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APPLICATIONS OF INTEGRAL EQUATIONS WITH STRONG SINGULARITIES IN FRACTURE MECHANICS (FINITE-PART, THREE-DIMENSIONAL, CRACK).

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	APPLICATIONS OF INTEGRAL EQUATIONS WITH STRONG SINGULARITIES IN FRACTURE MECHANICS (FINITE-PART, THREE-DIMENSIONAL, CRACK)./
作者:	KAYA, AHMET CEMALETTIN.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 1984,
面頁冊數:	287 p.
附註:	Source: Dissertations Abstracts International, Volume: 45-07, Section: B.
Contained By:	Dissertations Abstracts International45-07B.
標題:	Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8418418
ISBN:	9798413175231

APPLICATIONS OF INTEGRAL EQUATIONS WITH STRONG SINGULARITIES IN FRACTURE MECHANICS (FINITE-PART, THREE-DIMENSIONAL, CRACK).
KAYA, AHMET CEMALETTIN.

APPLICATIONS OF INTEGRAL EQUATIONS WITH STRONG SINGULARITIES IN FRACTURE MECHANICS (FINITE-PART, THREE-DIMENSIONAL, CRACK). - Ann Arbor : ProQuest Dissertations & Theses, 1984 - 287 p.

Source: Dissertations Abstracts International, Volume: 45-07, Section: B.

Thesis (Ph.D.)--Lehigh University, 1984.

This item must not be sold to any third party vendors.

The main objective of this study is to investigate certain types of singular integrals which arise in the formulation of two-dimensional and three-dimensional crack problems. Although these integrals do not exist in the classical sense, they can be reinterpreted and evaluated using Hadamard's concept of "finite-part" integrals. Taking this as the starting point the thesis has been divided into two parts. In the first part, various methods for the numerical evaluation of finite-part integrals with 1/(t-x)('2) singularities and the approximate solution techniques for the related integral equations are explained. Using integral transforms some two-dimensional crack problems are formulated in terms of singular integral equations which are then solved by applying the Galerkin or the collocation methods. In the second part, a chronological review of the literature on the three-dimensional crack problems is given and different solution methods are summarized. Papkovitch-Neuber potentials are used to formulate the problem of a plane crack in a half-space and in an infinite strip. The two-dimensional singular integrals are evaluated by reducing them to finite-part integrals. Special cases where the crack occupies a circular or an elliptical region are discussed.

ISBN: 9798413175231Subjects--Topical Terms:

525881
Mechanics.

APPLICATIONS OF INTEGRAL EQUATIONS WITH STRONG SINGULARITIES IN FRACTURE MECHANICS (FINITE-PART, THREE-DIMENSIONAL, CRACK).
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245 1 0 $a APPLICATIONS OF INTEGRAL EQUATIONS WITH STRONG SINGULARITIES IN FRACTURE MECHANICS (FINITE-PART, THREE-DIMENSIONAL, CRACK).
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300 $a 287 p.
500 $a Source: Dissertations Abstracts International, Volume: 45-07, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
502 $a Thesis (Ph.D.)--Lehigh University, 1984.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a The main objective of this study is to investigate certain types of singular integrals which arise in the formulation of two-dimensional and three-dimensional crack problems. Although these integrals do not exist in the classical sense, they can be reinterpreted and evaluated using Hadamard's concept of "finite-part" integrals. Taking this as the starting point the thesis has been divided into two parts. In the first part, various methods for the numerical evaluation of finite-part integrals with 1/(t-x)('2) singularities and the approximate solution techniques for the related integral equations are explained. Using integral transforms some two-dimensional crack problems are formulated in terms of singular integral equations which are then solved by applying the Galerkin or the collocation methods. In the second part, a chronological review of the literature on the three-dimensional crack problems is given and different solution methods are summarized. Papkovitch-Neuber potentials are used to formulate the problem of a plane crack in a half-space and in an infinite strip. The two-dimensional singular integrals are evaluated by reducing them to finite-part integrals. Special cases where the crack occupies a circular or an elliptical region are discussed.
590 $a School code: 0105.
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710 2 $a Lehigh University. $3 515436
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