๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Reconstruction of inclusions in an elastic body

โœ Scribed by Gunther Uhlmann; Jenn-Nan Wang; Chin-Tien Wu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
551 KB
Volume
91
Category
Article
ISSN
0021-7824

No coin nor oath required. For personal study only.

โœฆ Synopsis

We consider the reconstruction of elastic inclusions embedded inside of a planar region, bounded or unbounded, with isotropic inhomogeneous elastic parameters by measuring displacements and tractions at the boundary. We probe the medium with complex geometrical optics solutions having polynomial-type phase functions. Using these solutions we develop an algorithm to reconstruct the exact shape of a large class of inclusions including star-shaped domains and we implement numerically this algorithm for some examples.

๐Ÿ“œ SIMILAR VOLUMES

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.

The stress singularity coefficient at a
The stress singularity coefficient at a finite rigid flat inclusion in an orthotropic plane elastic body
โœ Chen Yi-Heng; Hans-Georg Hahn ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 329 KB

The analysis of a finite flat inclusion in an orthotropic plane elastic body with purely imaginary characteristic roots under inclined uniform loading at infinity is performed using Lekhnitskii's theory. The major features of the problem are exhibited and discussed.

Reconstruction of plane cracks in an ani
Reconstruction of plane cracks in an anisotropic elastic solid
โœ A.O. Vatul'yan; A.N. Solov'yev ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 914 KB

Two methods are proposed for identifying plan e cracks in an anistropic elastic medium, based either on the use of a "nonreciprocity" functional or on the non-classical method of boundary integral equations and leading to the solution of certain transcendental equations. Examples of the reconstructi