Nonlocal dynamics of dissipative phononic fluids
We describe the nonlocal effective properties of a two-dimensional dissipative phononic crystal made by periodic arrays of rigid and motionless cylinders embedded in a viscothermal fluid such as air. The description is based on a nonlocal theory of sound propagation in stationary random fluid/rigid...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110347 https://orcid.org/0000-0002-1370-0677 https://orcid.org/0000-0001-6386-5878 https://orcid.org/0000-0001-5713-629X |
| _version_ | 1826195301883445248 |
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| author | Lafarge, Denis Duclos, Aroune Nemati, Navid Lee, Yoon Kyung Fang, Xuanlai |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Lafarge, Denis Duclos, Aroune Nemati, Navid Lee, Yoon Kyung Fang, Xuanlai |
| author_sort | Lafarge, Denis |
| collection | MIT |
| description | We describe the nonlocal effective properties of a two-dimensional dissipative phononic crystal made by periodic arrays of rigid and motionless cylinders embedded in a viscothermal fluid such as air. The description is based on a nonlocal theory of sound propagation in stationary random fluid/rigid media that was proposed by Lafarge and Nemati [Wave Motion 50, 1016 (2013)WAMOD90165-212510.1016/j.wavemoti.2013.04.007]. This scheme arises from a deep analogy with electromagnetism and a set of physics-based postulates including, particularly, the action-response procedures, whereby the effective density and bulk modulus are determined. Here, we revisit this approach, and clarify further its founding physical principles through presenting it in a unified formulation together with the two-scale asymptotic homogenization theory that is interpreted as the local limit. Strong evidence is provided to show that the validity of the principles and postulates within the nonlocal theory extends to high-frequency bands, well beyond the long-wavelength regime. In particular, we demonstrate that up to the third Brillouin zone including the Bragg scattering, the complex and dispersive phase velocity of the least-attenuated wave in the phononic crystal which is generated by our nonlocal scheme agrees exactly with that reproduced by a direct approach based on the Bloch theorem and multiple scattering method. In high frequencies, the effective wave and its associated parameters are analyzed by treating the phononic crystal as a random medium. |
| first_indexed | 2024-09-23T10:10:33Z |
| format | Article |
| id | mit-1721.1/110347 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:10:33Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1103472022-09-30T19:24:37Z Nonlocal dynamics of dissipative phononic fluids Lafarge, Denis Duclos, Aroune Nemati, Navid Lee, Yoon Kyung Fang, Xuanlai Massachusetts Institute of Technology. Department of Mechanical Engineering Nemati, Navid Lee, Yoon Kyung Fang, Xuanlai We describe the nonlocal effective properties of a two-dimensional dissipative phononic crystal made by periodic arrays of rigid and motionless cylinders embedded in a viscothermal fluid such as air. The description is based on a nonlocal theory of sound propagation in stationary random fluid/rigid media that was proposed by Lafarge and Nemati [Wave Motion 50, 1016 (2013)WAMOD90165-212510.1016/j.wavemoti.2013.04.007]. This scheme arises from a deep analogy with electromagnetism and a set of physics-based postulates including, particularly, the action-response procedures, whereby the effective density and bulk modulus are determined. Here, we revisit this approach, and clarify further its founding physical principles through presenting it in a unified formulation together with the two-scale asymptotic homogenization theory that is interpreted as the local limit. Strong evidence is provided to show that the validity of the principles and postulates within the nonlocal theory extends to high-frequency bands, well beyond the long-wavelength regime. In particular, we demonstrate that up to the third Brillouin zone including the Bragg scattering, the complex and dispersive phase velocity of the least-attenuated wave in the phononic crystal which is generated by our nonlocal scheme agrees exactly with that reproduced by a direct approach based on the Bloch theorem and multiple scattering method. In high frequencies, the effective wave and its associated parameters are analyzed by treating the phononic crystal as a random medium. United States. Office of Naval Research (N00014-13-1-0631) 2017-06-28T13:34:48Z 2017-06-28T13:34:48Z 2017-06 2017-03 2017-06-27T22:00:11Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/110347 Nemati, Navid; Lee, Yoonkyung E.; Lafarge, Denis; Duclos, Aroune and Fang, Nicholas. "Nonlocal dynamics of dissipative phononic fluids." Physical Review B 95, 224304 (June 2017): 1-15 © 2017 American Physical Society https://orcid.org/0000-0002-1370-0677 https://orcid.org/0000-0001-6386-5878 https://orcid.org/0000-0001-5713-629X en http://dx.doi.org/10.1103/PhysRevB.95.224304 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Lafarge, Denis Duclos, Aroune Nemati, Navid Lee, Yoon Kyung Fang, Xuanlai Nonlocal dynamics of dissipative phononic fluids |
| title | Nonlocal dynamics of dissipative phononic fluids |
| title_full | Nonlocal dynamics of dissipative phononic fluids |
| title_fullStr | Nonlocal dynamics of dissipative phononic fluids |
| title_full_unstemmed | Nonlocal dynamics of dissipative phononic fluids |
| title_short | Nonlocal dynamics of dissipative phononic fluids |
| title_sort | nonlocal dynamics of dissipative phononic fluids |
| url | http://hdl.handle.net/1721.1/110347 https://orcid.org/0000-0002-1370-0677 https://orcid.org/0000-0001-6386-5878 https://orcid.org/0000-0001-5713-629X |
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