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Archive of Applied Mechanics

02-04-2024 | Original

The macroscopic elastic moduli of the three-phase composite with spring–layer and surface–stress imperfect interfaces

Author: Van-Luat Nguyen

Published in: Archive of Applied Mechanics

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Abstract

This work studies solutions to determine the macro-elastic moduli of three-phase composite materials with imperfect interfaces in 2D. Which is based on the coated circular assemblage model of Hashin-Strikman and the polarization approximation method (PA) to develop the formulae for elastic moduli of circle inclusions with spring-layer and surface-stress imperfect interfaces. From that, explicit algebraic expressions were obtained to estimate the elastic moduli of three-phase composites with imperfect interfaces, in which two phases are different with circular inclusions distributed randomly in the matrix. Besides, the FFT algorithm and the differential approximation (DA) are also developed to determine the elastic moduli of the three-phase composite with imperfect interfaces. The results of the FFT numerical methods will be compared with the DA and PA results with different material cases to show the effectiveness of the applied methods.

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Metadata
Title
The macroscopic elastic moduli of the three-phase composite with spring–layer and surface–stress imperfect interfaces
Author
Van-Luat Nguyen
Publication date
02-04-2024
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-024-02585-7

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