Constitutive modelling of the mechanical response of a polycaprolactone based polyurethane elastomer: Finite element analysis and experimental validation through a bulge test

Abstract

The mechanical behaviour of a high performance polycaprolactone based polyurethane elastomer (PCL) up to large strain levels, cyclic loading and equibiaxial stress has been assessed. The PCL can be categorised as a rubber-like material, thus, showing nonlinear stress-strain behaviour. The materials elastic network is based on a high molecular weight PCL polyol which gives the material its elastomeric behaviour similar to polyurethanes. In this work, mechanical testing capturing the major features of the stress-strain curve under different loading conditions is performed. Both, uni-axial loading-unloading curves and bulge test are thoroughly studied through the addition of digital image correlation (DIC) to measure the strain field. Results show the presence of hysteresis and loading configuration dependence. Then, two well-known hyperelastic constitutive models, the Arruda-Boyce eight-chain and Bergström-Boyce, were fitted to the uni-axial monotonic and cyclic test data and compared to the bulge test experimental results through finite element analysis (FEA) in Abaqus.

Stability study of the compressible Mooney-Rivlin hyperelastic model

“…These load cases are essential for material calibration. However, other homogeneous loads 24 or nonhomogeneous loads 25 can also be used for parameter identification.…”

Effects of graphene network formation and its correlation with microstructure and mechanical properties in dynamically vulcanized PP/EPDM composites reinforced with few‐layer graphene

“…The AB model is an extension of the neohookean material model that helps to make accurate explanation in the field of large strains, inspired by molecular structure of the polymers to simulate the nonlinear Langevin chain statistics of individual polymer chains in the network. [36][37][38] The yield point can substitute for different strain rates. As seen in Figure 1, the rheological model of AB constitutive law is made from three elements including: (I) A linear elastic spring, in series with the two other elements in the inelastic network.…”

“…In this study, a hyperplastic model named Arruda–Boyce (AB) is used to evaluate the nonlinear stress–strain behavior of PP/EPDM nanocomposite based on FLG. The AB model is an extension of the neo‐hookean material model that helps to make accurate explanation in the field of large strains, inspired by molecular structure of the polymers to simulate the non‐linear Langevin chain statistics of individual polymer chains in the network 36–38 . The yield point can substitute for different strain rates.…”

Finite Element Simulation of Radial Tire Building and Shaping Processes Using an Elasto-Viscoplastic Model

“…However, despite the differences in the elastic and viscoplastic level, the uncured rubber and cured rubber are both elastoviscoplastic polymers. And some well-developed constitutive models for cured rubber, such as the generalized Maxwell model [15], the extended eight-chain models [16,17], and the recently developed hyper-visco-pseudo-elastic models [18][19][20][21], can provide instructional significance for the mechanical property characterization of the uncured rubber. Kaliske et al [8] first proposed a phenomenological constitutive model based on the linear viscoelasticity framework to describe the nonlinear mechanical behaviors of the uncured rubber.…”