Mathematical and computer homogenization models for bulk mixture composite materials with imperfect interfaces

Nasedkina, A A and Rajagopal, Amirtham (2018) Mathematical and computer homogenization models for bulk mixture composite materials with imperfect interfaces. Materials Physics and Mechanics, 37. pp. 34-41. ISSN 1605-2730

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Abstract

The paper describes the homogenization procedure for two-phase mixture elastic composites that consist of two isotropic phases. It is assumed that on the boundary between the phases, special interface boundary conditions are held, where the stress jumps over the interphase boundary are equal to the surface stresses at the interface. Such boundary conditions are used for description of nanoscale effects in elastic nanobodies and nanocomposites. The homogenization problems are solved using the approach of the effective moduli method, the finite element method and the algorithm for generating the representative volume that consists of cubic finite elements with random distribution of element material properties. To provide a numerical example, a wolfram-copper composite is considered, where the interface conditions are modeled by surface membrane elements. Keywords: composite materials; homogenization problems; effective moduli method; finite element method.

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IITH Creators:
IITH CreatorsORCiD
Rajagopal, AmirthamUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Composite materials, Effective moduli method, Finite element method, Homogenization problems, Indexed in Scopus
Subjects: Civil Engineering
Divisions: Department of Civil Engineering
Depositing User: Library Staff
Date Deposited: 13 Nov 2019 09:45
Last Modified: 13 Nov 2019 09:45
URI: http://raiithold.iith.ac.in/id/eprint/6685
Publisher URL: http://doi.org/10.18720/MPM.3712018_5
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