Attenuation of waves in a visoelastic peridynamic medium

Technical Report · Thu Nov 01 00:00:00 EDT 2018

DOI:https://doi.org/10.2172/1760410· OSTI ID:1760410

Silling, Stewart A. ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

The propagation and decay of waves in a nonlocal, one-dimensional, viscoelastic medium is analyzed. Waves emanating from a source with constant amplitude applied at one end of a semi-infinite bar decay exponentially with distance from the source. A method for computing the attenuation coefficient explicitly as a function of material properties and source frequency is presented. The results are compared with direct numerical simulations. The relationship between the attenuation coefficient and the group velocity is investigated. 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 Lab. (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
• DOE Contract Number: AC04-94AL85000; NA0003525
• OSTI ID: 1760410
• Report Number(s): SAND-2018-13198; 670091
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE