Determination of Stress Intensity Factors for Partial Penetration Axial Cracks in Thin-Walled Cylinders

1986 ◽  
Vol 108 (2) ◽  
pp. 83-86 ◽  
Author(s):  
Weili Cheng ◽  
Iain Finnie
Keyword(s):  
Stress Intensity ◽  
Hoop Stress ◽  
Numerical Solutions ◽  
Stress Distributions ◽  
Intensity Factors ◽  
Axial Crack ◽  
Thin Walled ◽  
Walled Cylinder ◽  
Good Agreement

An approach based on the use of rotation and displacement solutions for a cracked element in plane strain is used to obtain the stress intensity factor for a long axial crack in a thin-walled cylinder. The hoop stress distribution in the cylinder prior to introduction of the crack is arbitrary. Results obtained with this approach are in good agreement with numerical solutions for several hoop stress distributions.

Weight Functions for an External Longitudinal Semi-Elliptical Surface Crack in a Thick-Walled Cylinder

1997 ◽  
Vol 119 (1) ◽  
pp. 74-82 ◽  
Author(s):  
A. Kiciak ◽  
G. Glinka ◽  
D. J. Burns
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Surface Crack ◽  
Complex Stress ◽  
Weight Functions ◽  
Stress Distributions ◽  
Intensity Factors ◽  
Reference Stress ◽  
Pressurized Cylinder ◽  
Walled Cylinder

Mode I weight functions were derived for the deepest and surface points of an external radial-longitudinal semi-elliptical surface crack in a thick-walled cylinder with the ratio of the internal radius to wall thickness, Ri/t = 1.0. Coefficients of a general weight function were found using the method of two reference stress intensity factors for two independent stress distributions, and from properties of weight functions. Stress intensity factors calculated using the weight functions were compared to the finite element data for several different stress distributions and to the boundary element method results for the Lame´ hoop stress in an internally pressurized cylinder. A comparison to the ASME Pressure Vessel Code method for deriving stress intensity factors was also made. The derived weight functions enable simple calculations of stress intensity factors for complex stress distributions.

Stress Distributions for a Quarter Plane Containing an Arbitrarily Oriented Crack

1983 ◽  
Vol 50 (1) ◽  
pp. 43-49 ◽  
Author(s):  
L. M. Keer ◽  
J. C. Lee ◽  
T. Mura
Keyword(s):  
Stress Intensity ◽  
Singular Integral ◽  
Numerical Solutions ◽  
Singular Integral Equations ◽  
Integral Transforms ◽  
Stress Distributions ◽  
Intensity Factors ◽  
Quarter Plane ◽  
Dislocation Densities ◽  
Arbitrarily Oriented Crack

A solution for an elastic quarter plane containing an arbitrarily oriented crack is presented. The problem is formulated by means of Mellin integral transforms and reduced to a system of two coupled singular integral equations where the unknown quantities are the dislocation densities that characterize the crack. Numerical solutions are investigated for various orientations of the cracks. In each case the stress intensity factors are computed for the different parameters.

Crack growth pattern prediction in a thin walled cylinder based on closed form thermo-elastic stress intensity factors

2017 ◽  
Vol 31 (4) ◽  
pp. 1603-1610 ◽  
Author(s):  
Mohammad Abbaspour Niasani ◽  
Rahmatollah Ghajar ◽  
Hamed Saeidi Googarchin ◽  
Seyed Mohammad Hossein Sharifi
Keyword(s):  
Stress Intensity ◽  
Closed Form ◽  
Crack Growth ◽  
Stress Intensity Factors ◽  
Growth Pattern ◽  
Elastic Stress ◽  
Intensity Factors ◽  
Thin Walled ◽  
Walled Cylinder ◽  
Pattern Prediction

Fracture Analysis of a Semi-Elliptical Surface Crack in Hollow Cylinders

2015 ◽  
Vol 764-765 ◽  
pp. 1175-1179
Author(s):  
Shiuh Chuan Her ◽  
Hao Hsi Chang
Keyword(s):  
Stress Intensity ◽  
Weight Function ◽  
Stress Intensity Factors ◽  
Surface Crack ◽  
Surface Cracks ◽  
Stress Distributions ◽  
Intensity Factors ◽  
Wide Range ◽  
Hollow Cylinders ◽  
Good Agreement

In this investigation, the weight function method was employed to calculate the stress intensity factors for semi-elliptical surface crack in a hollow cylinder. An uniform stress and a linear stress distributions were used as the two references to determine the weight function. The weight function was then applied to a wide range of semi-elliptical surface cracks subjected to non-linear loadings. The stress intensity factors obtained by the weight function were compared with literature results. Good agreement demonstrates the accuracy of the present approach.

scholarly journals Stress intensity factors for multiple cracks in thick-walled cylinder

2015 ◽  
Vol 3 (2) ◽  
pp. 207
Author(s):  
Krunal G. Girase ◽  
Navneet K. Patil ◽  
Dinesh Shinde ◽  
Kanak Kalita
Keyword(s):  
Stress Intensity ◽  
Crack Size ◽  
Diameter Ratio ◽  
Multiple Cracks ◽  
Intensity Factors ◽  
Structural Geometry ◽  
Linear Elastic ◽  
Elastic Fracture ◽  
Walled Cylinder ◽  
Good Agreement

<p>The stress intensity factor (SIF) is the linear elastic fracture mechanics parameter that relates remote load, crack size and structural geometry. It predicts very accurately the stress state. In this work, cylinders with multiple cracks are considered. The following parameters are varied during the analysis of the cylinders: the number of cracks, (the variation in number of cracks ultimately led to a variation in the inter-crack spacing), the crack length to cylinder thickness ratio (a/t), the diameter ratio of the cylinders. Very good agreement between the finite element stresses and the theoretical stresses is seen.</p>

On the Prediction of Stress Intensity Factors for Axisymmetric Cracks in Thin-Walled Cylinders From Plane Strain Solutions

1985 ◽  
Vol 107 (3) ◽  
pp. 227-231 ◽  
Author(s):  
Weili Cheng ◽  
Iain Finnie
Keyword(s):  
Stress Intensity ◽  
Stress Distribution ◽  
Plane Strain ◽  
Numerical Solutions ◽  
Axial Stress ◽  
Stress Fields ◽  
Intensity Factors ◽  
Thin Walled ◽  
Axial Stress Distribution ◽  
Axisymmetric Cracks

It is shown that stress intensity solutions for axisymmetric cracks in thin-walled cylinders may be obtained for any prescribed axial stress distribution from plane strain solutions. This approach is illustrated by comparing solutions for internal circumferential cracks in several axial stress fields with numerical solutions for axisymmetric cracks. It may also be applied to external axisymmetric cracks.

scholarly journals Determination of the Enhancement or Shielding Interaction between Two Parallel Cracks under Fatigue Loading

Materials ◽  
2019 ◽  
Vol 12 (8) ◽  
pp. 1331 ◽  
Author(s):  
Zhichao Han ◽  
Caifu Qian ◽  
Lanqing Tang ◽  
Huifang Li
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Fatigue Loading ◽  
304 Stainless Steel ◽  
Shielding Effect ◽  
Stress Distributions ◽  
Intensity Factors ◽  
Parallel Cracks ◽  
Two Parallel Cracks

In this paper, the interactions between two parallel cracks are investigated experimentally and numerically. Finite element models have been established to obtain the stress intensity factors and stress distributions of the parallel cracks with different positions and sizes. Fatigue crack growth tests of 304 stainless steel specimens with the single crack and two parallel cracks have been conducted to confirm the numerical results. The numerical analysis results indicate that the interactions between the two parallel cracks have an enhancement or shielding effect on the stress intensity factors, depending on the relative positions of the cracks. The criterion diagram to determine the enhancement or shielding effect between two parallel cracks is obtained. The changes of the stress fields around the cracks have been studied to explain the mechanism of crack interactions.

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