Fourier Transform approach to numerical homogenization of periodic media containing sharp insulating and superconductive cracks

被引：1
|
作者：
To, Quy-Dong [1 ]
Bonnet, Guy [1 ]
机构：
[1] Univ Gustave Eiffel, Lab MSME, CNRS, UMR 8208, F-77454 Marne la Vallee, France
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2023年 / 403卷
关键词：
Fast Fourier transform; Numerical homogenization method; Fractured media; Iteration scheme; Insulating crack; Superconductive crack; GALERKIN METHOD; COMPOSITES; SCHEME;
D O I：
10.1016/j.cma.2022.115710
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the present paper, we propose a new FFT based numerical homogenization method to compute the effective conductivity of fractured media involving insulating and superconductive cracks. The governing Lippmann Schwinger (LS) equations based on temperature jump and heat flux jump distribution localized on crack lines are formulated and the geometry of sharp cracks is described by exact expressions of form factors. To solve the LS equations, the bi conjugate gradient stabilized method is used and leads to fast convergence. Numerical examples in 2D and 3D show a good accuracy when compared with standard Finite Element Method solutions.(c) 2022 Elsevier B.V. All rights reserved.
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