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arXiv · 2609.06884

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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Matthew R. Kuhn. 2026-09-07. On average stress within sub-regions of granular media. https://doi.org/10.1016/j.mechrescom.2025.104567

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