Structural-scaling transitions and universality of fluctuation statistics under plastic deformation of metals
DOI:
https://doi.org/10.7242/1999-6691/2009.2.3.24Keywords:
structural-scaling transitions, fluctuation statistics, plastic flow universalityAbstract
The universality of statistics of plastic flow stress fluctuations in crystalline materials exhibiting self-organized criticality is studied within the conception of structural-scaling transitions in mesoscopic systems with defects. The relation between the universality of the probability density function (PDF) of stress fluctuations and the universality classes of collective modes of mesodefects is determined by finding the autosoliton (trigger)-type self-similar solutions on the spectrum of spatial structural scales of the material. It is established that the natural universality can be the dynamics of collective modes of mesodefects with pronounced long-range correlation interactions. Experimental studies of the plastic flow instability of deformed aluminum alloy, steel and Armco-iron supported the universality of the probability density function of stress fluctuations of the flow, which is similar to that of liquids within the inertial range of turbulence.
Downloads
References
Bramwell S., Holdsworth P., Pinton J.-F. Universality of rare fluctuations in turbulence and critical phenomena // Nature. - 1998. - V. 396. - P. 552-554. DOI
Pinton J.-F., W. Holdsworth P.C., Labbe R. Power fluctuations in a closed shear flow // Phys. Rev. E. - 1999. - V. 60, N. 3. - P. 2452-2455. DOI
Ananthakrishna G., Naronha S.J., Fressengeas C., and Kubin L.P. Crossover from chaotic to self-organized critical dynamics in jerky flow of single crystals // Phys. Rev. E. - 1999. - V. 60, N. 3 - P. 5455-5462. DOI
Bak P., Tang C., Wissenfeld K. Self-organized criticality: An explanation of the 1/f noise // Phys. Rev. Lett. - 1987. - V. 59. - P. 381-384. DOI
Zaiser M. Scale invariance in plastic flow of crystalline solids // Advances in Physics. - 2006. - V. 55, N. 1-2. - P. 185-245. DOI
Bramwell S.T., Christensen K., Fortin J.-F. Universal fluctuations in correlated systems // Phys. Rev. Lett. - 2000. - V. 84. - P. 3774-3777. DOI
Mordant N., Pinton J.-F., Chilla F. Characterization of Turbulence in a Closed Flow // J. Phys. II. - 1997. - V. 7. - P. 1729-1742. DOI
Aji V., Goldenfeld. N. Fluctuations in finite critical and turbulent systems // Phys. Rev. Lett. - 2001. - V. 86. - P.1007-1010. DOI
Peyrard M. The statistical distributions of one-dimensional <> // Physica D. - 2004. - V. 193, I. 1-4. - P. 265-277. DOI
Frenkel’ A.I. Kineticeskaa teoria zidkostej. - L.: Nauka, 1975. - 592s.
Naimark O.B. Defect Induced Transitions as Mechanisms of Plasticity and Failure in Multifield Continua // In: Advances in Multifield Theories of Continua with Substructure / Ed. G. Capriz, P. Mariano. - Boston: Birkhauser, 2004. - P. 75-114.
Najmark O.B. Neustojcivosti v kondensirovannyh sredah, obuslovlennye defektami // PZETF. - 1998. - T. 67, No 9. - C. 714-722.
Kurdyumov S.P. Evolution and self-organization laws of complex systems // IJMPA. - 1988. - V. 1, N. 4. - P. 299-327.
Najmark O.B. Neravnovesnye strukturnye perehody kak mehanizm turbulentnosti // PZTF. - 1997. - T. 23, No 13. - C. 81-88.
Najmark O.B. Kollektivnye svojstva ansamblej defektov i nekotorye nelinejnye problemy plasticnosti i razrusenia // Fizic. mezomeh. - 2003. - T. 6, No 4. - S. 45-72.
Downloads
Published
Issue
Section
License
Copyright (c) 2009 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.