Temperature-time large strain mechanical model for Poly (vinylidene fluoride)

The temperature-dependent visco-hyperelastic-viscoplastic behavior of poly(vinylidene fluoride) is investigated and modeled. The proposed mathematical formulation of the visco-hyperelastic element is constructed using a generalized Maxwell model consisting of non-linear springs and viscous dampers in series with a viscoplastic element. The Yamashita and Kawabata strain energy function is considered for modeling the hyperelastic response of the non-linear springs' elements. The viscoelastic response is represented by the Prony series invoking the time-temperature correspondence principle and employing the Arrhenius equation to define the shift factors. The viscoplastic flow rate is defined by a phenomenological model activated when the Frobenius norm of the deviatoric portion of the Cauchy stress exceeds the material yield stress. The material parameters are calibrated from stress relaxation and monotonic tensile tests performed at different temperatures. Model predictions showed good agreement with the experimental results.