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Stress–relaxation in three‐element and four‐element mechanical models of viscoelastic materials
Author(s) -
Joye Donald D.
Publication year - 1993
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.1993.070470214
Subject(s) - viscoelasticity , creep , stress relaxation , relaxation (psychology) , stress (linguistics) , materials science , constant (computer programming) , consistency (knowledge bases) , work (physics) , deformation (meteorology) , mechanics , composite material , thermodynamics , physics , mathematics , computer science , geometry , psychology , social psychology , linguistics , philosophy , programming language
Three‐ and four‐element mechanical analogues are commonly used to describe viscoelastic behavior in creep (deformation under constant force or stress) but not in stress relaxation (stress response after a suddenly imposed, constant strain). Mathematical models of the mechanical analogues in stress–relaxation are re‐derived in this work, keeping notation familiar to polymer scientists. The relationship is shown to meet consistency tests and predicts, with very good accuracy, the behavior of a polyisobutylene sample in stress relaxation when the equation constants were derived from creep experiments. In experiments on an actual mechanical analog, the motion of the Voigt element is shown to exhibit a maximum stress. Implications for the interpretation of creep and stress–relaxation data on the same material are discussed. © 1993 John Wiley & Sons, Inc.