English

The emergence of Airy stress function in two-dimensional disordered packings of particles

Soft Condensed Matter 2023-06-07 v1 Statistical Mechanics

Abstract

The packing of hard-core particles in contact with their neighbors offers the statically determinate problem which allows analytical investigation of the stress tensor distribution. We construct the stress probability functional and derive the complete set of equations for the tensor components in two-dimensions.

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Cite

@article{arxiv.2302.03030,
  title  = {The emergence of Airy stress function in two-dimensional disordered packings of particles},
  author = {Dmitry Grinev},
  journal= {arXiv preprint arXiv:2302.03030},
  year   = {2023}
}

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7 pages