Julius Kaplunov's Outputs (6)

Perturbed rigid body motions of an elastic rectangle (2020)
Journal Article
Kaplunov, J., & Şahin, O. (2020). Perturbed rigid body motions of an elastic rectangle. Zeitschrift für angewandte Mathematik und Physik, 71(5), https://doi.org/10.1007/s00033-020-01390-w

Preface to a special feature dedicated to the memory of Prof. Peter Chadwick FRS. (2020)
Journal Article
Fu, & Kaplunov. (2020). Preface to a special feature dedicated to the memory of Prof. Peter Chadwick FRS. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20200615 - ?. https://doi.org/10.1098/rspa.2020.0615

'No abstract'

Asymptotic derivation of refined dynamic equations for a thin elastic annulus (2020)
Journal Article
Ege, N., Erbaş, B., & Kaplunov, J. (2021). Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Mathematics and Mechanics of Solids, 26(1), 118-132. https://doi.org/10.1177/1081286520944980

A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane (2020)
Journal Article
Wootton, P. T., Prikazchikov, D., & Kaplunov, J. (2020). A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. IMA Journal of Applied Mathematics, 85(1), 113 - 131. https://doi.org/10.1093/imamat/hxz037

We derive a second-order correction to an existing leading-order model for surface waves in linear elasticity. The same hyperbolic–elliptic equation form is obtained with a correction term added to the surface boundary condition. The validity of the... Read More about A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane.

Reduced model for the surface dynamics of a generally anisotropic elastic half-space (2020)
Journal Article
Prikazchikov, Kaplunov, & Fu. (2020). Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20190590 - 20190590. https://doi.org/10.1098/rspa.2019.0590

Near-surface resonance phenomena often arise in semi-infinite solids. For instance, when a moving load with a speed v close to the surface wave speed vR is applied to the surface of an elastic half-space, it will give rise to a large-amplitude distur... Read More about Reduced model for the surface dynamics of a generally anisotropic elastic half-space.

On the dynamics of drilling (2020)
Journal Article
Kaplunov, J., Khajiyeva, L., Martyniuk, M., & Sergaliyev, A. (2020). On the dynamics of drilling. International Journal of Engineering Science, 146, 103184. https://doi.org/10.1016/j.ijengsci.2019.103184