Stress analysis and the interaction between hole and straight crack in plane elasticity.

Using complex variable methods, some criteria for homothetic transformation and rotation in an in¯nite plane elasticity are established. Maclaurin series is used to analyze the stresses when the pressure exerted on half plane is of the class L1(¡1;1). A vibration pressure on the edge of half plane i...

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Main Author:	Yaghobifar, Mohammad
Format:	Thesis
Language:	English English
Published:	2011
Subjects:	Strains and stresses Elasticity - Mathematics
Online Access:	http://psasir.upm.edu.my/id/eprint/26972/1/FS%202011%2080R.pdf
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id	my-upm-ir.26972
record_format	uketd_dc
spelling	my-upm-ir.269722022-01-26T05:42:17Z Stress analysis and the interaction between hole and straight crack in plane elasticity. 2011-03 Yaghobifar, Mohammad Using complex variable methods, some criteria for homothetic transformation and rotation in an in¯nite plane elasticity are established. Maclaurin series is used to analyze the stresses when the pressure exerted on half plane is of the class L1(¡1;1). A vibration pressure on the edge of half plane is also considered and the stresses at every point on the half plane is obtained. The problems of two dimensional hole subjected to in¯nite plane elasticity are considered. These mechanical problems can be written in terms of mathematical boundary value problems. The holes are mapped onto a unit circle by a rational function, then the relevant boundary value problems are solved using modified complex potential (MCP). Analytical results for the stress intensity factor and displacement functions for hypocycloid holes are presented. A circular hole in in¯nite plane elasticity with a single straight crack outside the circle is considered. Crack opening displacement and stress intensity factor for the mentioned crack are found. Family of hypocycloid hole is considered in an in¯nite plane elasticity. The stress intensity factor at the cusp points and the displacement functions are obtained. Then a straight crack is considered outside of the hypocycloid hole. Stresses are obtained at every point outside the hole using the two Muskhelishvili complex potentials. Strains and stresses Elasticity - Mathematics 2011-03 Thesis http://psasir.upm.edu.my/id/eprint/26972/ http://psasir.upm.edu.my/id/eprint/26972/1/FS%202011%2080R.pdf application/pdf en public doctoral Universiti Putra Malaysia Strains and stresses Elasticity - Mathematics Faculty of Science English
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English English
topic	Strains and stresses Elasticity - Mathematics
spellingShingle	Strains and stresses Elasticity - Mathematics Yaghobifar, Mohammad Stress analysis and the interaction between hole and straight crack in plane elasticity.
description	Using complex variable methods, some criteria for homothetic transformation and rotation in an in¯nite plane elasticity are established. Maclaurin series is used to analyze the stresses when the pressure exerted on half plane is of the class L1(¡1;1). A vibration pressure on the edge of half plane is also considered and the stresses at every point on the half plane is obtained. The problems of two dimensional hole subjected to in¯nite plane elasticity are considered. These mechanical problems can be written in terms of mathematical boundary value problems. The holes are mapped onto a unit circle by a rational function, then the relevant boundary value problems are solved using modified complex potential (MCP). Analytical results for the stress intensity factor and displacement functions for hypocycloid holes are presented. A circular hole in in¯nite plane elasticity with a single straight crack outside the circle is considered. Crack opening displacement and stress intensity factor for the mentioned crack are found. Family of hypocycloid hole is considered in an in¯nite plane elasticity. The stress intensity factor at the cusp points and the displacement functions are obtained. Then a straight crack is considered outside of the hypocycloid hole. Stresses are obtained at every point outside the hole using the two Muskhelishvili complex potentials.
format	Thesis
qualification_level	Doctorate
author	Yaghobifar, Mohammad
author_facet	Yaghobifar, Mohammad
author_sort	Yaghobifar, Mohammad
title	Stress analysis and the interaction between hole and straight crack in plane elasticity.
title_short	Stress analysis and the interaction between hole and straight crack in plane elasticity.
title_full	Stress analysis and the interaction between hole and straight crack in plane elasticity.
title_fullStr	Stress analysis and the interaction between hole and straight crack in plane elasticity.
title_full_unstemmed	Stress analysis and the interaction between hole and straight crack in plane elasticity.
title_sort	stress analysis and the interaction between hole and straight crack in plane elasticity.
granting_institution	Universiti Putra Malaysia
granting_department	Faculty of Science
publishDate	2011
url	http://psasir.upm.edu.my/id/eprint/26972/1/FS%202011%2080R.pdf
_version_	1747811563198218240

Stress analysis and the interaction between hole and straight crack in plane elasticity.

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