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DC Field | Value | Language |
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dc.contributor.author | Kaplunov, JD | - |
dc.contributor.author | Pichugin, AV | - |
dc.coverage.spatial | 22 | en |
dc.date.accessioned | 2008-01-30T16:07:52Z | - |
dc.date.available | 2008-01-30T16:07:52Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Journal of the Mechanics and Physics of Solids, 53(5): 1079–1098, Feb 2005 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/1577 | - |
dc.description.abstract | A refined membrane-like theory is used to describe bending of a semi-infinite pre-stressed incompressible elastic plate subjected to an instantaneous impulse loading at the edge. A far-field solution for the quasi-front is obtained by using the method of matched asymptotic expansions. A leading-order hyperbolic membrane equation is used for an outer problem, whereas a refined (singularly perturbed) membrane equation of an inner problem describes a boundary layer, which smoothes a discontinuity predicted by the outer problem at the wave front. The inner problem is then reduced to one-dimensional by an appropriate choice of inner coordinates, motivated by the wave front geometry. Using the inherent symmetry of the outer problem, a solution for the quasi-front is derived that is valid in a vicinity of the tip of the wave front. Pre-stress is shown to affect geometry and type of the generated quasi-front; in addition to a classical receding quasi-front the pre-stressed plate can support propagation of an advancing quasi-front. Possible responses may even feature both types of quasi-front at the same time, which is illustrated by numerical examples. The case of a so-called narrow quasi-front, associated with a possible degeneration of contribution of singular perturbation terms to the governing equation, is studied qualitatively. | en |
dc.format.extent | 328908 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Ltd | en |
dc.subject | Pre-stress | en |
dc.subject | Plate | en |
dc.subject | Quasi-front | en |
dc.subject | Matched asymptotic expansions | en |
dc.subject | Plate bending | en |
dc.title | A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate | en |
dc.type | Research Paper | en |
dc.identifier.doi | https://doi.org/10.1016/j.jmps.2004.12.002 | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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