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Modelling the long-term deformation behaviour of polymers for finite element analysis.

Dean, G D; McCartney, L N; Crocker, L E; Mera, R D (2009) Modelling the long-term deformation behaviour of polymers for finite element analysis. Plast. Rubber Compos., 38 (9-10). pp. 433-443.

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Creep studies have been carried out under uniaxial tension and uniaxial compression on poly(oxymethylene). Measurements under tension have been modelled using a function with four material parameters. One of these parameters, related to a mean retardation time for the relaxation process responsible for creep, decreases with increasing stress, and this gives rise to non-linear creep behaviour. Measurements of creep under compression indicate that the retardation time parameter is determined by the stress state as well as the stress magnitude. A proposed relationship for this parameter has enabled the description of non-linear creep under a general, multi-axial stress.

A theoretical extension of the model has been proposed that relates stresses and strains under situations where the stress is not constant but varies with time. This is necessary for the model to be implemented in a finite element system to carry out design calculations that take proper account of the time-dependent properties of polymers. The validity of the theory is evaluated through the use of the creep model to predict deformation for a variety of simple stress and strain histories under uniaxial tension. These include increasing and decreasing stress in step changes, constant strain (stress relaxation) and constant deformation rate. Predictions are compared with experimental measurements. The close agreement between calculation and measurement supports the development of code, in future work, to obtain solutions for multi-axial stresses and strains using a finite element system.

Item Type: Article
Subjects: Advanced Materials
Advanced Materials > Materials Modelling
Last Modified: 02 Feb 2018 13:15
URI: http://eprintspublications.npl.co.uk/id/eprint/4541

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