Thermal Stresses in an Infinite Elastic Pipe Weakened by a Finite Cylindrical Crack

2003 ◽  
Vol 70 (4) ◽  
pp. 616-618 ◽  
Author(s):  
S. Itou
Keyword(s):  
Stress Intensity ◽  
Constant Temperature ◽  
Outer Surface ◽  
Stress Intensity Factors ◽  
Thermal Stresses ◽  
Axially Symmetric ◽  
Intensity Factors ◽  
Inner Surface ◽  
Cylindrical Crack

Axially symmetric thermal stresses in the vicinity of a finite cylindrical crack in an elastic pipe are calculated. The surfaces of the crack are assumed to be insulated. The outer surface of the pipe is heated so as to maintain a constant temperature Td, and the inner surface of the pipe is cooled so as to maintain a constant temperature Tb. Expressions developed by Sharma are used to solve the problem. Stress intensity factors are defined and calculated numerically for several configurations of the pipe.

scholarly journals The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem

2015 ◽  
Vol 20 (2) ◽  
pp. 345-372
Author(s):  
B. Rogowski
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic ◽  
Fundamental Solutions ◽  
Engineering Practice ◽  
Crack Plane ◽  
Axially Symmetric ◽  
Intensity Factors

Abstract The subject of the paper are Green’s functions for the stress intensity factors of modes I, II and III. Green’s functions are defined as a solution to the problem of an elastic, transversely isotropic solid with a penny-shaped or an external crack under general axisymmetric loadings acting along a circumference on the plane parallel to the crack plane. Exact solutions are presented in a closed form for the stress intensity factors under each type of axisymmetric ring forces as fundamental solutions. Numerical examples are employed and conclusions which can be utilized in engineering practice are formulated.

Three Dimensional Modeling of Inclined Surface Cracks in FGM Coatings

2009 ◽  
Vol 631-632 ◽  
pp. 109-114
Author(s):  
Sadik Kosker ◽  
Serkan Dag ◽  
Boray Yildirim
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Thermal Stresses ◽  
Three Dimensional ◽  
Transient Behavior ◽  
Correlation Technique ◽  
Mixed Mode Fracture ◽  
Intensity Factors ◽  
Parametric Analyses

This study presents a three dimensional finite element method for mixed-mode fracture analysis of an FGM coating-bond coat-substrate structure. The FGM coating is assumed to contain an inclined semi-elliptical crack at the free surface. The trilayer structure is examined under the effect of transient thermal stresses. Strain singularity around the crack front is simulated by utilizing collapsed wedge-shaped singular elements. The modes I, II and III stress intensity factors are computed by applying the displacement correlation technique and presented as a function of time. Four different FGM coating types are examined in the parametric analyses which are metal-rich, ceramic-rich, linear variation and homogeneous coatings. The results provided illustrate the influences of the FGM coating type and crack inclination angle on the transient behavior of the mixed-mode stress intensity factors.

A Green’s Function for the Stress-Intensity Factors of Edge Cracks and Its Application to Thermal Stresses

1969 ◽  
Vol 91 (4) ◽  
pp. 618-624 ◽  
Author(s):  
A. F. Emery ◽  
G. E. Walker ◽  
J. A. Williams
Keyword(s):  
Stress Intensity ◽  
Green’S Function ◽  
Green's Function ◽  
Stress Intensity Factors ◽  
Thermal Stresses ◽  
Rectangular Plates ◽  
Intensity Factors ◽  
Edge Cracks ◽  
Predicted Values ◽  
Transient Thermal

A Green’s function for the computation of stress-intensity factors for edge cracks in rectangular plates is given for any distribution of stress in the uncracked plate which is tensile over the crack length. The function is used to compute stress intensity factors for transient thermal stresses produced by sudden cooling of one edge. Experimentally measured stresses and stress-intensity factors are given and shown to be in good agreement with the predicted values.

Computation of Thermal Stress Intensity Factors for Bimaterial Interface Cracks Using Domain Integral Method

2009 ◽  
Vol 76 (4) ◽  
Author(s):  
Ratnesh Khandelwal ◽  
J. M. Chandra Kishen
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Body Force ◽  
Bimaterial Interface ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Domain Integral ◽  
Bimaterial Interface Crack

The concept of domain integral used extensively for J integral has been applied in this work for the formulation of J2 integral for linear elastic bimaterial body containing a crack at the interface and subjected to thermal loading. It is shown that, in the presence of thermal stresses, the Jk domain integral over a closed path, which does not enclose singularities, is a function of temperature and body force. A method is proposed to compute the stress intensity factors for bimaterial interface crack subjected to thermal loading by combining this domain integral with the Jk integral. The proposed method is validated by solving standard problems with known solutions.

Axially Symmetric Stress Distributions in Elastic Solids Containing Penny-Shaped Cracks Under Torsion

1975 ◽  
Vol 42 (4) ◽  
pp. 896-897 ◽  
Author(s):  
M. L. Pasha
Keyword(s):  
Stress Intensity ◽  
Integral Representation ◽  
Elastic Medium ◽  
Stress Intensity Factors ◽  
Representation Formula ◽  
Stress Distributions ◽  
Axially Symmetric ◽  
Intensity Factors ◽  
Elastic Solids ◽  
Integral Representation Formula

We present the axially symmetric stress distributions in elastic solids containing a pair of axially symmetric penny shaped cracks when the infinite elastic medium is kept under torsion. We derive the integral representation formula for the torsion function and the expressions for the stress-intensity factors.

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