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DC Field | Value | Language |
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dc.contributor.author | Pichugin, AV | - |
dc.contributor.author | Askes, H | - |
dc.contributor.author | Tyas, A | - |
dc.date.accessioned | 2010-05-13T08:28:36Z | - |
dc.date.available | 2010-05-13T08:28:36Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Journal of Sound and Vibration. 313(3–5): 858–874 | en |
dc.identifier.issn | 0022-460X | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/4334 | - |
dc.description.abstract | Long-wave models obtained in the process of asymptotic homogenisation of structures with a characteristic length scale are known to be non-unique. The term non-uniqueness is used here in the sense that various homogenisation strategies may lead to distinct governing equations that usually, for a given order of the governing equation, approximate the original problem with the same asymptotic accuracy. A constructive procedure presented in this paper generates a class of asymptotically equivalent long-wave models from an original homogenised theory. The described non-uniqueness manifests itself in the occurrence of additional parameters characterising the model. A simple problem of long-wave propagation in a regular one-dimensional lattice structure is used to illustrate important criteria for selecting these parameters. The procedure is then applied to derive a class of continuum theories for a two-dimensional square array of particles. Applications to asymptotic structural theories are also discussed. In particular, we demonstrate how to improve the governing equation for the Rayleigh-Love rod and explain the reasons for the well-known numerical accuracy of the Mindlin plate theory. | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.title | Asymptotic equivalence of homogenisation procedures and fine-tuning of continuum theories | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jsv.2007.12.005 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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2008jsv.pdf | 378.11 kB | Adobe PDF | View/Open |
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