skip to content
Waves with Power-Law Attenuation Preview this item
ClosePreview this item
Checking...

Waves with Power-Law Attenuation

Author: Sverre Holm
Publisher: Cham, Switzeland : Springer, [2019]
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Holm, Sverre.
Waves with Power-Law Attenuation.
Cham : Springer, ©2019
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sverre Holm
ISBN: 9783030149277 3030149277 9783030149284 3030149285 9783030149291 3030149293
OCLC Number: 1099326600
Description: 1 online resource (336 pages)
Contents: Preface --
Acknowledgements --
About the Author --
List of Symbols --
List of Figures --
List of Tables --
1 Introduction --
Part I Acoustics and Linear Viscoelasticity --
2 Classical Wave Equations --
3 Models of Linear Viscoelasticity --
4 Absorption Mechanisms and Physical Constraints --
Part II Modeling of Power-Law Media --
5 Power-Law Wave Equations from Constitutive Equations --
6 Phenomenological Power-Law Wave Equations --
7 Justification for Power Laws and Fractional Models --
8 Power Laws and Porous Media --
9 Power Laws and Fractal Scattering Media --
Appendix A Mathematical Background --
Appendix B Wave and Heat Equations --
Index.
Responsibility: Sverre Holm.

Abstract:

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  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1099326600> # Waves with Power-Law Attenuation
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
    library:oclcnum "1099326600" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    schema:about <http://dewey.info/class/534.2/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/9076035118#Topic/sound_waves_attenuation> ; # Sound-waves--Attenuation
    schema:author <http://experiment.worldcat.org/entity/work/data/9076035118#Person/holm_sverre> ; # Sverre Holm
    schema:bookFormat schema:EBook ;
    schema:datePublished "2019" ;
    schema:description "Preface -- Acknowledgements -- About the Author -- List of Symbols -- List of Figures -- List of Tables -- 1 Introduction -- Part I Acoustics and Linear Viscoelasticity -- 2 Classical Wave Equations -- 3 Models of Linear Viscoelasticity -- 4 Absorption Mechanisms and Physical Constraints -- Part II Modeling of Power-Law Media -- 5 Power-Law Wave Equations from Constitutive Equations -- 6 Phenomenological Power-Law Wave Equations -- 7 Justification for Power Laws and Fractional Models -- 8 Power Laws and Porous Media -- 9 Power Laws and Fractal Scattering Media -- Appendix A Mathematical Background -- Appendix B Wave and Heat Equations -- Index."@en ;
    schema:description "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. Couples fractional derivatives and power laws and gives their multiple relaxation process interpretation Investigates causes of power law attenuation and dispersion such as interaction with hierarchical models of polymer chains and non-Newtonian viscosity Shows how fractional and multiple relaxation models are inherent in the grain shearing and extended Biot descriptions of sediment acoustics Contains historical vignettes and side notes about the formulation of some of the concepts discussed."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/9076035118> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/9076035118#CreativeWork/waves_with_power_law_attenuation> ;
    schema:name "Waves with Power-Law Attenuation"@en ;
    schema:productID "1099326600" ;
    schema:url <http://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9783030149277> ;
    schema:url <https://doi.org/10.1007/978-3-030-14927-7> ;
    schema:url <https://link.springer.com/10.1007/978-3-030-14927-7> ;
    schema:url <http://ezsecureaccess.balamand.edu.lb/login?url=https://doi.org/10.1007/978-3-030-14927-7> ;
    schema:url <https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5754969> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-030-14927-7> ;
    schema:workExample <http://worldcat.org/isbn/9783030149291> ;
    schema:workExample <http://worldcat.org/isbn/9783030149277> ;
    schema:workExample <http://worldcat.org/isbn/9783030149284> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBB986554> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1099326600> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/9076035118#Person/holm_sverre> # Sverre Holm
    a schema:Person ;
    schema:familyName "Holm" ;
    schema:givenName "Sverre" ;
    schema:name "Sverre Holm" ;
    .

<http://experiment.worldcat.org/entity/work/data/9076035118#Topic/sound_waves_attenuation> # Sound-waves--Attenuation
    a schema:Intangible ;
    schema:name "Sound-waves--Attenuation"@en ;
    .

<http://worldcat.org/entity/work/data/9076035118#CreativeWork/waves_with_power_law_attenuation>
    a schema:CreativeWork ;
    rdfs:label "Waves with Power-Law Attenuation." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1099326600> ; # Waves with Power-Law Attenuation
    .

<http://worldcat.org/isbn/9783030149277>
    a schema:ProductModel ;
    schema:isbn "3030149277" ;
    schema:isbn "9783030149277" ;
    .

<http://worldcat.org/isbn/9783030149284>
    a schema:ProductModel ;
    schema:isbn "3030149285" ;
    schema:isbn "9783030149284" ;
    .

<http://worldcat.org/isbn/9783030149291>
    a schema:ProductModel ;
    schema:isbn "3030149293" ;
    schema:isbn "9783030149291" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.