincre B., and Condat M., Acta Metall. Mater. 40, 2629 (1992)
Fivel M., Gosling T.,and Canova, Modell. Simul. Mater. Sci. Eng. 4, 581 (1996)
Huang J.M., and Ghoniem N.M., Model. Simul. Mater. Sci. 11, 21 (2003)
Singh B.N., Ghoniem N.M., and Trinkaus H. J. Nucl. Mater. 307, 159 (2002)
Huang H.M., and Ghoniem N.M. Comp. Mater. Sci. 23, 225 (2002)
Walgraef D., and Ghoniem N.M. Phys. Rev. B 65, art. no. 155304 (2002)
Madec R., Devincre B., and Kubin L.P., Phys. Rev. Lett. 89, 255508 (2002)
Madec R., Devincre B., and Kubin L.P. Scripta Mater 47, 689 (2002)
Lemarchand C., Chaboche J.L., and Devincre B,. J. Phys IV 9, 271 (1999)
Bulatov V., Abraham F.F., Kubin L., Devincre B., and Yip S., Nature 391, 669 (1998)
Cai W., Bulatov V.V., Chang J., Li J. and Yip S., Phil. Mag. A, 81, 1257 (2001).
Lepinoux J., and Kubin L., Scripta Met. Mat. 21, 833 (1987)
Gulluoglu A., and Hartly C, Modell. Simul. Mater. Sci. Eng. 1, 383 (1993)
Gullouglu A., Srolovity D., LeSar R., and Lomdahl P., Scripta Met. 23, 1347 (1989)
Ghoniem N., and Amodeo R., Phys. Rev. B 41, 6968 (1989)
Groma I. and Pawley G.S., Philos. Mag. A 67 1459 (1993)
Groma I. and Pawley G.S., Mat. Sci. Eng. A 164, 306 (1993)
Van der Giessen E., and Needleman A., Model. Simul. Mater. Sci. Eng. 3, 689 (1995)
Cleveringa H. H. M., V. der Giessen E., and Needleman A., Acta mater. 45, 3163 (1997)
Cleveringa, H.H.M., Van der Giessen, E., and Needleman, Acta Mater. 45, 3163 (1997)
Cleveringa, H.H.M., Van der Giessen, E. and Needleman, A., International Journal of Plasticity 15, 837 (1999)
Cleveringa, H.H.M., Van der Giessen, E. and Needleman, A., Phil. Mag. A9, 863 (1999)
A. Benzerga, Y. Brechet, A. Needleman and E. Van der Giessen Model. Simul. Mat. Sci. Eng. 12, 159 (2004)
Groma L, Phys. Rev. B 56, 5807 (1997)
Groma I. and Balogh P., Acta Mater. 47, 3647 (1999)
Buchinger L. and Stanzl S., Phil. Mag. A50, 275 (1984)
Zaiser M., Miguel M.C., Groma L, Phys Rev B 64, 224102 (2001)
Groma I., Csikor FF., Zaiser M., Acta Mater. 51, 1271 (2003)
Cleveringa, H.H.M., Van der Giessen, E. and Needleman, A., J. Physique IV, 83, 92 (1998)
Yefimov S., Groma I. and van der Giessen E. J. de Physique IV 11, 103 (2001)
S. Yefimov, I. Groma and E. van der Giessen J. Mech. and Phys. Solids 52, 279 (2004)
Yefimov S. and van der Giessen E European Journal of Mechanics A/Solids 24, 183 (2005)
Yefimov S. and van der Giessen E. Int. J. of Solids Struct. 42, 3375 (2005)
El-Azab A., Phys. Rev. B, 61, 11956, (2000)
Hochrainer T. and Zaiser M., private communication
Kratochvíl J. and Sedláčcek R., Phys. Rev. B, 67, 094105 (2003)
Groma I. and Bak B., Phys. Rev. B 58, 2969 (1998)
Chandrasekhar S., Rev. Modern Phys. 15, 8 (1943)
Csikor F.F. Groma I. Phys. Rev. B 70, 064106 (2004)
Groma I., Phys. Rev. B 57, 7535 (1998)
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Groma, I. (2010). Statistical physical approach to describe the collective properties of dislocations. In: Pippan, R., Gumbsch, P. (eds) Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics. CISM International Centre for Mechanical Sciences, vol 522. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0283-1_5
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