Chloroprene Rubber Compression Test Using COMSOL
Chloroprene Rubber Compression Test
COMSOL
Introduction
Elastomers
and
biological materials
exhibit
strain rate dependent
mechanical behavior and
hysteresis
when subjected to cyclical loads.
The
Bergstrom–Boyce material model
has been successfully used to capture such phenomena
in application cases where such nonequilibrium effects are important in the modeling.
This example demonstrates the use of the
Polymer Viscoplasticity
feature available in the
Nonlinear Structural Materials Module.
Model Definition
A cylindrical rubber specimen
with a height, H, of 13 mm and a
diameter, D, of 68 mm, is
subjected to compression.
The geometry exhibits 2D axial
symmetry as well as a reflection
symmetry in the mid cross section
of the cylinder. It is therefore
possible to reduce the model
geometry to a rectangle.
Model Definition
The specimen is loaded at a
constant true strain rate of
0.002 1/s and the strain is held
constant for 120 s when the strain
level reaches 0.3 and 0.6. The
unloading phase is symmetric with
respect to the loading one.
True strain
Material Model
The viscoplastic flow in the
Bergstrom–Boyce model is
characterized by the following
rate multiplier:
Rheology of the Bergstrom–Boyce material model
A,
co
, c, n,
ref
are material parameters.
Results
When the strain is held constant,
during both the loading phase and
the unloading phase, the stress
tends to the same equilibrium value,
that is, the one given by the pure
elastic network only.
True Stress
Results
The force developed in the
nonequilibrium network relaxes
during the time spans where the
strain is kept fixed.
Normalized Inelastic Force: P
33
A
0
/max(P
33
A
0
)
References
‒
D. Husnu and M.Kaliske, “Bergstrom–Boyce model for nonlinear finite rubber viscoelasticity:
theoretical aspects and algorithmic treatment for the FE method,”
Computational Mechanics
,
vol. 44, pp. 809–823, 2009.
‒
J. S. Bergström and M. Boyce, “Constitutive modeling of the large strain time-dependent behavior
of elastomers”,
Journal of the Mechanics and Physics of Solids
, vol. 46, pp. 931–
954, 1998.
Elastomers and biological materials exhibit strain rate dependent mechanical behavior and hysteresis when subjected to cyclical loads. This example demonstrates the use of the Polymer Viscoplasticity feature in the Nonlinear Structural Materials Module for modeling such phenomena using the Bergstrom Boyce material model. The model involves a cylindrical rubber specimen undergoing compression with specific loading conditions and material parameters. Results show the behavior of stress, true stress, and normalized inelastic force during the loading and unloading phases. References to relevant studies on nonlinear finite rubber viscoelasticity are provided.
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Presentation Transcript
Introduction Elastomers and biological materials exhibit strain rate dependent mechanical behavior and hysteresis when subjected to cyclical loads. The Bergstrom Boyce material model has been successfully used to capture such phenomena in application cases where such nonequilibrium effects are important in the modeling. This example demonstrates the use of the Polymer Viscoplasticity feature available in the Nonlinear Structural Materials Module.
Model Definition A cylindrical rubber specimen with a height, H, of 13 mm and a diameter, D, of 68 mm, is subjected to compression. The geometry exhibits 2D axial symmetry as well as a reflection symmetry in the mid cross section of the cylinder. It is therefore possible to reduce the model geometry to a rectangle.
Model Definition The specimen is loaded at a constant true strain rate of 0.002 1/s and the strain is held constant for 120 s when the strain level reaches 0.3 and 0.6. The unloading phase is symmetric with respect to the loading one. True strain
Material Model The viscoplastic flow in the Bergstrom Boyce model is characterized by the following rate multiplier: Rheology of the Bergstrom Boyce material model A, co, c, n, ref are material parameters.
Results When the strain is held constant, during both the loading phase and the unloading phase, the stress tends to the same equilibrium value, that is, the one given by the pure elastic network only. True Stress
Results The force developed in the nonequilibrium network relaxes during the time spans where the strain is kept fixed. Normalized Inelastic Force: P33A0/max(P33A0)
References D. Husnu and M.Kaliske, Bergstrom Boyce model for nonlinear finite rubber viscoelasticity: theoretical aspects and algorithmic treatment for the FE method, Computational Mechanics, vol. 44, pp. 809 823, 2009. J. S. Bergstr m and M. Boyce, Constitutive modeling of the large strain time-dependent behavior of elastomers , Journal of the Mechanics and Physics of Solids, vol. 46, pp. 931 954, 1998.
