A constitutive model for thermoplastics with some applications
A constitutive model for thermoplastics is outlined in this paper. The model consists of two
parts: A hyperelastic-viscoplastic response due to intermolecular resistance denoted Part A,
and an entropic hyperelastic response due to re-orientation of molecular chains called Part
B. Both parts are developed within a framework for finite strains. The main constituents
are the Neo-Hookean model describing large elastic deformations, the pressure-sensitive
Raghava yield function, a non-associated visco-plastic flow potential and Anand’s stress-
stretch relation representing the intramolecular stiffness. The 11 non-zero coefficients of the
model are identified from uniaxial tension and compression tests on two materials, HDPE
and PVC, which are respectively semi-crystalline and amorphous thermoplastics.
Subsequently, it is employed in numerical simulations of three-point bending tests on the same
materials. The model gives satisfactory predictions when compared to experimental
behaviour.
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