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Strain energy functions of rubber. II. The characterization of filled vulcanizates
Author(s) -
James A. G.,
Green A.
Publication year - 1975
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.1975.070190822
Subject(s) - strain (injury) , homogeneous , natural rubber , strain energy , range (aeronautics) , characterization (materials science) , materials science , stress–strain curve , stress (linguistics) , function (biology) , strain energy density function , mathematics , composite material , mathematical analysis , structural engineering , thermodynamics , finite element method , physics , engineering , deformation (meteorology) , nanotechnology , medicine , linguistics , philosophy , evolutionary biology , biology
Abstract In part I it was shown that if the strain energy function\documentclass{article}\pagestyle{empty}\begin{document}$$ {\rm w} = \sum\limits_{ij = 0}^\infty {C_{ij} (I_1 ‐ 3)^i ({\rm I}_2 ‐ 3)^j } $$\end{document} was expanded to a sufficient degree and the coefficients C ij were found by regression to pure homogeneous strain data, then stress–strain equations could be derived to give accurate solutions to design problems even at relatively high extensions. The problems of applying this theory to filed vulcanizates are discussed and a way of obtaining pure homogeneous strain data for for such materials is suggested. Stress–strain equations fitted to the data are found to be general within the range of experimental strains and in some cases will extrapolate outside this range. The equations can be used in design applications where strains are greater than would be experienced in normal engineering practice.