Focusing on isotropic elastic networks we propose a novel simple-average expression G(t)=μA−h(t) for the computational determination of the shear-stress relaxation modulus G(t) of a classical elastic solid or fluid and its equilibrium modulus \Geq=limt→∞G(t). Here, μA=G(0) characterizes the shear transformation of the system at t=0 and h(t) the (rescaled) mean-square displacement of the instantaneous shear stress τ^(t) as a function of time t. While investigating sampling time effects we also discuss the related expressions in terms of shear-stress autocorrelation functions. We argue finally that our key relation may be readily adapted for more general linear response functions.
Cite
@article{arxiv.1510.01475,
title = {Simple-average expressions for shear-stress relaxation modulus},
author = {J. P. Wittmer and H. Xu and J. Baschnagel},
journal= {arXiv preprint arXiv:1510.01475},
year = {2016}
}