Julius Kaplunov
Keele University
137 Papers
424 Citations
Julius Kaplunov is an academic researcher from Keele University. The author has contributed to research in topics: Boundary value problem & Dispersion relation. The author has an hindex of 26, co-authored 125 publications. Previous affiliations of Julius Kaplunov include Brunel University London & Russian Academy.
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Papers
An asymptotic higher-order theory for rectangular beams.
TL;DR: Limiting behaviours for beams with large (and small) aspect ratios, which can be established using classical plate theories, are recovered from the new governing equation to illustrate its consistency and also to illustrate the importance of using plate theories with the correctly refined boundary conditions.
An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces.
TL;DR: In this article, a periodic array of resonators, formed from EulerBernoulli beams, attached to the surface of an elastic half-space was considered, and the authors considered the Euler Bernoulli beam as a resonator.
An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides
TL;DR: In this article, an asymptotic theory for internal reflection in the plane elastic waveguide, slowly varying along one of the longitudinal directions, is developed by the method of matched ASM expansions.
An example of a quasi-trapped mode in a weakly non-linear elastic waveguide
Julius Kaplunov,E.V. Nolde +1 more
TL;DR: In this paper, a semi-infinite string with a point end mass is considered in the presence of a weakly non-linear support, and the effect of nonlinearity involves small amplitude non-localized disturbances resulting in a slow time-decay of the vibration amplitude.
Localized vibration in elastic structures with slowly varying thickness
TL;DR: In this article, high frequency localized vibration modes for linear isotropic elastic plates and rods of slowly varying thickness are shown to occur within the vicinity of maximal or minimal cross-sections.