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A higher-order direct boundary integ...

Selcuk, Sakir.

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A higher-order direct boundary integral-displacement discontinuity method for fracture propagation in layered elastic media.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A higher-order direct boundary integral-displacement discontinuity method for fracture propagation in layered elastic media./
Author:	Selcuk, Sakir.
Description:	200 p.
Notes:	Source: Dissertation Abstracts International, Volume: 53-08, Section: B, page: 4208.
Contained By:	Dissertation Abstracts International53-08B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9239154

A higher-order direct boundary integral-displacement discontinuity method for fracture propagation in layered elastic media.
Selcuk, Sakir.

A higher-order direct boundary integral-displacement discontinuity method for fracture propagation in layered elastic media. - 200 p.

Source: Dissertation Abstracts International, Volume: 53-08, Section: B, page: 4208.

Thesis (Ph.D.)--University of Minnesota, 1992.

This thesis presents the development of a direct boundary integral-displacement discontinuity method for plane-strain elastostatics boundary value problems in layered materials with cracks. Somigliana's identity for displacements inside an elastic region is extended to take account of crack-like geometries. The resulting boundary integral equations involve integrals with unknowns as the displacement discontinuities over the cracks. These equations are supplemented with traction boundary integral equations derived by differentiating the displacements. The kernel functions for the dual boundary integral equations are developed from the closed form solution to the problem of a concentrated force within one of two bonded half-planes in which the interface continuity conditions are fulfilled exactly. A four-layer elastic region with cracks is developed using a substructuring approach to construct one of the interfaces for the problem under consideration; the other two interfaces are automatically included by virtue of using the fundamental solution for the bonded half-planes. Quadratic variation boundary elements are used to model all boundary contours, cracks and the numerical interface. Crack tips are modeled with square-root variation boundary elements. All kernel-shape function products are integrated over straight-line boundary elements in closed form.Subjects--Topical Terms:

1018410
Applied Mechanics.

A higher-order direct boundary integral-displacement discontinuity method for fracture propagation in layered elastic media.
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008 130614s1992 eng d
035 $a (UnM)AAI9239154
035 $a AAI9239154
040 $a UnM $c UnM
100 1 $a Selcuk, Sakir. $3 1945429
245 1 0 $a A higher-order direct boundary integral-displacement discontinuity method for fracture propagation in layered elastic media.
300 $a 200 p.
500 $a Source: Dissertation Abstracts International, Volume: 53-08, Section: B, page: 4208.
500 $a Major Adviser: Steven L. Crouch.
502 $a Thesis (Ph.D.)--University of Minnesota, 1992.
520 $a This thesis presents the development of a direct boundary integral-displacement discontinuity method for plane-strain elastostatics boundary value problems in layered materials with cracks. Somigliana's identity for displacements inside an elastic region is extended to take account of crack-like geometries. The resulting boundary integral equations involve integrals with unknowns as the displacement discontinuities over the cracks. These equations are supplemented with traction boundary integral equations derived by differentiating the displacements. The kernel functions for the dual boundary integral equations are developed from the closed form solution to the problem of a concentrated force within one of two bonded half-planes in which the interface continuity conditions are fulfilled exactly. A four-layer elastic region with cracks is developed using a substructuring approach to construct one of the interfaces for the problem under consideration; the other two interfaces are automatically included by virtue of using the fundamental solution for the bonded half-planes. Quadratic variation boundary elements are used to model all boundary contours, cracks and the numerical interface. Crack tips are modeled with square-root variation boundary elements. All kernel-shape function products are integrated over straight-line boundary elements in closed form.
520 $a Linear elastic mixed-mode fracture propagation criteria are reviewed and an algorithm based on the maximum circumferential tensile stress criterion is developed and incorporated into the numerical model for quasi-static crack propagation in layered materials. For cracks propagating away from a material interface, the criterion uses the linear elastic fracture mechanics solutions for stresses in the vicinity of a crack tip in a homogeneous region. The analytical solution for the stress field near the tip of an interfacial crack is used for the maximum tensile stress criterion to determine whether or not the crack will kink out of the interface. For cracks touching a material interface, the variation of the strength of the crack-tip stress singularity is not taken into account.
520 $a Various example problems involving a circular hole and line cracks near or along material interfaces are used to compare the numerical results with the solutions available in the literature.
590 $a School code: 0130.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Mining. $3 1035560
650 4 $a Geotechnology. $3 1018558
690 $a 0346
690 $a 0551
690 $a 0428
710 2 0 $a University of Minnesota. $3 676231
773 0 $t Dissertation Abstracts International $g 53-08B.
790 1 0 $a Crouch, Steven L., $e advisor
790 $a 0130
791 $a Ph.D.
792 $a 1992
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9239154