Reaction-Diffusion equation for dislocation multiplication process

被引:0
|
作者
Shoji, T [1 ]
Miura, S [1 ]
Mohri, T [1 ]
机构
[1] Hokkaido Univ, Grad Sch Engn, Div Engn & Mat Sci, Sapporo, Hokkaido 0608628, Japan
来源
MATERIALS TRANSACTIONS JIM | 2000年 / 41卷 / 05期
关键词
Reaction-Diffusion equation; dislocation theory; collective dislocation behavior; dislocation; plastic deformation; heterogeneous deformation; work hardening; stress-strain curve;
D O I
10.2320/matertrans1989.41.585
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In order to take multiple behavior of both mobile and immobile dislocations into account, Reaction-Diffusion equation is employed and a stress-strain curve is calculated. Characteristic three stages of a stress-strain curve are reproduced. The serration observed in the early stage of the deformation is interpreted based on the microscopic inhomogeneous multiplication process of dislocations leading to self-organization.
引用
收藏
页码:585 / 588
页数:4
相关论文
共 50 条
  • [1] ON REACTION-DIFFUSION EQUATION WITH ABSORPTION
    王立文
    陈庆益
    ActaMathematicaScientia, 1993, (02) : 147 - 152
  • [2] Fractional reaction-diffusion equation
    Seki, K
    Wojcik, M
    Tachiya, M
    JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (04): : 2165 - 2170
  • [3] ON REACTION-DIFFUSION EQUATION WITH ABSORPTION
    WANG, LW
    CHEN, QY
    ACTA MATHEMATICA SCIENTIA, 1993, 13 (02) : 147 - 152
  • [4] A reaction-diffusion equation with memory
    Grasselli, M
    Pata, V
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 15 (04) : 1079 - 1088
  • [5] On a fractional reaction-diffusion equation
    de Andrade, Bruno
    Viana, Arlucio
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (03):
  • [6] DISLOCATION PATTERNS FROM REACTION-DIFFUSION MODELS
    SALAZAR, JM
    FOURNET, R
    BANAI, N
    ACTA METALLURGICA ET MATERIALIA, 1995, 43 (03): : 1127 - 1134
  • [7] RANDOM ATTRACTOR FOR THE REACTION-DIFFUSION EQUATION PERTURBED BY THE STOCHASTIC "CADLAG" PROCESS
    Kapustyan, O. V.
    Valero, K.
    Pereguda, O. V.
    THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2005, 73 : 52 - 62
  • [8] Pattern selection in a reaction-diffusion equation
    Wang Ping
    Hsieh Din-Yu
    Tang Shaoqiang
    Acta Mechanica Sinica, 2002, 18 (6) : 652 - 660
  • [9] REACTION-DIFFUSION EQUATION ON THIN DOMAINS
    HALE, JK
    RAUGEL, G
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1992, 71 (01): : 33 - 95
  • [10] PHASELOCKING IN A REACTION-DIFFUSION EQUATION WITH TWIST
    ERMENTROUT, GB
    TROY, C
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (06) : 1504 - 1520