NDLI: Homogenization estimates for fiber-reinforced elastomers with periodic microstructures

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Homogenization estimates for fiber-reinforced elastomers with periodic microstructures

Content Provider	Semantic Scholar
Author	Brun, Michele Lopez-Pamies, Oscar Castañeda, Pedro Ponte
Copyright Year	2007
Abstract	This work presents a homogenization-based constitutive model for the mechanical behavior of elastomers reinforced with aligned cylindrical fibers subjected to finite deformations. The proposed model is derived by making use of the sec- ond-order homogenization method (Lopez-Pamies, O., Ponte Castaneda, P., 2006a. On the overall behavior, microstruc- ture evolution, and macroscopic stability in reinforced rubbers at large deformations: I—theory. J. Mech. Phys. Solids 54, 807-830), which is based on suitably designed variational principles utilizing the idea of a ''linear comparison composite.'' Specific results are generated for the case when the matrix and fiber materials are characterized by generalized Neo- Hookean solids, and the distribution of fibers is periodic. In particular, model predictions are provided and analyzed for fiber-reinforced elastomers with Gent phases and square and hexagonal fiber distributions, subjected to a wide variety of three-dimensional loading conditions. It is found that for compressive loadings in the fiber direction, the derived con- stitutive model may lose strong ellipticity, indicating the possible development of macroscopic instabilities that may lead to kink band formation. The onset of shear band-type instabilities is also detected for certain in-plane modes of deformation. Furthermore, the subtle influence of the distribution, volume fraction, and stiffness of the fibers on the effective behavior and onset of macroscopic instabilities in these materials is investigated thoroughly. � 2007 Elsevier Ltd. All rights reserved.
Starting Page	5953
Ending Page	5979
Page Count	27
File Format	PDF HTM / HTML
DOI	10.1016/j.ijsolstr.2007.02.003
Volume Number	44
Alternate Webpage(s)	http://web.engr.illinois.edu/~pamies/Publications_files/IJSS07.pdf
Alternate Webpage(s)	http://pamies.web.engr.illinois.edu/Publications_files/IJSS07.pdf
Alternate Webpage(s)	https://doi.org/10.1016/j.ijsolstr.2007.02.003
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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