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Overall elastic properties of composites from optimal strong contrast expansion

To, Q.-D. and Nguyen, M.-T. and Bonnet, G. and Monchiet, V. and To, V.-T. (2017) Overall elastic properties of composites from optimal strong contrast expansion. International Journal of Solids and Structures, 120. pp. 245-256. ISSN 207683

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Abstract

In this paper, we propose a new systematic procedure of estimating elastic properties of composites constituted of two phases, matrix and inclusions. A class of integral equations based on eigenstrain (or eigenstress) with the matrix as reference material is constructed with an explicit form in Fourier space. Each integral equation belonging to this class can yield estimates of the overall elastic tensor via Neumann series expansion. The best estimates and series are selected based on the convergence rate criteria of the series, i.e the spectral radius must be minimized. The optimized series is convergent for any finite contrast between inclusions and matrix. Applying the optimized series and the associated estimates to different microstructures yields very satisfying results when compared with the related full solution. For the case of a random distribution of spherical inclusions, exact relations between the elastic tensor and nth order structure factors are demonstrated. © 2017 Elsevier Ltd

Item Type: Article
Divisions:
Faculties > Faculty of Vehicle and Energy Engineering
Identification Number: 10.1016/j.ijsolstr.2017.05.006
Uncontrolled Keywords: Elasticity; Fourier series; Fourier transforms; Matrix algebra; Metallic glass; Tensors; Elastic properties; Neumann series; Neumann series expansion; Random distribution; Reference material; Spectral radii; Spherical inclusion; Triplet structures; Integral equations
Additional Information: Language of original document: English. All Open Access, Bronze, Green.
URI: http://eprints.lqdtu.edu.vn/id/eprint/9711

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