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Title: Solitary waves in a peridynamic elastic solid

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.
Authors:
 [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiscale Science Dept.
Publication Date:
Report Number(s):
SAND-2016-3969
Journal ID: ISSN 0022-5096; PII: S0022509616302903; TRN: US1701821
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 96; Journal Issue: C; Journal ID: ISSN 0022-5096
Publisher:
Elsevier
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; solitary waves; peridynamic; nonlocal; elasticity
OSTI Identifier:
1338677
Alternate Identifier(s):
OSTI ID: 1397714

Silling, Stewart A. Solitary waves in a peridynamic elastic solid. United States: N. p., Web. doi:10.1016/j.jmps.2016.06.001.
Silling, Stewart A. Solitary waves in a peridynamic elastic solid. United States. doi:10.1016/j.jmps.2016.06.001.
Silling, Stewart A. 2016. "Solitary waves in a peridynamic elastic solid". United States. doi:10.1016/j.jmps.2016.06.001. https://www.osti.gov/servlets/purl/1338677.
@article{osti_1338677,
title = {Solitary waves in a peridynamic elastic solid},
author = {Silling, Stewart A.},
abstractNote = {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.},
doi = {10.1016/j.jmps.2016.06.001},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 96,
place = {United States},
year = {2016},
month = {6}
}