Effective Conductivity of Nonlinear Two-Phase Media: Homogenization and Two-Point Padé Approximants

被引：0
|
作者：
J. J. Telega
S. Tokarzewski
A. Gałka
机构：
[1] Institute of Fundamental Technological Research,
来源：
Acta Applicandae Mathematica | 2000年 / 61卷
关键词：
effective properties; homogenization; composites; conductivities; bounds, Padé approximants; continued fractions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is a study of the quasilinear transport equation, for instance the stationary heat equation. For periodically microheterogeneous media asymptotic homogenization has been performed with the local problem formulated as a minimization problem. The Golden–Papanicolaou integral representation theorem and some bounds developed for the linear equation have been extended. Two-point Padé approximants have been used to calculate bounds. Examples are also provided.
引用
收藏
页码：295 / 315
页数：20
相关论文
共 50 条
  • [1] Effective conductivity of nonlinear two-phase media: Homogenization and two-point Pade approximants
    Telega, JJ
    Tokarzewski, S
    Galka, A
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2000, 61 (1-3) : 295 - 315
  • [2] Multivariate Two-Point Padé-Type and Two-Point Padé Approximants
    J. Abouir
    A. Cuyt
    R. Orive
    [J]. Numerical Algorithms, 2003, 33 : 11 - 26
  • [3] Two-point quasifractional approximants for effective conductivity of a simple cubic lattice of spheres
    Andrianov, I
    Danishevskyi, V
    Tokarzewski, S
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1996, 39 (11) : 2349 - 2352
  • [4] Multivariate homogeneous two-point Padé approximants and continued fractions
    Y. Chakir
    J. Abouir
    B. Benouahmane
    [J]. Computational and Applied Mathematics, 2020, 39
  • [5] Effective conductivity of nonlinear two-phase media near the percolation threshold
    Snarskii, AA
    Buda, SI
    [J]. PHYSICA A, 1997, 241 (1-2): : 350 - 354
  • [6] Homogenization relations for elastic properties of two-phase composites using two-point statistical functions
    Saheli, Ghazal
    Garmestani, Hamid
    Gokhale, Arun
    [J]. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2008, 3 (01) : 85 - 106
  • [7] Necessary and sufficient conditions for the two-point phase probability function of two-phase random media
    Quintanilla, John A.
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 464 (2095): : 1761 - 1779
  • [8] Inequalities for Two-Point Padé Approximants to the Expansions of Stieltjes Functions in a Real Domain
    StanisŁaw Tokarzewski
    Józef Joachim Telega
    [J]. Acta Applicandae Mathematica, 1997, 48 : 285 - 297
  • [9] Multivariate two-point Pade-type and two-point Pade approximants
    Abouir, J
    Cuyt, A
    Orive, R
    [J]. NUMERICAL ALGORITHMS, 2003, 33 (1-4) : 11 - 26
  • [10] Effective thermal conductivity of two-dimensional anisotropic two-phase media
    Akbari, Amir
    Akbari, Mohsen
    Hill, Reghan J.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 63 : 41 - 50
12345