Solitary waves in a peridynamic elastic solid

Silling, Stewart A.

doi:10.1016/j.jmps.2016.06.001

Solitary waves in a peridynamic elastic solid

Journal Article · Thu Jun 23 00:00:00 EDT 2016 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2016.06.001· OSTI ID:1338677

Silling, Stewart A. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiscale Science Dept.

The propagation of large amplitude nonlinear waves in a peridynamic solid is ana- lyzed. With an elastic material model that hardens in compression, sufficiently large wave pulses propagate as solitary waves whose velocity can far exceed the linear wave speed. In spite of their large velocity and amplitude, these waves leave the material they pass through with no net change in velocity and stress. They are nondissipative and nondispersive, and they travel unchanged over large distances. An approximate solution for solitary waves is derived that reproduces the main features of these waves observed in computational simulations. We demonstrate, by numerical studies, that waves interact only weakly with each other when they collide. Finally, we found that wavetrains composed of many non-interacting solitary waves form and propagate under certain boundary and initial conditions.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1338677

Alternate ID(s):: OSTI ID: 1397714

Report Number(s):: SAND--2016-3969; PII: S0022509616302903

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 96; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (2)

Wave Dispersion and Propagation in Linear Peridynamic Media Zhang, Xiaolong; Xu, Zhenying; Yang, Qing Shock and Vibration, Vol. 2019 https://doi.org/10.1155/2019/9528978	journal	June 2019
Peridynamics review Javili, Ali; Morasata, Rico; Oterkus, Erkan Mathematics and Mechanics of Solids, Vol. 24, Issue 11 https://doi.org/10.1177/1081286518803411	journal	October 2018

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Related Subjects

36 MATERIALS SCIENCE
elasticity
nonlocal
peridynamic
solitary waves

Solitary waves in a peridynamic elastic solid

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