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Mathematical Modelling of Waves in Multi-Scale Structured Media / editors, Natasha V. Movchan, Ian S. Jones.

By: Movchan, Alexander B [author.].
Contributor(s): Movchan, Natasha V [author.] | Jones, Ian S [author.] | Colquitt, Daniel J [author.].
Material type: materialTypeLabelBookSeries: Chapman & Hall/CRC Monographs and Research Notes in Mathematics.Publisher: Boca Raton, FL : CRC Press, 2017Edition: First edition.Description: 1 online resource : text file, PDF.Content type: text Media type: computer Carrier type: online resourceISBN: 1498782108; 9781498782104.Subject(s): Waves -- Mathematical models | Water waves -- Mathematical models | Elastic waves -- Mathematical models | Elastic wave propagation -- Mathematical models | Elastic waves -- Diffraction | Fluid mechanicsDDC classification: 531/.1133015118 Online resources: Taylor & Francis Distributed by publisher. Purchase or institutional license may be required for access. | Taylor & Francis Click here to view. | OCLC metadata license agreement
Contents:
""Cover ""; ""Half title ""; ""Published Titles""; ""Title ""; ""Copyright ""; ""Contents""; ""Preface ""; ""Chapter 1 Introduction""; ""1.1 Blochâ#x80;#x93;Floquet waves ""; ""1.2 Structured interfaces and localisation ""; ""1.3 Multi-physics problems and phononic crystal structures ""; ""1.4 Designer multi-scale materials ""
""1.5 Dynamic anisotropy and defects in lattice systems """"1.6 Models and physical applications in materials science ""; ""1.7 Structure of the book ""; ""Chapter 2 Foundations, methods of analysis of waves and analytical approaches to modelling of multi-scale solids""; ""2.1 Wave dispersion ""; ""2.2 Blochâ#x80;#x93;Floquet waves ""
""2.3 Asymptotic lattice approximations """"2.4 Transmission and reflection ""; ""2.5 Wave localisation and dynamic defect modes ""; ""2.6 Dynamic localisation in a biatomic discrete chain ""; ""2.7 Asymptotic homogenisation ""; ""Chapter 3 Waves in structured media with thin ligaments and disintegrating junctions""
""3.1 Structures with undamaged multi-scale resonators """"3.2 Singular perturbation analysis of fields in solids with disintegrating junctions ""; ""3.3 Structures with damaged multi-scale resonators ""; ""Chapter 4 Dynamic response of elastic lattices and discretised elastic membranes""
""4.1 Stop-band dynamic Greenâ#x80;#x99;s functions and exponential localisation """"4.2 Dynamic anisotropy and localisation near defects ""; ""4.3 Localisation near cracks/inclusions in a lattice ""; ""Chapter 5 Cloaking and channelling of elastic waves in structured solids""; ""5.1 A cloak is not a shield ""
Scope and content: "The book presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic and phononic/platonic crystals. Can we bend a wave? How to avoid rattle and shake in a building or a long bridge? Can a dinner table act as an earthquake protection resonator? (It would not work as a dinner table though on that occasion.) Cloaking - what is it? These and many other fascinating questions may attract a potential reader to this book."--Provided by publisher.
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""Cover ""; ""Half title ""; ""Published Titles""; ""Title ""; ""Copyright ""; ""Contents""; ""Preface ""; ""Chapter 1 Introduction""; ""1.1 Blochâ#x80;#x93;Floquet waves ""; ""1.2 Structured interfaces and localisation ""; ""1.3 Multi-physics problems and phononic crystal structures ""; ""1.4 Designer multi-scale materials ""

""1.5 Dynamic anisotropy and defects in lattice systems """"1.6 Models and physical applications in materials science ""; ""1.7 Structure of the book ""; ""Chapter 2 Foundations, methods of analysis of waves and analytical approaches to modelling of multi-scale solids""; ""2.1 Wave dispersion ""; ""2.2 Blochâ#x80;#x93;Floquet waves ""

""2.3 Asymptotic lattice approximations """"2.4 Transmission and reflection ""; ""2.5 Wave localisation and dynamic defect modes ""; ""2.6 Dynamic localisation in a biatomic discrete chain ""; ""2.7 Asymptotic homogenisation ""; ""Chapter 3 Waves in structured media with thin ligaments and disintegrating junctions""

""3.1 Structures with undamaged multi-scale resonators """"3.2 Singular perturbation analysis of fields in solids with disintegrating junctions ""; ""3.3 Structures with damaged multi-scale resonators ""; ""Chapter 4 Dynamic response of elastic lattices and discretised elastic membranes""

""4.1 Stop-band dynamic Greenâ#x80;#x99;s functions and exponential localisation """"4.2 Dynamic anisotropy and localisation near defects ""; ""4.3 Localisation near cracks/inclusions in a lattice ""; ""Chapter 5 Cloaking and channelling of elastic waves in structured solids""; ""5.1 A cloak is not a shield ""

"The book presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic and phononic/platonic crystals. Can we bend a wave? How to avoid rattle and shake in a building or a long bridge? Can a dinner table act as an earthquake protection resonator? (It would not work as a dinner table though on that occasion.) Cloaking - what is it? These and many other fascinating questions may attract a potential reader to this book."--Provided by publisher.

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