Stress distribution in a tension specimen notched on one edge

1969 ◽  
Vol 4 (1) ◽  
pp. 27-31 ◽  
Author(s):  
J R Dixon ◽  
J S Strannigan ◽  
J McGregor
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Notch Depth ◽  
Tension Specimen ◽  
Single Crack ◽  
Specimen Width ◽  
Concentration Factors ◽  
Stress Concentration Factors

The stress distribution in a tension specimen notched on one edge was obtained photoelastically for several ratios of notch depth to specimen width. The stress-concentration factors agreed well with corresponding values derived from Neuber's theory of notch stresses. It was also shown that the stress-intensity factor for a tension specimen with a single crack on one edge, obtained by the collocation method, agreed well with that deduced from Neuber's theory.

Numerical solution of plane elastostatic problems by point matching

1968 ◽  
Vol 3 (2) ◽  
pp. 109-114 ◽  
Author(s):  
C J Hooke
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Numerical Solution ◽  
Point Matching ◽  
Matching Technique ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Plane Elastic Problems

A description of the point-matching technique and of its application to the solution of plane elastic problems is presented. The technique is then used to evaluate the stress distribution in a number of plane elastic problems, and the accuracy of the point-matching technique is assessed by comparing the results obtained with those obtained by other methods. Finally, the technique is used to calculate the stress-concentration factors for a bar, with two symmetrically placed U-shaped notches, loaded in tension.

The Influence of the Path of Corner Gussets Weld Seam over the Stress Concentration Factors of the Tubular T Joints

2015 ◽  
Vol 1111 ◽  
pp. 67-72
Author(s):  
Gabriel Dima ◽  
Ion Balcu
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Dynamic Behaviour ◽  
Weld Seam ◽  
Fe Model ◽  
Weight Saving ◽  
Different Types ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Model Approach

The joints of the tubular welded structures are stiffened with gussets in order to decrease the stress concentration factors and to increase the rigidity. The experience from field concluded that the tangent placed gussets bring the biggest improvement to the fatigue and dynamic behaviour as well as the weight saving of joints. The path of the weld seam influences the stress distribution in the joint members, gusset and in the weld itself. The paper proposes different types of weld ending path to investigate the changes in the stress distribution in all components of the joint. Using the FE analysis, the stress concentration factors were determined in three load cases. Both the numerical and preliminary experimental results indicated different joint behaviours according to the loading type. An assessment of the proposed weld paths was done, together with FE model approach and design recommendations.

Stress concentration factors around the intersection of two cylindrical holes in an infinite elastic body

1977 ◽  
Vol 12 (3) ◽  
pp. 217-222 ◽  
Author(s):  
C J Hooke ◽  
G Demunshi
Keyword(s):  
Approximate Solution ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Elastic Body ◽  
The Body ◽  
Isotropic Elastic Body ◽  
Uniform Tension ◽  
Cylindrical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

The paper presents an approximate solution for the stress distribution around two cylindrical holes intersecting at right angles in an infinite homogeneous, isotropic, elastic body, when the body is subjected to uniform tension at an infinite distance from the holes. Stress concentration factors for a range of ratios of the hole radii are presented, both for the case when the two holes are infinitely long and for when the smaller hole is semi-infinite.

scholarly journals Stress analysis of V-notches with and without cracks, with application to foreign object damage

2003 ◽  
Vol 38 (5) ◽  
pp. 429-441 ◽  
Author(s):  
D Nowell ◽  
D Dini ◽  
P Duó
Keyword(s):  
Stress Intensity ◽  
Stress Concentration ◽  
Fatigue Cracks ◽  
Leading Edge ◽  
Foreign Object ◽  
Foreign Object Damage ◽  
Hard Particles ◽  
Notch Stress ◽  
Concentration Factors ◽  
Stress Concentration Factors

Gas turbine engines can be subject to ingestion of small hard particles, leading to foreign object damage. This can take the form of sharp V-notches in the leading edge of blades and there is a need to predict the initiation and propagation behaviour of fatigue cracks growing from the base of the notch. The notch geometry is quite extreme and is not normally covered in standard references for notch stress concentration factors. Similarly, stress intensity factor solutions for this geometry are not widely available. This paper uses the dislocation density approach to solve the two-dimensional elastic problem of a V-notch with a radiused root. Stress concentration factors are found for the notch itself, and stress intensity factors are determined for cracks growing away from the notch for cases of applied and residual stress distributions. Comparisons are made with existing notch solutions from the literature.

Analysis of stress concentration factors for stepped plates based on a crack tip stress intensity approach

1996 ◽  
Vol 31 (3) ◽  
pp. 197-204 ◽  
Author(s):  
T G F Gray ◽  
F Tournery ◽  
J Spence
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Stress Concentration ◽  
Crack Tip ◽  
Finite Width ◽  
Sharp Corner ◽  
Wide Range ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Crack Tip Stress

The analytical equations given for stress concentration factors are based on the results of finite element analysis of stepped plates subject to uniaxial tension loading. The fillet radii at the stepped transitions were varied over a wide range, leading to elastic stress concentration factors between 1.1 and 8.3 (net stress basis). The parametric equations depend on the previously described concept of a ‘notch configuration factor’. This is similar to the crack configuration factor or compliance function used to modify the basic crack tip stress intensity solutions in the case of finite width or other problems. In the present case of the stepped plate, an energy approach was used to relate the sharp corner stress field to the corresponding sharp crack field, leading to a ‘sharp corner configuration factor’. This factor was then applied to the equation for the stress concentration factor at an elliptical hole in an infinite plate, to give a simple analytical expression for the stepped plate with a radiused fillet. The basic expression was refined further to improve the quality of fit, to an accuracy of 2 per cent with respect to the finite element models.

Neuber’s rule accounting for the material nonlinearity influence on the stress concentration of the laminated composites

2016 ◽  
Vol 36 (3) ◽  
pp. 214-225 ◽  
Author(s):  
Fathollah Taheri-Behrooz ◽  
Nima Bakhshi
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Material Nonlinearity ◽  
Maximum Deviation ◽  
Linear Solution ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Neuber's Rule

Since holes comprise the necessary features of many structural components, a comprehensive understanding of the behavior of composite plates containing an open hole is a crucial step in their design process. In the present manuscript, an extensive numerical study has been conducted in order to investigate the effects of material nonlinearity on the stress distribution and stress concentration factors in unidirectional and laminated composite materials. To attain this objective, various models with different configurations were studied. In unidirectional composites, the maximum deviation of stress distribution around the hole (from the linear solution) happens in 45° lamina in which includes a high level of shear stress. However, the maximum difference in the stress concentration factor occurs in 15° lamina and is 15.1% at the onset of failure. In composite laminates, the maximum deviation of nonlinear stress concentration factor from the linear solution is reported 24.3% and it occurs in [+45/−45] s laminate. In the last section, Neuber’s rule is employed to find the stress concentration factors of the laminated composites, with a reasonable accuracy.

scholarly journals Effect of Cosserats' couple-stresses on the stress distribution in a semi-infinite medium with varying modulus of elasticity

1966 ◽  
Vol 6 (2) ◽  
pp. 157-171 ◽  
Author(s):  
Gunadhar Paria
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Elastic Property ◽  
Exponential Type ◽  
Modulus Of Elasticity ◽  
Infinite Medium ◽  
Couple Stresses ◽  
Cartesian System ◽  
Concentration Factors ◽  
Stress Concentration Factors

SummaryThe theory of Cosserats' couple-stresses is briefly described in a cartesian system of coordinates, and is applied to the problem of stress distribution in a semi-infinite medium which possesses a non-homogeneous elastic property of an exponential type. Effects of couple-stresses on the stress concentration factors are determined both in homogeneous and non-homogeneous materials.

Dynamic Anti-Plane Behavior of the Interaction Between a Crack and a Circular Cavity in a Piezoelectric Medium

2006 ◽  
Vol 324-325 ◽  
pp. 29-32 ◽  
Author(s):  
Tian Shu Song ◽  
Hong Liang Li ◽  
Jung Qiang Dong
Keyword(s):  
Stress Intensity ◽  
Stress Concentration ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Piezoelectric Medium ◽  
Circular Cavity ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Concentration Factors ◽  
Stress Concentration Factors

In this paper, the dynamic interaction is investigated theoretically between a crack and a circular cavity in an infinite piezoelectric medium under time-harmonic incident anti-plane shearing. The formulations are based on the method of complex variable and Green’s function. The resulting dynamic stress intensity factors at the crack’s tip and dynamic stress concentration factors at the cavity’s edge are obtained with crack-division technique. Numerical results are plotted to show how the frequencies of incident wave, the piezoelectric characteristic parameters of the material and the geometry of the crack and the circular cavity influence upon the dynamic stress intensity factors and dynamic stress concentration factors.

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