Peridynamic stress is a weighted static Virial stress

2021/02/22 by Shaofan Li, Li, Shaofan
Engineering · #Numerical methods in engineering #Geotechnical Engineering and Underground Structures #Fire effects on concrete materials

paper · pdf · doi:10.48550/arxiv.2103.00489

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.

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