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Generalized topological sensitivity ...

Chikichev, Ivan Sergeevich.

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Generalized topological sensitivity for inverse scattering of elastic waves.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Generalized topological sensitivity for inverse scattering of elastic waves./
作者:	Chikichev, Ivan Sergeevich.
面頁冊數:	133 p.
附註:	Adviser: Bojan B. Guzina.
Contained By:	Dissertation Abstracts International68-01B.
標題:	Engineering, Civil. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3249490

Generalized topological sensitivity for inverse scattering of elastic waves.
Chikichev, Ivan Sergeevich.

Generalized topological sensitivity for inverse scattering of elastic waves. - 133 p.

Adviser: Bojan B. Guzina.

Thesis (Ph.D.)--University of Minnesota, 2007.

The focus of this research is an extension of the concept of topological sensitivity, rooted in theories of shape optimization and elastostatics, to three-dimensional elastodynamics and its application toward preliminary reconstruction and characterization of inner defects by way of elastic waves. In particular the original concept, which exercises the idea of cavity nucleation, is generalized to permit germination of solid obstacles. The main result of the proposed generalization is an expression for topological sensitivity, explicit in terms of either the elastodynamic Green's function or the so-called adjoint solution, that is obtained by an asymptotic expansion of a misfit-type cost functional with respect to the nucleation of a dissimilar elastic inclusion in a defect-free "reference" solid. To cater for a variety of physical applications including shallow seismic exploration, material testing, and medical imaging, the proposed methodology is developed both in the frequency domain and the time domain. The featured formula, consisting of an inertial-contrast monopole term and an elasticity-contrast dipole term, is shown to be applicable to a variety of reference domains such as finite, semi-infinite, and infinite homogeneous solids as well as their heterogeneous counterparts with smoothly-varying elastic properties. Through numerical examples, it is shown that the generalized topological sensitivity can be used as a robust and computationally-effective obstacle indicator through an assembly of sampling points where it attains pronounced negative values. On varying the material characteristics of the nucleating obstacle, a new identification algorithm is developed that permits the use of the featured sensitivity as a preparatory tool for both geometric and material characterization of internal defects.Subjects--Topical Terms:

783781
Engineering, Civil.

Generalized topological sensitivity for inverse scattering of elastic waves.
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100 1 $a Chikichev, Ivan Sergeevich. $3 1265806
245 1 0 $a Generalized topological sensitivity for inverse scattering of elastic waves.
300 $a 133 p.
500 $a Adviser: Bojan B. Guzina.
500 $a Source: Dissertation Abstracts International, Volume: 68-01, Section: B, page: 0470.
502 $a Thesis (Ph.D.)--University of Minnesota, 2007.
520 $a The focus of this research is an extension of the concept of topological sensitivity, rooted in theories of shape optimization and elastostatics, to three-dimensional elastodynamics and its application toward preliminary reconstruction and characterization of inner defects by way of elastic waves. In particular the original concept, which exercises the idea of cavity nucleation, is generalized to permit germination of solid obstacles. The main result of the proposed generalization is an expression for topological sensitivity, explicit in terms of either the elastodynamic Green's function or the so-called adjoint solution, that is obtained by an asymptotic expansion of a misfit-type cost functional with respect to the nucleation of a dissimilar elastic inclusion in a defect-free "reference" solid. To cater for a variety of physical applications including shallow seismic exploration, material testing, and medical imaging, the proposed methodology is developed both in the frequency domain and the time domain. The featured formula, consisting of an inertial-contrast monopole term and an elasticity-contrast dipole term, is shown to be applicable to a variety of reference domains such as finite, semi-infinite, and infinite homogeneous solids as well as their heterogeneous counterparts with smoothly-varying elastic properties. Through numerical examples, it is shown that the generalized topological sensitivity can be used as a robust and computationally-effective obstacle indicator through an assembly of sampling points where it attains pronounced negative values. On varying the material characteristics of the nucleating obstacle, a new identification algorithm is developed that permits the use of the featured sensitivity as a preparatory tool for both geometric and material characterization of internal defects.
590 $a School code: 0130.
650 4 $a Engineering, Civil. $3 783781
650 4 $a Geophysics. $3 535228
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773 0 $t Dissertation Abstracts International $g 68-01B.
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