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PreprintCC BY 4.0arXiv

On average stress within sub-regions of granular media

  • Matthew R. Kuhn
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Abstract

The paper concerns computation of average stress within small sub-regions of a larger static granular assembly, where the sub-region's boundary is allowed to pass through the assembly's particles. An exact average is computed for certain stress components and for certain categories of sub-regions. The paper also identifies those choices of sub-regions for which exact stress components may be exactly computed, but when these conditions are not met, provides reasonable bounds on the error.

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Cite

BibTeXRIS
BibTeX
@misc{kuhn2026average,
  title = {{On average stress within sub-regions of granular media}},
  author = {Matthew R. Kuhn},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06884},
  eprint = {2609.06884},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06884},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On average stress within sub-regions of granular media
AU  - Matthew R. Kuhn
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.06884
UR  - https://arxiv.org/abs/2609.06884
AB  - The paper concerns computation of average stress within small sub-regions of a larger static granular assembly, where the sub-region's boundary is allowed to pass through the assembly's particles. An exact average is computed for certain stress components and for certain categories of sub-regions. The paper also identifies those choices of sub-regions for which exact stress components may be exactly computed, but when these conditions are not met, provides reasonable bounds on the error.
ER  -