The edge wave on an elastically supported Kirchhoff plate (2014)
Journal Article
Kaplunov, J., Prikazchikov, D. A., Rogerson, G. A., & Lashab, M. I. (2014). The edge wave on an elastically supported Kirchhoff plate. Journal of the Acoustical Society of America, 136(4), 1487 - 1490. https://doi.org/10.1121/1.4894795

This Letter deals with an analysis of bending edge waves propagating along the free edge of a Kirchhoff plate supported by a Winkler foundation. The presence of a foundation leads to a non-zero cut-off frequency for this wave, along with a local mini... Read More about The edge wave on an elastically supported Kirchhoff plate.

Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media (2014)
Journal Article
Kaplunov. (2014). Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Wave Motion, 581 - 588. https://doi.org/10.1016/j.wavemoti.2013.09.007

This article explores the deep connections that exist between the mathematical representations of dynamic phenomena in functionally graded waveguides and those in periodic media. These connections are at their most obvious for low-frequency and long-... Read More about Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media.

Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon (2014)
Journal Article
Fu, Y., & Xie, Y. (2014). Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon. Journal of the Mechanics and Physics of Solids, 33 - 44. https://doi.org/10.1016/j.jmps.2014.03.007

It is well-known that for most spherical rubber balloons the pressure versus volume curve associated with uniform inflation is N-shaped (the pressure increases rapidly to a maximum, falls to a minimum, and subsequently increases monotonically), and t... Read More about Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon.

Stability of an inflated hyperelastic membrane tube with localized wall thinning (2014)
Journal Article
Il'ichev, A., & Fu, Y. (2014). Stability of an inflated hyperelastic membrane tube with localized wall thinning. International Journal of Engineering Science, 53 - 61. https://doi.org/10.1016/j.ijengsci.2014.02.031

It is now well-known that when an infinitely long hyperelastic membrane tube free from any imperfections is inflated, a transcritical-type bifurcation may take place that corresponds to the sudden formation of a localized bulge. When the membrane tub... Read More about Stability of an inflated hyperelastic membrane tube with localized wall thinning.