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Theoretical and Numerical Study of N...

Guerder, Pierre-Yves.

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Theoretical and Numerical Study of Nonlinear Phononic Crystals.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theoretical and Numerical Study of Nonlinear Phononic Crystals./
Author:	Guerder, Pierre-Yves.
Description:	159 p.
Notes:	Source: Dissertation Abstracts International, Volume: 76-08(E), Section: B.
Contained By:	Dissertation Abstracts International76-08B(E).
Subject:	Acoustics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3688084
ISBN:	9781321662160

Theoretical and Numerical Study of Nonlinear Phononic Crystals.
Guerder, Pierre-Yves.

Theoretical and Numerical Study of Nonlinear Phononic Crystals. - 159 p.

Source: Dissertation Abstracts International, Volume: 76-08(E), Section: B.

Thesis (Ph.D.)--The University of Arizona, 2015.

This work is dedicated to the theoretical and numerical study of nonlinear phononic crystals. The studied nonlinearities are those due to the second (quadratic) and third (cubic) order elastic constants of the materials that constitute the crystals. Nonlinear effects are studied by the means of finite element methods, used to simulate the propagation of an elastic wave through the crystals.

ISBN: 9781321662160Subjects--Topical Terms:

879105
Acoustics.

Theoretical and Numerical Study of Nonlinear Phononic Crystals.
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020 $a 9781321662160
035 $a (MiAaPQ)AAI3688084
035 $a AAI3688084
040 $a MiAaPQ $c MiAaPQ
100 1 $a Guerder, Pierre-Yves. $3 3192918
245 1 0 $a Theoretical and Numerical Study of Nonlinear Phononic Crystals.
300 $a 159 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-08(E), Section: B.
500 $a Advisers: Pierre A. Deymier; Olivier Bou Matar.
502 $a Thesis (Ph.D.)--The University of Arizona, 2015.
520 $a This work is dedicated to the theoretical and numerical study of nonlinear phononic crystals. The studied nonlinearities are those due to the second (quadratic) and third (cubic) order elastic constants of the materials that constitute the crystals. Nonlinear effects are studied by the means of finite element methods, used to simulate the propagation of an elastic wave through the crystals.
520 $a A first research project concerns the study of a bone structure, namely the dispersion of elastic waves in a structure composed of collagen and hydroxy apatite alternate constituent layers. Simulations showed that it exists a strong link between bones hydration and their ability to dissipate the energy. The second study relates to an elastic resonator. A structure composed of steel inclusions in a silica matrix shows a switch behavior when the cubic nonlinearities of steel are taken into account. This strong nonlinear effect appears when the amplitude of the incident wave reaches a threshold. A full analytical model is provided.
520 $a The last study demonstrates the design of composite materials with both strong cubic nonlinearities and weak quadratic nonlinearities. The derivation of the mixing laws of the elastic parameters of a nonlinear material inside a linear one is performed up to order three. Equations show a strong amplification of the nonlinear parameters of the material for some concentrations. Numerical simulations allow to conclude that the above mentioned resonator can be produced.
590 $a School code: 0009.
650 4 $a Acoustics. $3 879105
650 4 $a Materials science. $3 543314
650 4 $a Computer science. $3 523869
690 $a 0986
690 $a 0794
690 $a 0984
710 2 $a The University of Arizona. $b Materials Science & Engineering. $3 1064721
773 0 $t Dissertation Abstracts International $g 76-08B(E).
790 $a 0009
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3688084