Modeling wave dispersion and band gaps in heterogeneous elastic media
In this paper we report recent developments and results concerning validation of the homogenization approach applied in modeling waves in strongly heterogeneous elastic media. The homogenization limit model is obtained for stationary waves, but can also be used to estimate dispersion properties for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of West Bohemia
2007-10-01
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| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no1_p028.pdf |
| _version_ | 1819127520910376960 |
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| author | Rohan E. Seifrt F. |
| author_facet | Rohan E. Seifrt F. |
| author_sort | Rohan E. |
| collection | DOAJ |
| description | In this paper we report recent developments and results concerning validation of the homogenization approach applied in modeling waves in strongly heterogeneous elastic media. The homogenization limit model is obtained for stationary waves, but can also be used to estimate dispersion properties for long guided waves propagation. Band gaps distribution depends on the material contrast and on the geometrical arrangements in the microstructure. Similarity between discrete structures and heterogeneous continua is used to demonstrate the dispersion phenomena. The modeling approach has been extended to the piezo-phononic materials, which may be useful in designing smart materials. Also problems of optimal shape design at the microscopic level were pursued. |
| first_indexed | 2024-12-22T08:13:14Z |
| format | Article |
| id | doaj.art-eb1636dcc66b4806a1c9c4e58467bdb7 |
| institution | Directory Open Access Journal |
| issn | 1802-680X |
| language | English |
| last_indexed | 2024-12-22T08:13:14Z |
| publishDate | 2007-10-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj.art-eb1636dcc66b4806a1c9c4e58467bdb72022-12-21T18:32:59ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2007-10-0111243254Modeling wave dispersion and band gaps in heterogeneous elastic mediaRohan E.Seifrt F.In this paper we report recent developments and results concerning validation of the homogenization approach applied in modeling waves in strongly heterogeneous elastic media. The homogenization limit model is obtained for stationary waves, but can also be used to estimate dispersion properties for long guided waves propagation. Band gaps distribution depends on the material contrast and on the geometrical arrangements in the microstructure. Similarity between discrete structures and heterogeneous continua is used to demonstrate the dispersion phenomena. The modeling approach has been extended to the piezo-phononic materials, which may be useful in designing smart materials. Also problems of optimal shape design at the microscopic level were pursued.http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no1_p028.pdfPhononic materialsPeriodic microstructureHomogenizationDispersionGuided waves |
| spellingShingle | Rohan E. Seifrt F. Modeling wave dispersion and band gaps in heterogeneous elastic media Applied and Computational Mechanics Phononic materials Periodic microstructure Homogenization Dispersion Guided waves |
| title | Modeling wave dispersion and band gaps in heterogeneous elastic media |
| title_full | Modeling wave dispersion and band gaps in heterogeneous elastic media |
| title_fullStr | Modeling wave dispersion and band gaps in heterogeneous elastic media |
| title_full_unstemmed | Modeling wave dispersion and band gaps in heterogeneous elastic media |
| title_short | Modeling wave dispersion and band gaps in heterogeneous elastic media |
| title_sort | modeling wave dispersion and band gaps in heterogeneous elastic media |
| topic | Phononic materials Periodic microstructure Homogenization Dispersion Guided waves |
| url | http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no1_p028.pdf |
| work_keys_str_mv | AT rohane modelingwavedispersionandbandgapsinheterogeneouselasticmedia AT seifrtf modelingwavedispersionandbandgapsinheterogeneouselasticmedia |