Abstract

We develop a method to compute the local yield stresses at the atomic scale in model two-dimensional Lennard-Jones glasses produced via differing quench protocols. This technique allows us to efficiently sample the local plastic rearrangements thresholds, in a non-perturbative manner, for different loading directions, and on well-controlled length scales. The plastic rearrangement locations upon shearing the system strongly correlate with the soft zones of the quenched states [1]. In stable glasses, the most relevant from an experimental point of view, the local yield stress is found to be one of the best structural indicators to predict plastic activity in athermal amorphous solids [2]. We show that this local yield stress method is highly helpful to capture the barrier dependencies to glass preparation [1,2], shear banding [3], and plastically induced anisotropy [4]. It is, therefore, an ideal tool for documenting what happens “inside” an amorphous solid and better characterize the relationship between structure and plasticity. From a practical point of view, it makes it possible to envision a more quantitative multi-scale modeling strategy [5]. Local yield stress maps. The first plastic event locations are shown as open symbols numbered by order of appearance during remote shear loading. Plastic events clearly tend to occur in regions characterized by low yield stresses.

References:

[1] A. Barbot, M. Lerbinger, A. Hernandez-Garcia, R. García-García, M. L. Falk, D. Vandembroucq and S. Patinet, Local yield stress statistics in model amorphous solids, Phys. Rev. E 97 , 033001 (2018).

[2] D. Richard, M. Ozawa, S. Patinet, E. Stanifer, B. Shang, S. A. Ridout, B. Xu, G. Zhang, P. K. Morse, J.-L. Barrat, L. Berthier, M. L. Falk, P. Guan, A. J. Liu, K. Martens, S. Sastry, D. Vandembroucq, E. Lerner, M. L. Manning, Predicting plasticity in disordered solids from structural indicators, Physical Review Materials 4, 113609 (2020)

[3] A. Barbot, M. Lerbinger, A. Lemaître, D. Vandembroucq, S. Patinet, Rejuvenation and Shear-Banding in model amorphous solids, Phys. Rev. E 101 , 033001 (2020)

[4] S. Patinet, A. Barbot, M. Lerbinger, D. Vandembroucq, A. Lemaître, On the Origin of the Bauschinger Effect in Amorphous Solids, Accepted in Phys. Rev. Lett. 124, 205503 (2020)

[5] D. Fernández Castellanos, S. Roux, S. Patinet, Insights from the quantitative calibration of an elasto-plastic model from a Lennard-Jones atomic glass, Comptes Rendus Physique, Académie des sciences (2021)