Premium
Effective properties and size effects in filled polymers
Author(s) -
Johlitz Michael,
Steeb Holger,
Jänicke Ralf,
Diebels Stefan
Publication year - 2008
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.200890012
Subject(s) - volume fraction , materials science , polymer , stiffness , composite material , constant (computer programming) , surface area to volume ratio , phenomenological model , surface tension , galerkin method , finite element method , mechanics , thermodynamics , mathematics , physics , computer science , statistics , programming language
Filled polymers are of special interest according to their superior mechanical properties. Special attention is given to nano‐filled polymers where not only the volume fraction but also the internal surface has a significant contribution to the effective properties. In the present contribution the increase in stiffness with decreasing size of the fillers at constant volume fraction of the fillers is modelled by a phenomenological, i.e. continuum‐based, approach taking into account large deformations. The proposed multiphase model allows for a systematic investigation of increasing surface‐to‐volume ratio which becomes important for micro‐ and nanosized fillers. The numerical treatment of the proposed model is based on a coupled Galerkin finite element formulation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)