Shear-strain and shear-stress fluctuations in generalized Gaussian ensemble simulations of isotropic elastic networks - Université de Lorraine Accéder directement au contenu
Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 2015

Shear-strain and shear-stress fluctuations in generalized Gaussian ensemble simulations of isotropic elastic networks

Résumé

Shear-strain and shear-stress correlations in isotropic elastic bodies are investigated both theoretically and numerically at either imposed mean shear-stress tau (lambda - 0) or shear-strain gamma (lambda - 1) and for more general values of a dimensionless parameter. characterizing the generalized Gaussian ensemble. It allows to tune the strain fluctuations mu(gamma gamma) beta V = (1 - lambda)/G(eq) with beta being the inverse temperature, V the volume, gamma the instantaneous strain and G(eq) the equilibrium shear modulus. Focusing on spring networks in two dimensions we show, e.g., for the stress fluctuations mu(tau tau) beta V (tau being the instantaneous stress) that mu(tau tau)|(lambda) = mu A - lambda G(eq) with mu A = mu(tau tau)vertical bar(lambda= 0) being the affine shear-elasticity. For the stress autocorrelation function C-tau tau(t) beta V this result is then seen (assuming a sufficiently slow shear-stress barostat) to generalize to C-tau tau(t)|(lambda) = G(t) - lambda G(eq) with G(t) = C-tau tau(t)|(lambda= 0) being the shear-stress relaxation modulus.

Mots clés

Dates et versions

hal-01515450 , version 1 (27-04-2017)

Identifiants

Citer

Joachim Paul Wittmer, Ivan Kriuchevskyi, Joerg Baschnagel, Hong Xu. Shear-strain and shear-stress fluctuations in generalized Gaussian ensemble simulations of isotropic elastic networks. The European Physical Journal B: Condensed Matter and Complex Systems, 2015, 88 (9), pp.242. ⟨10.1140/epjb/e2015-60506-6⟩. ⟨hal-01515450⟩
77 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More