Solving crack problems in bonded dissimilar materials using hypersingular integral equations

Inclined or circular arc cracks problems and thermally insulated inclined or circular arc cracks problems subjected to remote stress in bonded dissimilar materials are formulated. The modified complex variable function method with the continuity conditions of the resultant force and displacement...

Full description

Saved in:

Bibliographic Details
Main Author:	Hamzah, Khairum
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Fracture mechanics Elasticity - Mathematics Finite element method
Online Access:	http://psasir.upm.edu.my/id/eprint/90880/1/IPM%202020%205%20-%20IR.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-upm-ir.90880
record_format	uketd_dc
spelling	my-upm-ir.908802021-10-01T02:02:47Z Solving crack problems in bonded dissimilar materials using hypersingular integral equations 2019-11 Hamzah, Khairum Inclined or circular arc cracks problems and thermally insulated inclined or circular arc cracks problems subjected to remote stress in bonded dissimilar materials are formulated. The modified complex variable function method with the continuity conditions of the resultant force and displacement function are used to formulate the hypersingular integral equations (HSIEs) for these problems. Whereas, the continuity condition of heat conduction function is utilized to formulate the HSIEs for the thermally insulated cracks problems. The unknown crack opening displacement (COD) function is mapped into the square root singularity function using the curved length coordinate method. Then the appropriate quadrature formulas are used to solve the obtained equations numerically, with the traction along the crack as the right hand term. The obtained COD function is then used to compute the stress intensity factors (SIF) in order to determine the stability behavior of bodies or materials containing cracks or flaws. Numerical results of the nondimensional SIF at all the cracks tips are presented. Our results are totally in good agreements with those of the previous works. It is observed that the nondimensional SIF at the cracks tips depend on the remote stress, the elastic constants ratio, the crack geometries, the distance between each cracks and the distance between the crack and the boundary. Whereas for thermally insulated cracks, the nondimensional SIF at the cracks tips depend on the heat conductivity ratio and the thermal expansion coefficients ratio. Fracture mechanics Elasticity - Mathematics Finite element method 2019-11 Thesis http://psasir.upm.edu.my/id/eprint/90880/ http://psasir.upm.edu.my/id/eprint/90880/1/IPM%202020%205%20-%20IR.pdf text en public doctoral Universiti Putra Malaysia Fracture mechanics Elasticity - Mathematics Finite element method Nik Long, Nik Mohd Asri
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
advisor	Nik Long, Nik Mohd Asri
topic	Fracture mechanics Elasticity - Mathematics Finite element method
spellingShingle	Fracture mechanics Elasticity - Mathematics Finite element method Hamzah, Khairum Solving crack problems in bonded dissimilar materials using hypersingular integral equations
description	Inclined or circular arc cracks problems and thermally insulated inclined or circular arc cracks problems subjected to remote stress in bonded dissimilar materials are formulated. The modified complex variable function method with the continuity conditions of the resultant force and displacement function are used to formulate the hypersingular integral equations (HSIEs) for these problems. Whereas, the continuity condition of heat conduction function is utilized to formulate the HSIEs for the thermally insulated cracks problems. The unknown crack opening displacement (COD) function is mapped into the square root singularity function using the curved length coordinate method. Then the appropriate quadrature formulas are used to solve the obtained equations numerically, with the traction along the crack as the right hand term. The obtained COD function is then used to compute the stress intensity factors (SIF) in order to determine the stability behavior of bodies or materials containing cracks or flaws. Numerical results of the nondimensional SIF at all the cracks tips are presented. Our results are totally in good agreements with those of the previous works. It is observed that the nondimensional SIF at the cracks tips depend on the remote stress, the elastic constants ratio, the crack geometries, the distance between each cracks and the distance between the crack and the boundary. Whereas for thermally insulated cracks, the nondimensional SIF at the cracks tips depend on the heat conductivity ratio and the thermal expansion coefficients ratio.
format	Thesis
qualification_level	Doctorate
author	Hamzah, Khairum
author_facet	Hamzah, Khairum
author_sort	Hamzah, Khairum
title	Solving crack problems in bonded dissimilar materials using hypersingular integral equations
title_short	Solving crack problems in bonded dissimilar materials using hypersingular integral equations
title_full	Solving crack problems in bonded dissimilar materials using hypersingular integral equations
title_fullStr	Solving crack problems in bonded dissimilar materials using hypersingular integral equations
title_full_unstemmed	Solving crack problems in bonded dissimilar materials using hypersingular integral equations
title_sort	solving crack problems in bonded dissimilar materials using hypersingular integral equations
granting_institution	Universiti Putra Malaysia
publishDate	2019
url	http://psasir.upm.edu.my/id/eprint/90880/1/IPM%202020%205%20-%20IR.pdf
_version_	1747813662298472448

Solving crack problems in bonded dissimilar materials using hypersingular integral equations

Similar Items