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

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

Guo, Zaoyang, Shi, Xiaohao, Chen, Yang, Chen, Huapeng, Peng, Xiongqi and Harrison, Philip (2014) Mechanical modeling of incompressible particle-reinforced neo-Hookean composites based on numerical homogenization. Mechanics of Materials, 70. pp. 1-17. ISSN 0167-6636 (doi:https://doi.org/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. Threedimensional 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: Article
Additional Information: [1] Received: 1 May 2013. [2] Received in revised form: 6 October 2013. [3] Available online: 4 December 2013. [4] Published in print: March 2014. [5] Copyright (c) 2013 Elsevier Ltd. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).
Uncontrolled Keywords: particle-reinforced composite, representative volume element, (RVE), Neo-Hookean, numerical homogenization, hyperelasticity
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Faculty / Department / Research Group: Faculty of Engineering & Science
Related URLs:
Last Modified: 30 Jan 2017 15:11
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/11465

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