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Model for prediction of the elastic response of reinforced materials over wide ranges of concentration
Author(s) -
Farber Jorge N.,
Farris Richard J.
Publication year - 1987
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1987.070340604
Subject(s) - materials science , elastic modulus , homogeneous , composite material , deformation (meteorology) , moduli , matrix (chemical analysis) , filler (materials) , mechanics , statistical physics , physics , quantum mechanics
A model for the prediction of the elastic response of reinforced materials over wide ranges of concentration is presented. The method is based on the mathematical analogy between the motion of particles suspended in viscous media and the elastic deformation of solids. The system is locally described by linearized forms of the elastic moduli. The validity of these relations is then extended to all concetrations under the assumption that any new portion of filler “sees” the existing structure as a noniteracting homogeneous matrix. The method predicts the behavior of reinforced materials with solid spherical inclusions and foams over wide ranges of concentration. The model, free from adjustable parameters, shows excellent agreement with existing experimental data. The extension of the method to other inclusion geometries is straightforward.