The Evaluation of the Stress Intensity Factors for Cracks Subjected to Tension, Torsion, and Flexure by an Efficient Numerical Technique

1972 ◽  
Vol 94 (2) ◽  
pp. 387-393 ◽  
Author(s):  
A. F. Emery ◽  
C. M. Segedin
Keyword(s):  
Stress Intensity ◽  
Plane Strain ◽  
Stress Intensity Factors ◽  
Numerical Technique ◽  
Efficient Computation ◽  
Intensity Factors ◽  
Hollow Cylinders ◽  
High Degree

A numerical technique for the efficient computation of singular states of stress is developed and applied to several plane strain elastic problems. The method which extracts the effect of the singularity from the field permits the use of relatively coarse nodal meshes with rapid solution times but maintains a high degree of accuracy. Using this technique, stress intensity factors are calculated for the torsion and flexure of solid and hollow cylinders and the internal pressurization of cylinders of varying thicknesses.

scholarly journals Analytical Solution of a Crack Problem in a Radially Graded FGM

2009 ◽  
Vol 631-632 ◽  
pp. 115-120
Author(s):  
Suat Çetin ◽  
Suat Kadıoğlu
Keyword(s):  
Stress Intensity ◽  
Plane Strain ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Approximate Model ◽  
Plane Elasticity ◽  
Functionally Graded ◽  
Homogeneous Layer ◽  
Intensity Factors ◽  
Functionally Graded Layer

The objective of this study is to determine stress intensity factors (SIFs) for a crack in a functionally graded layer bonded to a homogeneous substrate. Functionally graded coating contains an edge crack perpendicular to the interface. It is assumed that plane strain conditions prevail and the crack is subjected to mode I loading. By introducing an elastic foundation underneath the homogeneous layer, the plane strain problem under consideration is used as an approximate model for an FGM coating with radial grading on a thin walled cylinder. The plane elasticity problem is reduced to the solution of a singular integral equation. Constant strain loading is considered. Stress intensity factors are obtained as a function of crack length, strip thicknesses, foundation modulus, and inhomogeneity parameter.

scholarly journals Weight Functions and Stress Intensity Factors for Axial Cracks in Hollow Cylinders

1994 ◽  
Vol 116 (4) ◽  
pp. 423-430 ◽  
Author(s):  
C.-C. Ma ◽  
J.-I. Huang ◽  
C.-H. Tsai
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Weight Function ◽  
Stress Intensity Factors ◽  
Function Method ◽  
Weight Functions ◽  
Intensity Factors ◽  
Arbitrary Loading ◽  
Hollow Cylinders

In this study, stress intensity factors for axial cracks in hollow cylinders subjected to mechanical and thermal loadings are determined by using the weight function method. The weight function is a universal function for a given cracked body and can be obtained from any arbitrary loading system. The weight function may be thought of as Green’s function for the stress intensity factor of cracked bodies. Once the weight function for a cracked body is determined, the stress intensity factor for any arbitrary loading can be simply and efficiently evaluated through the integration of the product of the loading and weight function. A numerical method for the determination of weight functions relevant to cracked bodies with finite dimensions is used. Results for weight functions covering a wide range of hollow cylinder geometries are presented in functional or graphical form. The explicit crack face weight functions for applying mechanical loadings are obtained by using the least-squares fitting procedure. As a demonstration, some examples of special loading problems are solved by the weight function method, and the results are compared with available results in the published literature.

scholarly journals Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Chia-Huei Tu ◽  
Jia-Jyun Dong ◽  
Chao-Shi Chen ◽  
Chien-Chung Ke ◽  
Jyun-Yong Jhan ◽  
...  
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Stress Intensity Factors ◽  
Numerical Technique ◽  
Intensity Factors ◽  
Straight Crack ◽  
Linear Elastic ◽  
Elastic Fracture ◽  
Anisotropic Bimaterials

This paper presents a 2D numerical technique based on the boundary element method (BEM) for the analysis of linear elastic fracture mechanics (LEFM) problems on stress intensity factors (SIFs) involving anisotropic bimaterials. The most outstanding feature of this analysis is that it is a singledomain method, yet it is very accurate, efficient, and versatile (i.e., the material properties of the medium can be anisotropic as well as isotropic). A computer program using the BEM formula translation (FORTRAN 90) code was developed to effectively calculate the stress intensity factors (SIFs) in an anisotropic bi-material. This BEM program has been verified and showed good accuracy compared with the previous studies. Numerical examples of stress intensity factor calculation for a straight crack with various locations in both finite and infinite bimaterials are presented. It was found that very accurate results can be obtained using the proposed method, even with relatively simple discretization. The results of the numerical analysis also show that material anisotropy can greatly affect the stress intensity factor.

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.

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