Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Attenuation of waves in a viscoelastic peridynamic medium

Journal Article · · Mathematics and Mechanics of Solids
 [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
+ Show Author Affiliations

The effect of spatial nonlocality on the decay of waves in a dissipative material is investigated. The propagation and decay of waves in a one-dimensional, viscoelastic peridynamic medium is analyzed. Both the elastic and damping terms in the material model are nonlocal. Waves produced by a source with constant amplitude applied at one end of a semi-infinite bar decay exponentially with distance from the source. The model predicts a cutoff frequency that is influenced by the nonlocal parameters. A method for computing the attenuation coefficient explicitly as a function of material properties and source frequency is presented. Here, the theoretical results are compared with direct numerical simulations in the time domain. The relationship between the attenuation coefficient and the group velocity is derived. It is shown that in the limit of long waves (or small peridynamic horizon), Stokes’ law of sound attenuation is recovered.

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:
1769939
Report Number(s):
SAND--2021-2246J; 694177
Journal Information:
Mathematics and Mechanics of Solids, Journal Name: Mathematics and Mechanics of Solids Journal Issue: 11 Vol. 24; ISSN 1081-2865
Publisher:
SAGECopyright Statement
Country of Publication:
United States
Language:
English

References (16)

Linearized Theory of Peridynamic States journal January 2010
On the non-local aspects of stress in a viscoelastic medium∗ journal January 1986
Peridynamic Theory of Solid Mechanics book September 2010
A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams journal March 2016
Wave propagation in fluid-conveying viscoelastic carbon nanotubes based on nonlocal strain gradient theory journal February 2016
A meshfree method based on the peridynamic model of solid mechanics journal June 2005
Modeling shockwaves and impact phenomena with Eulerian peridynamics journal September 2017
Force flux and the peridynamic stress tensor journal April 2008
Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory journal January 2016
Viscoelastic wave propagation in the viscoelastic single walled carbon nanotubes based on nonlocal strain gradient theory journal October 2016
Deformation of a Peridynamic Bar journal December 2003
Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory journal August 2006
Wave propagation simulation in a linear viscoelastic medium journal December 1988
The wave equation with viscoelastic attenuation and its application in problems of shallow-sea acoustics journal November 2012
Determination of Nonlocal Constitutive Equations from Phonon Dispersion Relations journal January 2011
Seismic Wave Attenuation: Energy Dissipation in Viscoelastic Crystalline Solids journal January 2002

Similar Records

Attenuation of waves in a visoelastic peridynamic medium
Technical Report · Thu Nov 01 00:00:00 EDT 2018 · OSTI ID:1760410
Lamb's problem for a linear viscoelastic medium
Technical Report · Sun Jan 31 23:00:00 EST 1988 · OSTI ID:7125241
Variable horizon in a peridynamic medium.
Technical Report · Wed Oct 01 00:00:00 EDT 2014 · OSTI ID:1163092

Related Subjects

97 MATHEMATICS AND COMPUTING
Peridynamic
attenuation
viscoelastic
wave