Time-dependent elastic response to a local shear transformation in amorphous solids.
The elastic response of a two-dimensional amorphous solid to induced local shear transformations, which mimic the elementary plastic events occurring in deformed glasses, is investigated via molecular-dynamics simulations. We show that for different spatial realizations of the transformation, despite relative fluctuations of order one, the long-time equilibrium response averages out to the prediction of the Eshelby inclusion problem for a continuum elastic medium. We characterize the effects of the underlying dynamics on the propagation of the elastic signal. A crossover from a propagative transmission in the case of weakly damped dynamics to a diffusive transmission for strong damping is evidenced. In the latter case, the full time-dependent elastic response is in agreement with the theoretical prediction, obtained by solving the diffusion equation for the displacement field in an elastic medium.
Université Grenoble 1/CNRS, LIPhy UMR 5588, Grenoble F-38041, France.
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F
Puosi
Department of Physics and Astronomy, The University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia, Canada V6T 1Z4.
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J
Rottler
Université Grenoble 1/CNRS, LIPhy UMR 5588, Grenoble F-38041, France and Institut Laue-Langevin, 6 rue Jules Horowitz, BP 156, F-38042 Grenoble, France.
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JL
Barrat