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Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method

Electronic Theses of Indian Institute of Science

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Title Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method
 
Creator Koushik, S
 
Subject Stress Concentration Factor (SCF)
Stress Intensity Factor (SIF)
Semi-Circular Edge Notch
Semi-Infinite Domain
Mechanical Engineering
 
Description The presence of notches or cracks causes stresses to amplify in nearby regions. This phenomenon is studied by estimating the Stress Concentration Factor (SCF) for notches, and the Stress Intensity Factor (SIF) for cracks. In the present work, a semi-analytical method under the framework of linear elasticity is developed to give an estimate of these factors, particularly for cracks and notches in finite domains. The solution technique consists of analytically deriving a characteristic equation based on the general solution and homogeneous boundary conditions, and then using the series form of the reduced solution involving the (possibly complex-valued) roots of this characteristic equation to satisfy the remaining non-homogeneous boundary conditions. This last step has to be carried out numerically using, say, a weighted residual method. In contrast to infinite domain problems where a fully analytical solution is often possible, the presence of more boundaries, and a variety in configurations, makes the solution of finite do-main problems much more challenging compared to infinite domain ones, and these challenges are addressed in this work. The method is demonstrated on several classical and new problems including the problems of a semi-circular edge notch in a semi-infinite and finite plate, an elliptical hole in a plate, an edge-crack in a finite plate etc.
 
Contributor Jog, C S
 
Date 2018-05-29T14:48:54Z
2018-05-29T14:48:54Z
2018-05-29
2017
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/2005/3632
http://etd.iisc.ernet.in/abstracts/4502/G28479-Abs.pdf
 
Language en_US
 
Relation G28479