Stress intensity factor for cracks problems in an elastic half plane using singular integral equations

Single and multiple cracks in two dimensional half plane isotropic elastic solid are considered. The cracks are subjected to uniaxial tension s¥ x = p with free traction on the boundary. These problems are formulated into a system of singular integral equations (SIEs) with the distribution dislo...

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Main Author:	Elfakhakhre, Nawara Rajab Fathullah
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Fracture mechanics Strains and stresses Solid - Cracking
Online Access:	http://psasir.upm.edu.my/id/eprint/83554/1/FS%202018%2098%20-%20ir.pdf
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id	my-upm-ir.83554
record_format	uketd_dc
spelling	my-upm-ir.835542022-01-06T03:25:36Z Stress intensity factor for cracks problems in an elastic half plane using singular integral equations 2018-10 Elfakhakhre, Nawara Rajab Fathullah Single and multiple cracks in two dimensional half plane isotropic elastic solid are considered. The cracks are subjected to uniaxial tension s¥ x = p with free traction on the boundary. These problems are formulated into a system of singular integral equations (SIEs) with the distribution dislocation functions as unknown by using the modified complex potential. In solving the obtained SIEs, the cracks configurations are mapped into a straight line on a real axis by using the curved length coordinate method. By applying the appropriate quadrature formulas with the appropriate collocation points the SIEs are reduced to the system of algebraic linear equations with M unknown coefficients. These M unknowns coefficients are solved using the Gauss-Jordan elimination method. The obtained unknown coefficients will later be used in evaluating the stress intensity factor. The stress intensity factor at the tips of single and multiple cracks are obtained for various crack configurations and positions. Numerical results showed that the stress intensity factor influenced by the distance between the cracks, the crack configuration, and the distance between the cracks and the boundary of the half plane. For the test problems, our results are in good agreements with the existence results. Fracture mechanics Strains and stresses Solid - Cracking 2018-10 Thesis http://psasir.upm.edu.my/id/eprint/83554/ http://psasir.upm.edu.my/id/eprint/83554/1/FS%202018%2098%20-%20ir.pdf text en public doctoral Universiti Putra Malaysia Fracture mechanics Strains and stresses Solid - Cracking Nik Long, Nik Mohd Asri
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
advisor	Nik Long, Nik Mohd Asri
topic	Fracture mechanics Strains and stresses Solid - Cracking
spellingShingle	Fracture mechanics Strains and stresses Solid - Cracking Elfakhakhre, Nawara Rajab Fathullah Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
description	Single and multiple cracks in two dimensional half plane isotropic elastic solid are considered. The cracks are subjected to uniaxial tension s¥ x = p with free traction on the boundary. These problems are formulated into a system of singular integral equations (SIEs) with the distribution dislocation functions as unknown by using the modified complex potential. In solving the obtained SIEs, the cracks configurations are mapped into a straight line on a real axis by using the curved length coordinate method. By applying the appropriate quadrature formulas with the appropriate collocation points the SIEs are reduced to the system of algebraic linear equations with M unknown coefficients. These M unknowns coefficients are solved using the Gauss-Jordan elimination method. The obtained unknown coefficients will later be used in evaluating the stress intensity factor. The stress intensity factor at the tips of single and multiple cracks are obtained for various crack configurations and positions. Numerical results showed that the stress intensity factor influenced by the distance between the cracks, the crack configuration, and the distance between the cracks and the boundary of the half plane. For the test problems, our results are in good agreements with the existence results.
format	Thesis
qualification_level	Doctorate
author	Elfakhakhre, Nawara Rajab Fathullah
author_facet	Elfakhakhre, Nawara Rajab Fathullah
author_sort	Elfakhakhre, Nawara Rajab Fathullah
title	Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
title_short	Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
title_full	Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
title_fullStr	Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
title_full_unstemmed	Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
title_sort	stress intensity factor for cracks problems in an elastic half plane using singular integral equations
granting_institution	Universiti Putra Malaysia
publishDate	2018
url	http://psasir.upm.edu.my/id/eprint/83554/1/FS%202018%2098%20-%20ir.pdf
_version_	1747813396775960576

Stress intensity factor for cracks problems in an elastic half plane using singular integral equations

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