Modeling Elastic Properties of Composites using Asymptotic Averaging Method with Imperfect Interface

The paper presents a modification of the asymptotic averaging method for solving the homogenization problem of elastic properties for composite materials. The elasticity of the phase interface is taken into account. The conditions of a soft imperfect interface are considered, which account for a dis...

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Bibliographic Details
Published in:Mathematical models and computer simulations 2021-03, Vol.13 (2), p.347-359
Main Authors: Sokolov, A. P., Shchetinin, V. N., Kozlov, M. Yu
Format: Article
Language:English
Subjects:
Asymptotic methods
Asymptotic properties
Composite materials
Elastic properties
Finite element method
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Parameter identification
Simulation and Modeling
Unidirectional composites
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Summary:The paper presents a modification of the asymptotic averaging method for solving the homogenization problem of elastic properties for composite materials. The elasticity of the phase interface is taken into account. The conditions of a soft imperfect interface are considered, which account for a displacement jump on the phase boundary. A review of the interface-modeling methods in composite materials is presented. The finite element method is used for the numerical implementation of the averaging method. A model of a interface finite element is proposed. Elastic properties averaging is adapted to the presence of a discontinuity in the displacement field. Application limits of the soft imperfect interface are estimated in terms of interphase layer properties. The identification of the interface parameters using experimental data is considered. Computational experiments are conducted for dispersed-reinforced and unidirectional composite with isotropic inclusion.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048221020150