Multigrid solution of the 3D stress field in strongly heterogeneous materials

被引:20
|
作者
Boffy, Hugo [1 ]
Venner, Cornelis H. [1 ]
机构
[1] Univ Twente, Fac Mech Engn, NL-7500 AE Enschede, Netherlands
关键词
Multigrid; Material design; Linear elasticity; Heterogeneous properties; PLASTICITY; SUBJECT; MODEL;
D O I
10.1016/j.triboint.2014.02.019
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Technology allows the production of advanced (heterogeneous) materials controlling properties on an increasingly local scale, e.g. layered, graded, granular and fiber-reinforced. In this paper the efficiency of the Multigrid method for 3D stress calculation involving such materials is investigated. Results are validated using model problems and the full potential is demonstrated for two representative problems. The developed algorithm facilitates solution of 3D problems with high accuracy and dense grids on standard computers. It has excellent prospects for use in performance prediction, analysis and numerical (local) design optimization in tribology and contact mechanics. (c) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:121 / 129
页数:9
相关论文
共 50 条
  • [1] Multigrid solution of 2D and 3D stress fields in contact mechanics of anisotropic inhomogeneous materials
    Zhang, Binbin
    Boffy, Hugo
    Venner, Cornelis H.
    TRIBOLOGY INTERNATIONAL, 2020, 149
  • [2] An Efficient 3D Model of Heterogeneous Materials for Elastic Contact Applications Using Multigrid Methods
    Boffy, Hugo
    Baietto, Marie-Christine
    Sainsot, Philippe
    Lubrecht, Antonius A.
    JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 2012, 134 (02):
  • [3] Multigrid numerical simulation of contact mechanics of elastic materials with 3D heterogeneous subsurface topology
    Boffy, Hugo
    Venner, Cornelis H.
    TRIBOLOGY INTERNATIONAL, 2015, 92 : 233 - 245
  • [4] An efficient MultiGrid solver for the 3D simulation of composite materials
    Gu, Hanfeng
    Rethore, Julien
    Baietto, Marie-Christine
    Sainsot, Philippe
    Lecomte-Grosbras, Pauline
    Venner, Cornelis H.
    Lubrecht, Antonius A.
    COMPUTATIONAL MATERIALS SCIENCE, 2016, 112 : 230 - 237
  • [5] Multigrid methods for the computation of 3D electromagnetic field problems
    Kaltenbacher, M
    Reitzinger, S
    Schinnerl, M
    Schöberl, J
    Landes, H
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2001, 20 (02) : 581 - 594
  • [6] 3D Heterogeneous Integration with 2D Materials
    McClellan, Connor
    Bailey, Connor
    Datye, Isha
    Gabourie, Alexander
    Grady, Ryan
    Schauble, Kirstin
    Vaziri, Sam
    Pop, Eric
    2019 SILICON NANOELECTRONICS WORKSHOP (SNW), 2019, : 89 - 90
  • [7] An efficient matrix-free preconditioned conjugate gradient based multigrid method for phase field modeling of fracture in heterogeneous materials from 3D images
    Liu, Xiaodong
    Rethore, Julien
    Lubrecht, Antonius Adrianus
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 388
  • [8] Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes
    Ghaffar, Fazal
    Badshah, Noor
    Islam, Saeed
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] A 3D SPECTRAL MULTIGRID METHOD
    HEINRICHS, W
    APPLIED MATHEMATICS AND COMPUTATION, 1991, 41 (02) : 117 - 128
  • [10] High accuracy multigrid solution of the 3D convection-diffusion equation
    Gupta, MM
    Zhang, J
    APPLIED MATHEMATICS AND COMPUTATION, 2000, 113 (2-3) : 249 - 274