Viscoelastic properties of semi-crystalline thermoplastic polymers:
dynamic analysis and creep
Dan-Andrei Şerban
1, a
, Henry Hanson
2, b
, Liviu Marşavina
1, c
and Vadim V.
Silberschmidt
2, d
1
Department of Strength of Materials, ‘‘Politehnica’’ University of Timişoara, 1 M. Viteazul Blvd.,
Timişoara, 300222, Romania
2
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University,
Leicester-shire LE11 3TU, UK
a
serban.andrei85@gmail.com,
b
h.n.hanson@lboro.ac.uk,
c
lmarsavina@yahoo.com,
d
v.silberschmidt@lboro.ac.uk
Keywords: Semi-crystalline thermoplastic polymer; Viscoelastic properties; DMA test; Creep
Abstract. When subjected to external loading, polymeric materials behave in a manner
intermediate between elastic solids and viscous fluids. Their mechanical properties depend on a
material’s viscous flow, which, in turn, is influenced by (i) temperature, with its different
magnitudes determining a ductile or brittle behaviour and (ii) time, through the effect of a
deformation rate and long-term relaxation. Short-term viscoelastic properties (loss and storage
moduli) of a studied semi-crystalline thermoplastic polymer were obtained using Dynamic
Mechanical Analysis, while its long-term viscoelastic properties (compliances) were determined
using creep tests.
1. Introduction
In many practical applications materials of various components and structures are considered to
be sufficiently characterized by simple laws (elasticity, plasticity, viscosity, etc.) in order to reduce
computational complexity of their simulations. In reality, no solid exhibits perfect elasticity and no
fluid exhibits pure Newtonian viscosity: deformation of every type of material has an elastic part
and a flow part [1]. This behaviour is more evident in the case of polymers (due to the fact that their
microstructure is composed on long molecular chains [1]), where, apart from the elastic/hyperelastic
stress-strain response [2], a viscous-flow behaviour can be observed in the form of stress
relaxation/creep as well as temperature- and strain-rate-dependent properties [1-4]. In many cases, it
is impossible to separate permanent damage induced to the microstructure from the reversible
damage. The molecular basis for stress relaxation and creep accounts for several types of
mechanisms that are responsible for softening of the material: chain scission, viscous flow, bond
interchange, molecular relaxation, etc [1].
The goal of this study is to collect information about the viscoelastic behaviour of the studied
semi-crystalline thermoplastic polymer in order to develop a virtual-material model for finite
element analysis. Previous tests performed on the studied material determined strain-rate- and
temperature-dependency of its mechanical properties [2] but no quantitative description of the
viscoelastic properties was obtained.
A practical way at looking at viscoelasticity is to consider the material as a mathematical model
that features both elasticity and viscosity. Several models were developed throughout the years,
such as the Maxwell fluid (a spring and a dashpot in series), the Kelvin solid (a spring and a dashpot
in parallel). The mathematical models used in specialized software packages use combinations of
these simple models, such as the generalized Maxwell fluid, the generalized Voigt-Kelvin solid or
the Burgers model [1, 3-5], which can provide more accurate descriptions in terms of material
behaviour.
The softening behaviour of viscoelastic materials is modelled with the help of Prony series.
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