The Method of Harmonic Balance for the Giesekus Model under Oscillatory Shear

Abstract

HB transforms a system of ordinary differential equations describing a dynamical system subjected to periodic perturbations into a set of nonlinear algebraic equations in frequency space.• For the Giesekus model under large amplitude oscillatory shear, we find that harmonic balance is orders of magnitude cheaper and more accurate than the conventional method of using numerical integration to solve differential constitutive equations.