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Nonlinear viscoelastic response in two dimensions—numerical modeling and experimental verification
Author(s) -
Keren B.,
Partom Y.,
Rosenberg Z.
Publication year - 1984
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760241807
Subject(s) - viscoelasticity , nonlinear system , constitutive equation , calibration , materials science , code (set theory) , stress (linguistics) , structural engineering , set (abstract data type) , simple (philosophy) , mechanical engineering , computer science , finite element method , engineering , physics , composite material , linguistics , philosophy , quantum mechanics , programming language , epistemology
Recently we developed a nonlinear viscoelastic constitutive model which called the Phases Model (PHM) [10]. The main advantages of the PHM over existing nonlinear viscoelastic models are that it lends itself to simple, straightforward calibration of the material functions, and that it is naturally suitable to step‐by‐step computer simulation. In this paper we apply the PHM to two dimensional (2‐D) situations. To this end, we've developed a 2‐D finite difference code in cylindrical geometry which is based on the PHM. We demonstrate the validity of our modeling by applying the code to a 2‐D set‐up developed for this purpose. The 2‐D specimen is in the form of a disc of the test material compressed between two rigid metal anvils by a velocity‐controlled Instron machine. We monitor the response of the viscoelastic disc in terms of the overall axial force history, and the axial stress component at the disc center. We get good agreement between theory and experiment.