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Dispersion phenomena in symmetric pre-stressed layered elastic structures (2015)
Journal Article
Lashhab, M., Rogerson, G., & Sandiford, K. (2015). Dispersion phenomena in symmetric pre-stressed layered elastic structures. International Journal of Solids and Structures, 58, 220-232. https://doi.org/10.1016/j.ijsolstr.2015.01.006

The dispersion relation associated with a symmetric three layer structure, composed of compressible, pre-stressed elastic layers, is derived. This mathematically elaborate transcendental equation gives phase speed as an implicit function of wave numb... Read More about Dispersion phenomena in symmetric pre-stressed layered elastic structures.

Assessing student teams developing mathematical models applied to business and industrial mathematics (2011)
Journal Article
Chadwick, E., Sandiford, K., & Percy, D. (2011). Assessing student teams developing mathematical models applied to business and industrial mathematics. MSOR Connections, 11(3), 22-24

Using case studies and group work, this project attempted to provide students with experience of business and industrial working practices and also to address the issue of how to solve practical mathematical problems. Students were organised into tea... Read More about Assessing student teams developing mathematical models applied to business and industrial mathematics.

On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids (2007)
Journal Article
Prikazchikov, D., Rogerson, G., & Sandiford, K. (2007). On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids. Journal of Sound and Vibration, 301(3-5), 701-717. https://doi.org/10.1016/j.jsv.2006.10.027

This paper is concerned with 2D localised vibration in incompressible pre-stressed fibre-reinforced elastic solids and the closely related problem of surface wave propagation in such materials. An appropriate constitutive model is derived and its sta... Read More about On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids.

Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions (2007)
Journal Article
Rogerson, G., Sandiford, K., & Prikazchikova, L. (2007). Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions. International Journal of Non-Linear Mechanics, 42(2), 298-309. https://doi.org/10.1016/j.ijnonlinmec.2007.01.005

A two parameter asymptotic analysis is employed to investigate some unusual long wave dispersion phenomena in respect of symmetric motion in a nearly incompressible elastic plate. The plate is not subject to the usual classical traction free boundary... Read More about Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions.

Two-dimensional motion in a Bell-constrained plate (2006)
Journal Article
Sandiford, K., Rogerson, G., & Murphy, J. (2006). Two-dimensional motion in a Bell-constrained plate. International Journal of Engineering Science, 44(5-6), 379-394. https://doi.org/10.1016/j.ijengsci.2005.12.006

The so-called Bell constraint has been used for several years in plasticity theory and has additionally been the subject to several investigations within an elastic context. In this paper the effects of the Bell constraint on the propagation of harmo... Read More about Two-dimensional motion in a Bell-constrained plate.

Some comments on the dispersion relation for periodically layered pre-stressed elastic media (2002)
Journal Article
Rogerson, G., & Sandiford, K. (2002). Some comments on the dispersion relation for periodically layered pre-stressed elastic media. International Journal of Engineering Science, 40(1), 23-49. https://doi.org/10.1016/S0020-7225%2801%2900051-9

In this paper the dispersion relation associated with harmonic waves propagating in a periodically layered structure is derived and analysed. Specifically, the structure is made up of repeating unit cells, with each layer composed of an incompressibl... Read More about Some comments on the dispersion relation for periodically layered pre-stressed elastic media.