On elastic waves and related phenomena in lattice materials and structures
Lattice materials possessing a spatially periodic microstructure are suitable in weight sensitive multifunctional structural applications such as sandwich panels. They not only possess high specific stiffness but also provide opportunities to tailor acoustic and thermal properties through designing...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2011-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.3676167 |
| _version_ | 1819208000834895872 |
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| author | A. Srikantha Phani |
| author_facet | A. Srikantha Phani |
| author_sort | A. Srikantha Phani |
| collection | DOAJ |
| description | Lattice materials possessing a spatially periodic microstructure are suitable in weight sensitive multifunctional structural applications such as sandwich panels. They not only possess high specific stiffness but also provide opportunities to tailor acoustic and thermal properties through designing their unit cell topology. This paper seeks to understand their mechanical response under static and dynamic loads from a structural mechanics perspective combining Bloch wave theory with Finite Element Method (FEM). Bringing together results from earlier works, it is shown that three eigenvalue problems, containing the frequency and wave vector as the unknowns, can be used to analyze bulk and surface wave phenomena. The application of eigenvalue problems to band-gaps (spatially extended response), edge effects of Saint Venant type (spatially localised response), and buckling of long cellular structures is shown. |
| first_indexed | 2024-12-23T05:32:26Z |
| format | Article |
| id | doaj.art-bddaa22ad3ba48bfb24661d9f225f71c |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-23T05:32:26Z |
| publishDate | 2011-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-bddaa22ad3ba48bfb24661d9f225f71c2022-12-21T17:58:26ZengAIP Publishing LLCAIP Advances2158-32262011-12-0114041602041602-1110.1063/1.3676167101104ADVOn elastic waves and related phenomena in lattice materials and structuresA. Srikantha Phani0Canada Research Chair in Dynamics of Lattice Materials and Devices, Department of Mechanical Engineering, The University of British Columbia, 6250 Applied Science Lane, Vancouver, BC, V6T 1PZ, CanadaLattice materials possessing a spatially periodic microstructure are suitable in weight sensitive multifunctional structural applications such as sandwich panels. They not only possess high specific stiffness but also provide opportunities to tailor acoustic and thermal properties through designing their unit cell topology. This paper seeks to understand their mechanical response under static and dynamic loads from a structural mechanics perspective combining Bloch wave theory with Finite Element Method (FEM). Bringing together results from earlier works, it is shown that three eigenvalue problems, containing the frequency and wave vector as the unknowns, can be used to analyze bulk and surface wave phenomena. The application of eigenvalue problems to band-gaps (spatially extended response), edge effects of Saint Venant type (spatially localised response), and buckling of long cellular structures is shown.http://dx.doi.org/10.1063/1.3676167 |
| spellingShingle | A. Srikantha Phani On elastic waves and related phenomena in lattice materials and structures AIP Advances |
| title | On elastic waves and related phenomena in lattice materials and structures |
| title_full | On elastic waves and related phenomena in lattice materials and structures |
| title_fullStr | On elastic waves and related phenomena in lattice materials and structures |
| title_full_unstemmed | On elastic waves and related phenomena in lattice materials and structures |
| title_short | On elastic waves and related phenomena in lattice materials and structures |
| title_sort | on elastic waves and related phenomena in lattice materials and structures |
| url | http://dx.doi.org/10.1063/1.3676167 |
| work_keys_str_mv | AT asrikanthaphani onelasticwavesandrelatedphenomenainlatticematerialsandstructures |