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Mathematical description of the stress‐strain behavior of filled binders
Author(s) -
Brock Fred H.
Publication year - 1963
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.1963.070070504
Subject(s) - materials science , ultimate tensile strength , strain (injury) , invariant (physics) , strain energy , stress (linguistics) , composite material , stress–strain curve , strain rate , tensile testing , function (biology) , phenomenological model , mathematics , thermodynamics , physics , condensed matter physics , deformation (meteorology) , mathematical physics , finite element method , medicine , linguistics , philosophy , evolutionary biology , biology
The result of a phenomenological study in the analysis of uniaxial and biaxial tensile behavior of a variety of filled systems is described. A correlation is given that appears to serve as a tensile failure criterion for most of the systems investigated. The storedenergy function W , assumed to be equal to the area under the stress‐strain curve, has been found to obey the relation W = A (1 – exp {– B ( Q – 3)}), where A and B are constants and Q is related to the first or second strain invariant. In general, the total stored energy up to break, divided by A , has a value between 0.7 and 0.8, which appears to be independent of strain rate and temperature. This constancy has also been verified by an independent set of data.