Numerical simulation of martensitic transformations in two- and three-dimensional polycrystals

被引：7
|
作者：
Bruno, OP [1 ]
Goldsztein, GH [1 ]
机构：
[1] CALTECH, Dept Appl Math, Pasadena, CA 91125 USA
来源：
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2000年 / 48卷 / 6-7期
基金：
美国国家科学基金会;
关键词：
polycrystal; martensite; phase transitions; homogenization; plasticity;
D O I：
10.1016/S0022-5096(99)00074-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We introduce a fast numerical method for the evaluation of the effective elastic energy in martensitic polycrystals in two and three dimensions. The overall complexity of the method is O(N) operations, where N is the number of component crystallites. Upper and lower bounds on the energy are also presented which allow us to estimate the accuracy of the numerical results. Our new three-dimensional computations and bounds for random polycrystals, which are the first ones available in the literature, provide substantial insights on the behavior of polycrystalline martensites. They suggest that recoverable strains can be much larger than those attainable with zero energy. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1175 / 1201
页数：27
相关论文
共 50 条
  • [1] Numerical simulation of two- and three-dimensional gravity-capillary waves
    Dosaev, A. S.
    Troitskaya, Yu I.
    [J]. INTERNATIONAL CONFERENCE ON COMPUTER SIMULATION IN PHYSICS AND BEYOND, 2019, 1163
  • [2] Numerical simulation of surface and bulk deformation in three-dimensional polycrystals
    Romanova, V. A.
    Balokhonov, R. R.
    [J]. PHYSICAL MESOMECHANICS, 2009, 12 (3-4) : 130 - 140
  • [3] Numerical simulation of the localization of elastic waves in two- and three-dimensional heterogeneous media
    Sepehrinia, Reza
    Tabar, M. Reza Rahimi
    Sahimi, Muhammad
    [J]. PHYSICAL REVIEW B, 2008, 78 (02)
  • [4] A numerical simulation of the two- and three-dimensional Lagrangian circulation in the northern Gulf of California
    Marinone, S. G.
    [J]. ESTUARINE COASTAL AND SHELF SCIENCE, 2006, 68 (1-2) : 93 - 100
  • [5] Numerical simulation of flow around two- and three-dimensional partially cavitating hydrofoils
    Celik, Fahri
    Ozden, Yasemin Arikan
    Bal, Sakir
    [J]. OCEAN ENGINEERING, 2014, 78 : 22 - 34
  • [6] Three-dimensional phase field model and simulation of cubic → tetragonal martensitic transformation in polycrystals
    Artemev, A
    Jin, YM
    Khachaturyan, AG
    [J]. PHILOSOPHICAL MAGAZINE A-PHYSICS OF CONDENSED MATTER STRUCTURE DEFECTS AND MECHANICAL PROPERTIES, 2002, 82 (06): : 1249 - 1270
  • [7] Two- and three-dimensional Direct Numerical Simulation of particle-laden gravity currents
    Espath, L. F. R.
    Pinto, L. C.
    Laizet, S.
    Silvestrini, J. H.
    [J]. COMPUTERS & GEOSCIENCES, 2014, 63 : 9 - 16
  • [8] Two- and three-dimensional surfaces
    Hauck, J
    Mika, K
    [J]. ZEITSCHRIFT FUR PHYSIKALISCHE CHEMIE-INTERNATIONAL JOURNAL OF RESEARCH IN PHYSICAL CHEMISTRY & CHEMICAL PHYSICS, 2002, 216 (11): : 1281 - 1293
  • [9] Two- and three-dimensional numerical simulations of supersonic ramped inlet
    Askari, R.
    Soltani, M. R.
    [J]. SCIENTIA IRANICA, 2018, 25 (04) : 2198 - 2207
  • [10] Two- and three-dimensional effects in the simulation of wide plate tests
    Howard, IC
    Li, ZH
    Lidbury, DPG
    Othman, AM
    Patel, R
    Sherry, AH
    Simpson, J
    [J]. ECF 12: FRACTURE FROM DEFECTS, VOLS. I-III, 1998, : 963 - 968
12345