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Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Waves with Power-Law Attenuation (Hardcover, 1st ed. 2019)
Loot Price: R4,761
Discovery Miles 47 610
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Waves with Power-Law Attenuation (Hardcover, 1st ed. 2019)
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This book integrates concepts from physical acoustics with those
from linear viscoelasticity and fractional linear viscoelasticity.
Compressional waves and shear waves in applications such as medical
ultrasound, elastography, and sediment acoustics often follow power
law attenuation and dispersion laws that cannot be described with
classical viscous and relaxation models. This is accompanied by
temporal power laws rather than the temporal exponential responses
of classical models. The book starts by reformulating the classical
models of acoustics in terms of standard models from linear
elasticity. Then, non-classical loss models that follow power laws
and which are expressed via convolution models and fractional
derivatives are covered in depth. In addition, parallels are drawn
to electromagnetic waves in complex dielectric media. The book also
contains historical vignettes and important side notes about the
validity of central questions. While addressed primarily to
physicists and engineers working in the field of acoustics, this
expert monograph will also be of interest to mathematicians,
mathematical physicists, and geophysicists.
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