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关于颗粒介质子区域内平均应力的研究

On average stress within sub-regions of granular media

Matthew R. Kuhn

arXiv 2609.06884首次发表:更新:

发表机构

Donald P. Shiley School of Engrg., Univ. of Portland(波特兰大学唐纳德·P·谢利工程学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究静态颗粒集合体中子区域的平均应力计算,提出在边界穿过颗粒时,对特定应力分量和子区域可精确计算,否则给出误差界限。

AI 中文摘要

本文关注于在较大的静态颗粒集合体中,允许子区域边界穿过颗粒的情况下,计算其内部小子区域的平均应力。对于某些应力分量和某些类别的子区域,计算出了精确的平均值。本文还确定了哪些子区域的选择可以精确计算应力分量,并在条件不满足时,提供了误差的合理界限。

英文摘要

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.

Journal refMechanics Research Communications, Vol. 150, 104567 (2025)

DOI:10.1016/j.mechrescom.2025.104567

论文原文

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