๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the structure of the spectrum for the elasticity problem in a body with a supersharp spike

โœ Scribed by F. L. Bakharev; S. A. Nazarov

Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
180 KB
Volume
50
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Asymptotic splitting in the three-dimens
Asymptotic splitting in the three-dimensional problem of linear elasticity for elongated bodies with a structure
โœ V.V. Yeliseyev; I.S. Orlov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 448 KB

The equilibrium of linearly-elastic elongated bodies (rods) with an extremely arbitrary geometry and structure subjected to the effects of force and heat is considered. Owing to the presence of a small parameter--the relative thickness--this is a singularly perturbed problem. The asymptotic analysis

The natural oscillations of an elastic b
The natural oscillations of an elastic body with a heavy rigid spike-shaped inclusion
โœ S.A. Nazarov ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 601 KB

It is established that oscillations in the low-frequency range are characteristic for a body with a heavyrigid spike-shaped inclusion, and corresponding modes mainly occur as flexural deformations of the tip of the spike, localized close to its vertex.

A criterion for the existence of the ess
A criterion for the existence of the essential spectrum for beak-shaped elastic bodies
โœ G. Cardone; S.A. Nazarov; J. Taskinen ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

We establish a criterion for the existence of the essential spectrum for the elasticity problem in the case the traction-free surface of a finite elastic body has a beak-shaped irregularity (see Corollary 3.5 and Theorem 4.2). This boundary irregularity is angular in two dimensions and cuspidal in o