The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
A model for longitudinal and shear wave propagation in viscoelastic media
Abstract
Relaxation models fail to predict and explain loss characteristics of many viscoelastic materials which follow a frequency power law. A model based on a time-domain statement of causality is presented that describes observed power-law behavior of many viscoelastic materials. A Hooke’s law is derived from power-law loss characteristics; it reduces to the Hooke’s law for the Voigt model for the specific case of quadratic frequency loss. Broadband loss and velocity data for both longitudinal and shear elastic types of waves agree well with predictions. These acoustic loss models are compared to theories for loss mechanisms in dielectrics based on isolated polar molecules and cooperative interactions.
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Cites
The ‘universal’ dielectric response
Jonscher, A. K. (1977) · Nature · doi:10.1038/267673a0 · Cited by 5,618
Kramers–Kronig relationship between ultrasonic attenuation and phase velocity
O’Donnell, M., Jaynes, E. T., & Miller, J. G. (1981) · The Journal of the Acoustical Society of America · doi:10.1121/1.385566 · Cited by 508
Time domain wave equations for lossy media obeying a frequency power law
Szabo, T. L. (1994) · The Journal of the Acoustical Society of America · doi:10.1121/1.410434 · Cited by 420
Self-citationUltrasonic absorption and attenuation in mammalian tissues
Goss, S. A., Frizzell, L. A., & Dunn, F. (1979) · Ultrasound in Medicine & Biology · doi:10.1016/0301-5629(79)90086-3 · Cited by 313
Causal theories and data for acoustic attenuation obeying a frequency power law
Szabo, T. L. (1995) · The Journal of the Acoustical Society of America · doi:10.1121/1.412332 · Cited by 243
Self-citationThe dielectric behaviour of condensed matter and its many-body interpretation
Hill, R. M., & Jonscher, A. K. (1983) · Contemporary Physics · doi:10.1080/00107518308227472 · Cited by 177
Cited by
Wang, B., Yang, W., McKittrick, J., & Meyers, M. A. (2016) · Progress in Materials Science · doi:10.1016/j.pmatsci.2015.06.001 · Cited by 873
Attenuation, scattering, and absorption of ultrasound in the skull bone
Pinton, G., Aubry, J.-F., Bossy, E., Muller, M., Pernot, M., & Tanter, M. (2011) · Medical Physics · doi:10.1118/1.3668316 · Cited by 405
Liu, Y., Norton, J. J. S., Qazi, R., Zou, Z., Ammann, K. R., Liu, H., Yan, L., Tran, P. L., Jang, K.-I., Lee, J. W., et al. (2016) · Science Advances · doi:10.1126/sciadv.1601185 · Cited by 397
Sinkus, R., Siegmann, K., Xydeas, T., Tanter, M., Claussen, C., & Fink, M. (2007) · Magnetic Resonance in Medicine · doi:10.1002/mrm.21404 · Cited by 332
Ultrasound-responsive systems as components for smart materials
Athanassiadis, A. G., Ma, Z., Moreno-Gomez, N., Melde, K., Choi, E., Goyal, R., & Fischer, P. (2022) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00622 · Cited by 293
Metadata
- Authors
- Szabo, T. L., & Wu, J.
- Venue
- The Journal of the Acoustical Society of America
- Publisher
- Acoustical Society of America (ASA)
- Published
- 2000-05-01
- Volume
- 107
- Issue
- 5
- Pages
- 2437-2446
- ISSN
- 0001-4966 (ISSN-L)
- 1520-8524
- OpenAlex
- W2007741209
- Cited by
- 274
- References
- 6
- FWCI
- 5.28
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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