Theoretical stress concentration factors for short flat tension bars with opposite U-shaped notches

2005 ◽  
Vol 40 (4) ◽  
pp. 345-355 ◽  
Author(s):  
C J Gomes ◽  
N Troyani ◽  
C Morillo ◽  
S Gregory ◽  
V Gerardo ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Stress Concentration ◽  
Graphical Form ◽  
Uniform Thickness ◽  
Uniform Tension ◽  
Extended Range ◽  
Transition Length ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Theoretical Stress

The values of the theoretical stress concentration factors for a number of geometries and loads are available in well-known publications. It is shown here that the reported existing results for the geometry treated herein do not account for the effect of the length of the members in the direction of the applied loads, and it is also shown that shorter lengths may have important effects on the magnitudes of the stress concentration factors, a concept widely used in fatigue applications. The finite-element-determined in-plane theoretical stress concentration factors for short rectangular uniform thickness plates, with opposite U-shaped notches, subjected to uniform tension, for the existing range of the notch radii values as well as for an extended range of these values are reported and are presented in the standard graphical form. Other types of boundary condition have been examined as well in this work with various influences on the stated factor. The transition length concept, the dividing threshold between long and short plates is revised, and the corresponding values are reported as well.

Theoretical stress concentration factors for short shouldered plates subjected to uniform tension

2003 ◽  
Vol 38 (2) ◽  
pp. 103-113 ◽  
Author(s):  
N Troyani ◽  
A Marín ◽  
H García ◽  
F Rodríguez ◽  
S Rodríguez ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Stress Concentration ◽  
Graphical Form ◽  
Uniform Thickness ◽  
Uniform Tension ◽  
Transition Length ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Theoretical Stress

The values of the theoretical stress concentration factors for a variety of geometries and loads are available in a number of well-known publications. It is shown in this work that the reported existing results neglect the length of the members in the direction of the applied loads, and it is also shown that shorter lengths may have very significant effects on the magnitudes of the stress concentration factors. The finite element determined in-plane theoretical stress concentration factors for uniform thickness short shouldered plates subjected to uniform tension at the wide end and held longitudinally at the narrow end, for practical ranges of the fillet radius values, are reported and are presented in the standard graphical form. For completeness, other types of boundary condition have also been examined in this work. The value of the transition length between long and short plates is reported as well.

Theoretical Stress Concentration Factors for Short Rectangular Plates With Centered Circular Holes

1999 ◽  
Vol 124 (1) ◽  
pp. 126-128 ◽  
Author(s):  
N. Troyani ◽  
C. Gomes ◽  
G. Sterlacci
Keyword(s):  
Stress Concentration ◽  
Rectangular Plates ◽  
The Finite Element Method ◽  
New Concepts ◽  
Circular Holes ◽  
Transition Length ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Theoretical Stress ◽  
Theoretical Stress Concentration Factor

This work shows that the theoretical stress concentration factor depends on the length of the member in addition to the established other standard geometric parameters. In particular, the in-plane theoretical stress concentration factors for short rectangular plates with centered circular holes subjected to uniform tension are determined using the finite element method. It is shown that these factors can reach significantly larger values than the corresponding existing ones for long plates. The value of the transition length between long and short plates is computed and reported as well. Two new concepts are defined, short members and transition length.

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.

Updated Stress Concentration Factors for Filleted Shafts in Bending and Tension

1996 ◽  
Vol 118 (3) ◽  
pp. 321-327 ◽  
Author(s):  
S. M. Tipton ◽  
J. R. Sorem ◽  
R. D. Rolovic
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Maximum Stress ◽  
Elastic Stress ◽  
Equivalent Stress ◽  
Graphical Form ◽  
Fatigue Crack Nucleation ◽  
Wide Range ◽  
Concentration Factors ◽  
Stress Concentration Factors

Published elastic stress concentration factors are shown to underestimate stresses in the root of a shoulder filleted shaft in bending by as much as 21 percent, and in tension by as much as forty percent. For this geometry, published charts represent only approximated stress concentration factor values, based on known solutions for similar geometries. In this study, detailed finite element analyses were performed over a wide range of filleted shaft geometries to define three useful relations for bending and tension loading: (1) revised elastic stress concentration factors, (2) revised elastic von Mises equivalent stress concentration factors and (3) the maximum stress location in the fillet. Updated results are presented in the familiar graphical form and empirical relations are fit through the curves which are suitable for use in numerical design algorithms. It is demonstrated that the first two relations reveal the full multiaxial elastic state of stress and strain at the maximum stress location. Understanding the influence of geometry on the maximum stress location can be helpful for experimental strain determination or monitoring fatigue crack nucleation. The finite element results are validated against values published in the literature for several geometries and with limited experimental data.

Dynamic Stress of a Circular Cavity Buried in a Semi-Infinite Functionally Graded Material Subjected to Shear Waves

2006 ◽  
Vol 74 (5) ◽  
pp. 916-922 ◽  
Author(s):  
Xue-qian Fang ◽  
Chao Hu ◽  
Shan-yi Du
Keyword(s):  
Boundary Condition ◽  
Stress Concentration ◽  
Functionally Graded Material ◽  
Dynamic Stress ◽  
Shear Waves ◽  
Functionally Graded ◽  
Circular Cavity ◽  
Graded Material ◽  
Concentration Factors ◽  
Stress Concentration Factors

The multiple scattering of shear waves and dynamic stress in a semi-infinite functionally graded material with a circular cavity is investigated, and the analytical solution of this problem is derived. The analytical solutions of wave fields are expressed by employing the wave function expansion method, and the expanded mode coefficients are determined by satisfying the boundary condition of the cavity. The image method is used to satisfy the traction-free boundary condition of the material structure. As an example, the numerical solution of the dynamic stress concentration factors around the cavity is also presented. The effects of the buried depth of the cavity, the incident wave number, and the nonhomogeneity parameter of materials on the dynamic stress concentration factors are analyzed. Analyses show that when the nonhomogeneity parameter of materials is <0, it has less influence on the maximum dynamic stress around the cavity; however, it has greater influence on the distribution of dynamic stress around the cavity. When the nonhomogeneity parameter of materials is >0, it has greater influence on both the maximum dynamic stress and the distribution of dynamic stress around the cavity, especially in the case that the buried depth is comparatively small.

Fatigue Reliability With Notch Effects for AISI 4130 and 1038 Steels

1975 ◽  
Vol 97 (1) ◽  
pp. 359-370 ◽  
Author(s):  
D. Kececioglu ◽  
J. D. Stultz ◽  
L. B. Chester ◽  
C. F. Nolf
Keyword(s):  
Stress Concentration ◽  
Notch Sensitivity ◽  
Fatigue Reliability ◽  
Fatigue Stress ◽  
Concentration Factors ◽  
Sensitivity Factors ◽  
Stress Concentration Factors ◽  
Notch Sensitivity Factors ◽  
Aisi 4130 ◽  
Theoretical Stress

Methodologies for developing distributional theoretical stress concentration factors, fatigue stress concentration factors, and notch sensitivity factors for circumferentially grooved, rotating AISI 4130 and AISI 1038, 3/8-in.-dia rods subjected to reversed bending are developed and the results are presented. The groove radii vary from 0.031 in. to 1.870 in., and the base diameters at the groove vary from 0.0937 in. to 0.2700 in. Two illustrative cases for designing such components to a specified life and reliability are given.

Sign in / Sign up

Export Citation Format

Share Document