SELF-SIMILAR MODE OF METALS FRAGMENTATION UNDER SEVERE PLASTIC DEFORMATION

被引:0
|
作者
Khomenko, A., V [1 ]
机构
[1] Sumy State Univ, 2 Rimskii Korsakov Str, UA-40007 Sumy, Ukraine
来源
UKRAINIAN JOURNAL OF PHYSICS | 2019年 / 64卷 / 06期
关键词
grain boundary; dislocation; phase transition; phase diagram; internal energy; additive noise; self-similarity; THIN LUBRICANT FILM; PHASE DYNAMICS; TRANSITION; ALLOY;
D O I
10.15407/ujpe64.6.487
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the framework of nonequilibrium evolution thermodynamics, the influence of additive fluctuations on the kinetics of structural defects under severe plastic deformation has been studied. The applied method is a new one for the description of fragmentation modes and corresponding self-organization processes. It is found that a fragmented metallic specimen demonstrates a self-similar behavior, which results in the formation of a grain structure with various grain sizes. Such a behavior takes place provided that the probability distribution for the grain boundary density has a power-law dependence. A comparison of the results obtained in the Ito and Stratonovich forms demonstrates the absence of qualitative changes in the behavior of the system.
引用
收藏
页码:487 / 499
页数:13
相关论文
共 50 条
  • [31] Severe plastic deformation (SPD) processes for metals
    Azushima, A.
    Kopp, R.
    Korhonen, A.
    Yang, D. Y.
    Micari, F.
    Lahoti, G. D.
    Groche, P.
    Yanagimoto, J.
    Tsuji, N.
    Rosochowski, A.
    Yanagida, A.
    CIRP ANNALS-MANUFACTURING TECHNOLOGY, 2008, 57 (02) : 716 - 735
  • [32] RELAXATION MODE OF MACROSCOPIC PLASTIC DEFORMATION IN METALS
    Khon, Yu. A.
    Zuev, L. B.
    RUSSIAN PHYSICS JOURNAL, 2021, 63 (09) : 1545 - 1547
  • [33] Relaxation Mode of Macroscopic Plastic Deformation in Metals
    Yu. A. Khon
    L. B. Zuev
    Russian Physics Journal, 2021, 63 : 1545 - 1547
  • [34] Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
    Caceres, Maria J.
    Canizo, Jose A.
    Mischler, Stephane
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2011, 96 (04): : 334 - 362
  • [35] Self-similar properties under the bandwidth restrainment
    Nakashima, Takuo
    Sueyoshi, Toshinori
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2007, 3 (03): : 495 - 507
  • [36] Analytic theory of self-similar mode-locking
    Bale, Brandon G.
    Kutz, J. Nathan
    Wise, Frank
    OPTICS LETTERS, 2008, 33 (09) : 911 - 913
  • [37] A proof for the mode stability of a self-similar wave map
    Costin, O.
    Donninger, R.
    Xia, X.
    NONLINEARITY, 2016, 29 (08) : 2451 - 2473
  • [38] Self-similar solution describing deformation and water yielding of clay layer under drainage of reservoir
    Egorov, A.G.
    Kosterin, A.V.
    Doklady Akademii Nauk, 2002, 383 (02) : 202 - 206
  • [39] Renormalization of the fragmentation equation: Exact self-similar solutions and turbulent cascades
    Saveliev, V. L.
    Gorokhovski, M. A.
    PHYSICAL REVIEW E, 2012, 86 (06)
  • [40] ABSENCE OF GELATION AND SELF-SIMILAR BEHAVIOR FOR A COAGULATION-FRAGMENTATION EQUATION
    Laurencot, Philippe
    van Roessel, Henry
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (03) : 2355 - 2374