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arXiv:2103.00489 (physics)
[Submitted on 22 Feb 2021 (v1) , last revised 19 Mar 2021 (this version, v2)]

Title: Peridynamic stress is a weighted static Virial stress

Title: 非局部应力是加权静态维拉应力

Authors:Shaofan Li
Abstract: The peridynamic stress tensor proposed by Lehoucq and Silling (2008) is cumbersome to implement in numerical computations. In this note, we show that the peridynamic stress tensor has the mathematical expression of a weighted static Virial stress derived by Irving and Kirkwood (1950), which offers a simple and clear expression for numerical calculations of peridynamic stress tensor.
Abstract: 由Lehoucq和Silling(2008)提出的非局部应力张量在数值计算中实现起来比较繁琐。 在本文中,我们表明非局部应力张量具有Irving和Kirkwood(1950)推导出的加权静态Virial应力的数学表达式,这为非局部应力张量的数值计算提供了一个简单而清晰的表达式。
Comments: 6 pages, 1 figure
Subjects: Classical Physics (physics.class-ph) ; Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:2103.00489 [physics.class-ph]
  (or arXiv:2103.00489v2 [physics.class-ph] for this version)
  https://doi.org/10.48550/arXiv.2103.00489
arXiv-issued DOI via DataCite

Submission history

From: Shaofan Li [view email]
[v1] Mon, 22 Feb 2021 19:43:39 UTC (48 KB)
[v2] Fri, 19 Mar 2021 00:51:39 UTC (48 KB)
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