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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