Mechanical modeling of incompressible particle-reinforced neo-Hookean composites based on numerical homogenization

Guo, Z., Shi, X., Chen, Y., Chen, H., Peng, X. and Harrison, P. (2014) Mechanical modeling of incompressible particle-reinforced neo-Hookean composites based on numerical homogenization. Mechanics of Materials, 70, pp. 1-17. (doi:10.1016/j.mechmat.2013.11.004)

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Abstract

In this paper, the mechanical response of incompressible particle-reinforced neo-Hookean composites (IPRNC) under general finite deformations is investigated numerically. Three-dimensional Representative Volume Element (RVE) models containing 27 non-overlapping identical randomly distributed spheres are created to represent neo-Hookean composites consisting of incompressible neo-Hookean elastomeric spheres embedded within another incompressible neo-Hookean elastomeric matrix. Four types of finite deformation (i.e., uniaxial tension, uniaxial compression, simple shear and general biaxial deformation) are simulated using the finite element method (FEM) and the RVE models with periodic boundary condition (PBC) enforced. The simulation results show that the overall mechanical response of the IPRNC can be well-predicted by another simple incompressible neo-Hookean model up to the deformation the FEM simulation can reach. It is also shown that the effective shear modulus of the IPRNC can be well-predicted as a function of both particle volume fraction and particle/matrix stiffness ratio, using the classical linear elastic estimation within the limit of current FEM software.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Shi, Miss Xiaohao and Guo, Dr Zaoyang and Harrison, Dr Philip
Authors: Guo, Z., Shi, X., Chen, Y., Chen, H., Peng, X., and Harrison, P.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Mechanics of Materials
Publisher:Elsevier
ISSN:0167-6636
ISSN (Online):1872-7743
Copyright Holders:Copyright © 2014 Elsevier Ltd.
First Published:First published in Mechanics of Materials 70:1-17
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
599831Microstructure-Based Multi-Physics Characterisation and Modelling of Magnetorheological ElastomersPhilip HarrisonEngineering & Physical Sciences Research Council (EPSRC)EP/H016619/3ENG - ENGINEERING SYSTEMS POWER & ENERGY