skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Solitary waves and phase boundaries in peridynamics.


Abstract not provided.

Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
Report Number(s):
DOE Contract Number:
Resource Type:
Resource Relation:
Conference: Proposed for presentation at the 2016 SIAM Conference on Nonlinear Waves and Coherent Structures held August 8-11, 2016 in Philadelphia, PA.
Country of Publication:
United States

Citation Formats

Silling, Stewart A. Solitary waves and phase boundaries in peridynamics.. United States: N. p., 2016. Web.
Silling, Stewart A. Solitary waves and phase boundaries in peridynamics.. United States.
Silling, Stewart A. 2016. "Solitary waves and phase boundaries in peridynamics.". United States. doi:.
title = {Solitary waves and phase boundaries in peridynamics.},
author = {Silling, Stewart A.},
abstractNote = {Abstract not provided.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 8

Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:
  • A family of solitary waves is found which satisfy the coupled nonlinear Schroedinger equations governing optical pulse propagation in an elliptical core optical fiber. These are polarization modulated pulses which are bound states of two solitons which when decoupled have constant and uniform orthogonal linear polarizations. The information of these bound states is possible only above a minimum energy threshold determined by the ellipticity of the fiber. 6 refs., 4 figs.
  • This paper addresses a numerical investigation of solitary waves interactions with an array of multiple surface-piercing vertical cylinders and the corresponding nonlinear hydrodynamic loads on each individual cylinder. The theoretical model adopted for simulation is the generalized Boussinesq two-equation model. The boundary-fitted coordinate transformation and multiple-grid technique are utilized here to simplify the computational domain and to facilitate the applications of the boundary conditions on the cylinder surfaces. The scattered wave field and the hydrodynamic forces on each cylinder during wave impact are numerically evaluated. Study of sheltering effect by the neighboring structures on wave loads is conducted. It ismore » found that the presence of the neighboring cylinders has shown significantly influence on the wave loads and the scattering of the primary incident waves. For a tandem two cylinders, the shielding effect plays an important role to reduce the force acting on the rear cylinder. For transversely arranged two cylinders, the in-line force distribution is mostly independent of the gap distance between cylinders. However, the transverse force coefficient increases as the separation distance decreases.« less
  • Since space charge waves on a particle beam exhibit both dispersive and nonlinear character, solitary waves or solitons are possible. Dispersive, nonlinear wave propagation in high current beams is found to be similar to ion-acoustic waves in plasmas with an analogy between Debye screening and beam pipe shielding. Exact longitudinal solitary wave propagation is found for potentials associated with certain transverse distributions which fill the beam pipe. For weak dispersion, the waves satisfy the Korteweg-deVries (KdV) equation, but for strong dispersion they exhibit breaking. More physically realizable distributions which do not fill the beam pipe are investigated and shown tomore » also satisfy a KdV equation for weak dispersion if averaging over rapid transverse motion is physically justified. Scaling laws are presented to explore likely parameter regimes where these phenomena may be observed experimentally.« less