NDLI: Strain-energy based homogenisation of two- and three-dimensional hyperelastic solid foams

Content Provider	Springer Nature Link
Author	Demiray, Serkan Becker, Wilfried Hohe, JÖrg
Copyright Year	2005
Abstract	A possible classification of cellular solids can be made based on the dimension into honeycombs and foams. In numerical simulations 2D models that are employed primarily to study honeycombs can also be used to model open-cell foams. Thereby, a loss of information regarding the 3D connectivity of the microstructure is involved. To answer the question how the missing third dimension in 2D models affects the overall properties, spatially periodic 2D and 3D model foams are adopted. From the point of homogenisation, a strain-energy based scheme is used for adequately determining the effective mechanical properties at large strains. The key idea behind this method is to use directly the equivalence condition between the meso-strain energy and the macro-strain energy. In a first step a representative volume element with the given microstructure and a corresponding volume element containing the effective medium are subjected to equivalent states of deformation. Subsequently, the macroscopic stress-strain relationships are determined by volume-averaging of the stored strain energy. The results of some fundamental loading cases indicate that both model foams represent the deformation characteristics of hyperelastic solid foams like localized bending and elastic buckling. In addition, the development of anisotropy due to microstructural changes at large strains can be traced with both model foams. Nevertheless, the different cell morphology affects the stress-strain curves in a quantitative manner.
Starting Page	5839
Ending Page	5844
Page Count	6
File Format	PDF
ISSN	00222461
Journal	Journal of Materials Science
Volume Number	40
Issue Number	22
e-ISSN	15734803
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2005-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Homogenisation Open-cell foams Effective properties Polymer Sciences Materials Science Characterization and Evaluation Materials Mechanics Continuum Mechanics and Mechanics of Materials Crystallography
Content Type	Text
Resource Type	Article
Subject	Ceramics and Composites Mechanics of Materials Mechanical Engineering Polymers and Plastics

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