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Non‐linear elastic behavior of filler aggregates
Author(s) -
Dargazany Roozbeh,
Itskov Mikhail
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910148
Subject(s) - filler (materials) , aggregate (composite) , materials science , natural rubber , composite material , fractal dimension , chain (unit) , scaling , fractal , deformation (meteorology) , nonlinear system , matrix (chemical analysis) , polymer , colloid , polymer science , chemical engineering , mathematics , physics , geometry , mathematical analysis , engineering , quantum mechanics , astronomy
A filled rubber network consists of polymer chains which are suspended between filler aggregates. In this contribution, the nonlinear elastic behavior of the aggregated filler particles inside the rubber matrix is investigated. Previously, by using scaling theory, the influence of initial length and fractal dimension of aggregates on the elastic response of aggregated structures was studied. Here we additionally take into account a deformation induced evolution of the aggregate structure. To this end, the directional topology of the aggregate structure is represented by its backbone chain. Thus, the analytical approach proposed describes not only the geometrically but also the physically non‐linear behavior of aggregates. Our solution can further be generalized for colloidal structures as for example granular materials or suspended solid structures. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)