Quantifying the Features of an Amorphous Solid's Local Yield Surface

Abstract

In continuum mechanics, a yield surface defines the boundary in stress space between elastic response and the onset of plastic flow. In two-dimensional Lennard-Jones model glasses, we construct local analogues of this surface and show that their angular dependence is dominated by regions with a positive second derivative of the yield stress with respect to the loading angle. Most of these regions are associated with characteristic non-affine rearrangements and are well described by a combined Schmid-Mohr-Coulomb criterion parameterized by a weak-plane orientation, an intrinsic critical stress, and a pressure sensitivity. The resulting parameter statistics characterize how the population of discrete yielding features encoded in the amorphous structure varies with the preparation protocol.

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BibTeX RIS

BibTeX

@article{fajardo2026quantifying,
  title = {{Quantifying the Features of an Amorphous Solid's Local Yield Surface}},
  author = {Spencer Fajardo and Paul Desmarchelier and Sylvain Patinet and Michael L Falk},
  journal = {Physical Review Materials},
  year = {2026},
  month = sep,
  doi = {10.1103/8hjk-cpl1},
  url = {https://hal.science/hal-05765267v1},
  note = {CC BY 4.0},
}

RIS

TY  - JOUR
TI  - Quantifying the Features of an Amorphous Solid's Local Yield Surface
AU  - Spencer Fajardo
AU  - Paul Desmarchelier
AU  - Sylvain Patinet
AU  - Michael L Falk
PY  - 2026
DA  - 2026/09/25
JO  - Physical Review Materials
DO  - 10.1103/8hjk-cpl1
UR  - https://hal.science/hal-05765267v1
AB  - In continuum mechanics, a yield surface defines the boundary in stress space between elastic response and the onset of plastic flow. In two-dimensional Lennard-Jones model glasses, we construct local analogues of this surface and show that their angular dependence is dominated by regions with a positive second derivative of the yield stress with respect to the loading angle. Most of these regions are associated with characteristic non-affine rearrangements and are well described by a combined Schmid-Mohr-Coulomb criterion parameterized by a weak-plane orientation, an intrinsic critical stress, and a pressure sensitivity. The resulting parameter statistics characterize how the population of discrete yielding features encoded in the amorphous structure varies with the preparation protocol.
SN  - 2475-9953
ER  -

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