Autor(en)
Norris, Andrew N
Titel
An inequality for longitudinal and transverse wave attenuation coefficients
Teil von
  • The Journal of the Acoustical Society of America, 2017-01, Vol.141 (1), p.475-479
Ort / Verlag
MELVILLE: ACOUSTICAL SOC AMER AMER INST PHYSICS
Links zum Volltext
Quelle
Web of Science
Beschreibungen
Total absorption, defined as the net flux of energy out of a bounded region averaged over one cycle for time harmonic motion, must be non-negative when there are no sources of energy within the region. This passivity condition places constraints on the non-dimensional absorption coefficients of longitudinal and transverse waves, γL and γT , in isotropic linearly viscoelastic materials. Typically, γL , γT are small, in which case the constraints imply that coefficients of attenuation per unit length, αL , αT , must satisfy the inequality α L / α T ≥ 4 c T 3 / 3 c L 3 where cL , cT are the wave speeds. This inequality, which as far as the author is aware, has not been presented before, provides a relative bound on wave speed in terms of attenuation, or vice versa. It also serves as a check on the consistency of ultrasonic measurements from the literature, with most but not all of the data considered passing the positive absorption test.
Format
Sprache(n)
Englisch
Identifikator(en)
ISSN: 0001-4966
ISSN: 1520-8524
DOI: 10.1121/1.4974152
Links zum Inhalt
Schlagwörter
Acoustics, Audiology & Speech-Language Pathology, Life Sciences & Biomedicine, Science & Technology, Technology
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