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Static and dynamic analysis of periodic lattice structures with applications to acoustic cloaks of the pentamode type
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Nagy, Adam Julius. Static and dynamic analysis of periodic lattice structures with applications to acoustic cloaks of the pentamode type. Retrieved from https://doi.org/doi:10.7282/T3FJ2JM3

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TitleStatic and dynamic analysis of periodic lattice structures with applications to acoustic cloaks of the pentamode type
NameNagy, Adam Julius (author); Norris, Andrew N (chair); Bottega, William J (internal member); Guo, Zhixiong (internal member); Rosato, Anthony D (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2015
Other Date2015-05 (degree)
SubjectMechanical and Aerospace Engineering, Acoustical engineering, Dispersion
Extent1 online resource (xx, 200 p. : ill.)
DescriptionAs a first step towards producing pentamode acoustic cloaks, so named for the type of elasticity required, periodic lattice structured materials are designed that mimic the acoustic properties of water. This material is termed Metal Water and is analyzed in detail. The requirements considered are matching of density and wave speed, this produces a type of metamaterial that couples acoustic wave energy from a background fluid into an elastic medium without reflection. General elastodynamic, scattering, and acoustic cloaking theories are reviewed. In application to scattering, a new method is developed for cylindrically layered elastic media, which combines impedance and matricant propagator matrices in a stable integration scheme. A variety of techniques are used to estimate and improve the homogenized material properties associated with Metal Water. Dispersion curves are found by the application of Bloch-Floquet theory where a new approach that utilizes Euler-Bernoulli beams is developed. Results are compared against finite element methods capable of more accurately determining homogenized properties. Several designs are proposed in two and three dimensions with detailed studies including dispersion curve analysis as well as statically determined properties.
NotePh.D.
NoteIncludes bibliographical references
Noteby Adam Julius Nagy
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3FJ2JM3
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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