Investigations on different Fischer‐Burmeister functions applied to the modelling of ferroelectrics

Abstract

Different selected approaches of Fischer-Burmeister (FB) nonlinear complementarity problem (NCP) functions are investigated towards the local convergence properties and the possible parameter influences. The Fischer-Burmeister functions are applied to a micromechanically motivated material model for ferroelectric materials. The particular model employed is a laminate-based modelling approach to simulate the single-and polycrystalline tetragonal ferroelectric material behaviour. In this model, the occurring variant fractions are characterised via laminate fractions with additional inequality constraints. To solve the complementarity conditions of these internal variables, the FB approach provides a very efficient scheme compared to common solution schemes as, e.g. active-set strategies.