A random field model for generating synthetic microstructures of functionally graded materials

被引:21
|
作者
Rahman, Sharif [1 ]
机构
[1] Univ Iowa, Dept Mech & Ind Engn, Coll Engn, Iowa City, IA 52242 USA
基金
美国国家科学基金会;
关键词
filtered Poisson field; level-cut field; statistically inhomogeneous media; reconstruction algorithm; Monte Carlo simulation;
D O I
10.1002/nme.2340
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The article presents a new level-cut, inhomogeneous, filtered Poisson random field model for representing two-phase microstructures of statistically inhomogeneous, functionally graded materials with fully penetrable embedded particles. The model involves an inhomogeneous, filtered Poisson random field comprising a sum of deterministic kernel functions that are scaled by random variables and a cut of the filtered Poisson field above a specified level. The resulting level-cut field depends on the Poisson intensity, level, kernel functions, random scaling variables, and random rotation matrices. A reconstruction algorithm including model calibration and Monte Carlo simulation is presented for generating samples of two-phase microstructures of statistically inhomogeneous media. Numerical examples demonstrate that the model developed is capable of producing a wide variety of two- and three-dimensional microstructures of functionally graded composites containing particles of various sizes, shapes, densities, gradations, and orientations. An example involving finite element analyses of random microstructures, leading to statistics of effective properties of functionally graded composites, illustrates the usefulness of the proposed model. Copyright (C) 2008 John Wiley & Sons. Ltd.
引用
收藏
页码:972 / 993
页数:22
相关论文
共 50 条
  • [1] A model for functionally graded materials
    Xu, Xiao-Jian
    Meng, Jun-Miao
    [J]. COMPOSITES PART B-ENGINEERING, 2018, 145 : 70 - 80
  • [2] Generating functionally graded steel microstructures by laser powder bed fusion
    Aron Pfaff
    Markus Linnenberg
    Klaus Hoschke
    Frank Balle
    [J]. Journal of Materials Science, 2023, 58 : 17383 - 17404
  • [3] Generating functionally graded steel microstructures by laser powder bed fusion
    Pfaff, Aron
    Linnenberg, Markus
    Hoschke, Klaus
    Balle, Frank
    [J]. JOURNAL OF MATERIALS SCIENCE, 2023, 58 (45) : 17383 - 17404
  • [4] An optimised family of anisotropic microstructures with application to functionally graded materials
    Challis, V. J.
    Cramer, A. D.
    Roberts, A. P.
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2019, 171 : 17 - 29
  • [5] Functionally graded materials for prescribed field evolution
    Turteltaub, S
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (21-22) : 2283 - 2296
  • [6] Newly developed ceramic cutting tool materials with functionally graded microstructures
    Chen, LM
    Kny, E
    Groboth, G
    [J]. EUROMAT 97 - PROCEEDINGS OF THE 5TH EUROPEAN CONFERENCE ON ADVANCED MATERIALS AND PROCESSES AND APPLICATIONS: MATERIALS, FUNCTIONALITY & DESIGN, VOL 2: POLYMERS AND CERAMICS, 1997, : 289 - 292
  • [7] Hybrid Graded Element Model for Nonlinear Functionally Graded Materials
    Wang, Hui
    Cao, Leilei
    Qin, Qing-Hua
    [J]. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2012, 19 (08) : 590 - 602
  • [8] EXPERIMENTAL MODEL OF FRACTURE OF FUNCTIONALLY GRADED MATERIALS
    Jaroniek, Mieczyslaw
    [J]. JOURNAL OF THEORETICAL AND APPLIED MECHANICS, 2010, 48 (01) : 71 - 86
  • [9] Method of lines for temperature field of functionally graded materials
    Yao Dai
    Qi Sun
    Gui-xiang Hao
    Xiu-fa Yan
    Yong-dong Li
    [J]. Journal of Central South University of Technology, 2005, 12 : 230 - 232
  • [10] Method of lines for temperature field of functionally graded materials
    Dai, Y
    Sun, Q
    Hao, GX
    Yan, XF
    Li, YD
    [J]. JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY, 2005, 12 (2): : 230 - 232