Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2015

Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions

Résumé

We revisit the relation between the shear-stress relaxation modulus G(t), computed at finite shear strain 0 < gamma << 1, and the shear-stress autocorrelation functions C(t)vertical bar(gamma) and C(t)vertical bar(tau) computed, respectively, at imposed strain gamma and mean stress tau. Focusing on permanent isotropic spring networks it is shown theoretically and computationally that in general G(t) = C(t)vertical bar(tau) = C(t)vertical bar(gamma) + G(eq) for t > 0 with G(eq) being the static equilibrium shear modulus. G(t) and C(t)vertical bar(gamma) thus must become different for solids and it is impossible to obtain G(eq) alone from C(t)vertical bar(gamma) as often assumed. We comment briefly on self-assembled transient networks where G(eq)(f) must vanish for a finite scission-recombination frequency f. We argue that G(t) = C(t)vertical bar(tau) = C(t)vertical bar(gamma) should reveal an intermediate plateau set by the shear modulus G(eq)(f = 0) of the quenched network.
Fichier principal
Vignette du fichier
PhysRevE.91.022107.pdf (758.42 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01515835 , version 1 (11-05-2017)

Identifiants

Citer

J. P. Wittmer, Hong Xu, J. Baschnagel. Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2015, 91 (2), pp.022107. ⟨10.1103/PhysRevE.91.022107⟩. ⟨hal-01515835⟩
96 Consultations
350 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More