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Solutions for elastic moduli of three-phase composite with random distribution of coated-ellipse inclusions

Nguyen Faculty of Mechanical Engineering, Hanoi University of Industry, 298 Cau Dien street, Bac Tu Liem District, Hanoi, Viet Nam|
Van-Luat (57199220146) |

Functional Composites and Structures Số 4, năm 2022 (Tập 4, trang -)

ISSN: 26316331

ISSN: 26316331

DOI: 10.1088/2631-6331/ac9c42

Tài liệu thuộc danh mục:



Từ khóa: Aggregates; Elastic moduli; Fast Fourier transforms; Geometry; Numerical methods; Coated-ellipse inclusion; Differential approximations; Ellipse model; Equivalent inclusion; Fast fourier transformation; Fast Fourier transformations; Polarization approximation; Random distribution; Three phase; Three-phase composites; Polarization
Tóm tắt tiếng anh
Some solutions in this work are developed to estimate the elastic moduli of three-phase isotropic composite with random coated-ellipse inclusion in the matrix. Solutions to the macro-elastic moduli of materials in two-dimensional space using approximation and numerical methods including equivalent-inclusion (EI), polarization approximation (PA), differential approximations (DA), and fast Fourier transformation (FFT). In which, there is a combination of those methods to give approximations such as EI-PA, EI-DA, FFT-EI. The construction algebraic expressions can be directly applied to the random coated-ellipse model, in special cases it can be used for circular aggregate particles. The numerical solutions using FFT analysis will be compared with EI-PA, EI-DA, and Hashin-Shtrikman’s bounds. From this, it is possible to indicate the best solution that engineers can use to determine the elastic modulus of the coated-ellipse model. © 2022 The Korean Society for Composite Materials and IOP Publishing Limited.

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