SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 6: Statistical Physics: General I
DY 6.2: Vortrag
Montag, 27. März 2023, 10:15–10:30, ZEU 160
Mean-field brittle yielding of amorphous solids — •Jack T. Parley1 and Peter Sollich1,2 — 1Institut für Theoretische Physik, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany — 2Department of Mathematics, King's College London, London WC2R 2LS, UK
We study the brittle yielding of athermal amorphous solids within the celebrated Hébraud-Lequeux mean-field elastoplastic model, which incorporates the sign-varying nature of Eshelby interactions as a Gaussian mechanical noise. As in finite-dimensional particle simulations, we find a critical value of the initial disorder, below which yielding in the limit of quasistatic shear becomes a discontinuous non-equilibrium transition. At small but finite shear rates, we show that the tail exponents characterising the decay of the plastic yield rate function on either side of its peak at the transition are related to the athermal aging exponents. We finally derive analytically the scaling with shear rate of the peak susceptibility at the random critical point, and discuss the connection to avalanches in finite-size systems.