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The implementation of B-splines to Hashin and Shtrikman variational principle based FFT method for the homogenization of composite

  • Published:2020-05 Issue: Volume:191-192 Page:133-145
  • ISSN:0020-7683
  • Container-title:International Journal of Solids and Structures
  • language:en
  • Short-container-title:International Journal of Solids and Structures

Author:

Tu Fubin,Jiao YuyongORCID,Zhou Xiaoyong,Cheng Yi,Tan Fei

Funder

Natural Science Foundation of China

China University of Geosciences

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science,Modeling and Simulation

Reference36 articles.

1. The partition of unity method;Babuška;Int. J. Numer. Methods Eng.,1997

2. Templates for the solution of linear systems: building blocks for iterative methods;Barrett,1994

3. FFT-based bounds on the permeability of complex microstructures;Bignonnet;Int. J. Numer. Anal. Methods Geomech.,2014

4. Reconstructing displacements from the solution to the periodic Lippmann-Schwinger equation discretized on a uniform grid;Brisard;Int. J. Numer. Methods Eng.,2017

5. FFT-based methods for the mechanics of composites: a general variational framework;Brisard;Comput. Mater. Sci,2010

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1. Assumed strain methods in micromechanics, laminate composite voxels and level sets;International Journal for Numerical Methods in Engineering;2024-02-20

2. On the effectiveness of the Moulinec–Suquet discretization for composite materials;International Journal for Numerical Methods in Engineering;2023-04-05

3. Fast-Fourier Methods and Homogenization;Reference Module in Materials Science and Materials Engineering;2023

4. Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization;International Journal for Numerical Methods in Engineering;2022-09-08

5. Suppressing the very low-frequency noise by B-spline gating of transient electromagnetic data;Journal of Geophysics and Engineering;2022-07-29
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