Design of continuously graded elastic acoustic cloaks

Sanders, Clay Michael; Aquino, Wilkins; Walsh, Timothy

doi:10.1121/1.5019699

Title: Design of continuously graded elastic acoustic cloaks

Abstract

Here, this letter demonstrates the design of continuously graded elastic cylinders to achieve passive cloaking from harmonic acoustic excitation, both at single frequencies and over extended bandwidths. The constitutive parameters in a multilayered, constant-density cylinder are selected in a partial differential equation-constrained optimization problem, such that the residual between the pressure field from an unobstructed spreading wave in a fluid and the pressure field produced by the cylindrical inclusion is minimized. The radial variation in bulk modulus appears fundamental to the cloaking behavior, while the shear modulus distribution plays a secondary role. Such structures could be realized with functionally-graded elastic materials.

Authors:

Sanders, Clay Michael ^[1]; Aquino, Wilkins ^[1]; Walsh, Timothy ^[2]

Duke Univ., Durham, NC (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Publication Date:: Thu Jan 25 00:00:00 EST 2018

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1464205

Report Number(s):: SAND-2016-11393J
Journal ID: ISSN 0001-4966; 649026

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: Journal of the Acoustical Society of America

Additional Journal Information:: Journal Volume: 143; Journal Issue: 1; Journal ID: ISSN 0001-4966

Publisher:: Acoustical Society of America

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING

Citation Formats


                    Sanders, Clay Michael, Aquino, Wilkins, and Walsh, Timothy. Design of continuously graded elastic acoustic cloaks.  United States: N. p., 2018. 
Web.  doi:10.1121/1.5019699.

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                    Sanders, Clay Michael, Aquino, Wilkins, & Walsh, Timothy. Design of continuously graded elastic acoustic cloaks.  United States.  https://doi.org/10.1121/1.5019699

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                    Sanders, Clay Michael, Aquino, Wilkins, and Walsh, Timothy. Thu .  
"Design of continuously graded elastic acoustic cloaks".  United States.  https://doi.org/10.1121/1.5019699.  https://www.osti.gov/servlets/purl/1464205.

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@article{osti_1464205,

  title        = {Design of continuously graded elastic acoustic cloaks},

  author       = {Sanders, Clay Michael and Aquino, Wilkins and Walsh, Timothy},

  abstractNote = {Here, this letter demonstrates the design of continuously graded elastic cylinders to achieve passive cloaking from harmonic acoustic excitation, both at single frequencies and over extended bandwidths. The constitutive parameters in a multilayered, constant-density cylinder are selected in a partial differential equation-constrained optimization problem, such that the residual between the pressure field from an unobstructed spreading wave in a fluid and the pressure field produced by the cylindrical inclusion is minimized. The radial variation in bulk modulus appears fundamental to the cloaking behavior, while the shear modulus distribution plays a secondary role. Such structures could be realized with functionally-graded elastic materials.},

  doi          = {10.1121/1.5019699},

  journal      = {Journal of the Acoustical Society of America},

  number       = 1,

  volume       = 143,

  place        = {United States},

  year         = {Thu Jan 25 00:00:00 EST 2018},

  month        = {Thu Jan 25 00:00:00 EST 2018}

}

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Figures / Tables:

Figure 1: Coupled fluid-structural domain, with absorbing Sommerfeld conditions Γ_C and pressure-loading Γ_NF applied to fluid domain

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