Towards a virtual functionally graded foam: Defining the large strain constitutive response of an isotropic closed cell polymeric cellular solid

Files in This Item:
File Description SizeFormat 
kiernan-gilchrist-v11 dine.pdf757.94 kBAdobe PDFDownload
Title: Towards a virtual functionally graded foam: Defining the large strain constitutive response of an isotropic closed cell polymeric cellular solid
Authors: Kiernan, Stephen
Gilchrist, M. D.
Permanent link: http://hdl.handle.net/10197/4595
Date: Nov-2010
Abstract: Functionally graded materials have been defined by Hirai[1] to be “a new generation of engineered materials wherein the microstructural details are spatially varied through a non-uniform distribution of the reinforcement phase(s)...”. Extending this paradigm to the field of cellular solids, a functionally graded foam material (FGFM) may be thought of as a foam for which microstructural features such as cell size, and strut and wall (for closed cell foams) thickness vary in a continuous manner across the volume of the foam. These features may be varied globally by variation of the foam’s density, ρf. Cui et al., [2] and Kiernan et al., [3] have shown some potential benefits of FGFMs under dynamic conditions using discretely layered Finite Element foam models. In their work the ABAQUS crushable foam model defines the constitutive response of each element layer of a regularly shaped specimen. The density, and corresponding Young’s modulus, Ef, and hardening law of each layer is unique, thus defining a quasi-graded response. Motivated by their results, this paper attempts to describe the large strain compressive response of a generic foam, ultimately using ρf as the only independent input parameter. Experimental data is gathered from a number of expanded polystyrene foam specimens of different densities, and important foam characteristics are defined as functions of ρf. Results compare excellently to those of the ABAQUS foam model, and limitations of the modeling approach are discussed.
Type of material: Journal Article
Publisher: Elsevier
Copyright (published version): 2010 Elsevier
Keywords: cellular;foam;constitutive;finite element;density;Abaqus
DOI: 10.1016/j.ijengsci.2010.09.004
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mechanical & Materials Engineering Research Collection

Show full item record

SCOPUSTM   
Citations 50

8
Last Week
0
Last month
checked on Jun 23, 2018

Google ScholarTM

Check

Altmetric


This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.