Two-layer Viscoplasticity Model Research Articles

A time and hydration dependent viscoplastic model for polyelectrolyte membranes in fuel cells

Ionomers are co-polymers with ionic groups. One of the interesting applications of ionomer membranes is as electrolytes in proton exchange membrane (PEM) fuel cells. The most commonly used membranes in PEM fuel cells are perfluorosulfonic acid (PFSA) membranes, e.g., Nafion® from DuPontTM. Besides its dependency on temperature and hydration due to phase inversion and cluster formation, Nafion® as a polymer, exhibits strong time and rate effects. In this work, the stress–strain behavior of Nafion® at different strain rates has been obtained in an environmental chamber for various temperatures and hydrations. After a certain strain was reached in each test, stress relaxation was performed for an hour to observe the relaxation behavior of Nafion®. We attempted to use a nonlinear, time-dependent constitutive model to predict the hygro-thermomechanical behavior of Nafion®. Because a substantial component of the response is unrecoverable, a viscoplastic model was employed. The proposed two-layer viscoplasticity model consisted of an elastoplastic network that was in parallel with an elastic-viscous network (Maxwell model) which separates the rate-dependent and rate-independent behavior of the material. After obtaining the necessary parameters for different hydrations, this model showed reasonably accurate success in predicting the stress–strain behavior at different strain rates, and matched the relaxation test results. Finite element simulations based on the proposed two-layer viscoplasticity model were in good agreement with test results and can be used to study the stress–strain state of the ionomer membranes in fuel cell configurations.

Modelling the high-temperature longitudinal fatigue behaviour of metal matrix composites (SiC/Ti-6242): Nonlinear time-dependent matrix behaviour

The purpose of this work is modelling of the behaviour of a metal matrix (Ti-6242) that governs the nonlinear time-dependent response of the metal matrix composite (SiC/Ti-6242). For this purpose two different viscoplastic constitutive models are applied. First, it is the two-layer viscoplasticity model available in the finite element method (FEM)-based code ABAQUS. Second, it is the model of Chaboche implemented as a user material subroutine into another FEM-based code ANSYS and additionally into the package Mathematica. Parameters of both the models are obtained based on the available results of experimental tests carried out at different temperatures and strain rates. Utilisation of matrix models for simulation of the thermomechanical fatigue behaviour of the undamaged composite is discussed by a comparison with quasi-static tensile and high-temperature creep experimental tests.