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DC Field | Value | Language |
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dc.contributor.author | Pichugin, AV | - |
dc.contributor.author | Rogerson, GA | - |
dc.coverage.spatial | 30 | en |
dc.date.accessioned | 2008-01-29T16:58:10Z | - |
dc.date.available | 2008-01-29T16:58:10Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | IMA Journal of Applied Mathematics, 66(4): 357-385 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/1573 | - |
dc.description.abstract | A two-dimensional model for extensional motion of a pre-stressed incompressible elastic layer near its cut-off frequencies is derived. Leading-order solutions for displacement and pressure are obtained in terms of the long wave amplitude by direct asymptotic integration. A governing equation, together with corrections for displacement and pressure, is derived from the second-order problem. A novel feature of this (two-dimensional) hyperbolic governing equation is that, for certain pre-stressed states, time and one of the two (in-plane) spatial variables can change roles. Although whenever this phenomenon occurs the equation still remains hyperbolic, it is clearly not wave-like. The second-order solution is completed by deriving a refined governing equation from the third-order problem. Asymptotic consistency, in the sense that the dispersion relation associated with the two-dimensional model concurs with the appropriate order expansion of the three-dimensional relation at each order, is verified. The model has particular application to stationary thickness vibration of, or transient response to high frequency shock loading in, thin walled bodies. | en |
dc.format.extent | 342264 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Oxford University Press | en |
dc.subject | Asymptotic analysis | en |
dc.subject | Elasticity | en |
dc.subject | Pre-stress | en |
dc.subject | waves | en |
dc.title | A two-dimensional model for extensional motion of a pre-stressed incompressible elastic layer near cut-of frequencies | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1093/imamat/66.4.357 | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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2001imajam.pdf | 334.24 kB | Adobe PDF | View/Open |
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