Peak stresses near narrow rectangular notches, with rounded corners, subjected to tensile and shear loading

1993 ◽  
Vol 28 (1) ◽  
pp. 5-11 ◽  
Author(s):  
T H Hyde ◽  
A Yaghi
Keyword(s):  
Peak Stress ◽  
Shear Loading ◽  
Mode I ◽  
Mode Ii ◽  
Loading Conditions ◽  
Notch Width ◽  
Corner Radius ◽  
Specific Geometry ◽  
Stress Concentration Factors ◽  
Circular Notch

The finite element method is used to determine the peak stress for narrow rectangular notches, with rounded corners, for a range of notch width to corner radius ratios, under mode I, mode II, and mixed-mode loading conditions. It is shown that the specific geometry and loading conditions are unimportant and that the loading is conveniently characterized by the mode I and mode II stress-intensity factors for an equivalent crack. Superposition of peak stresses for mode I and mode II conditions allows the peak stress in a semi-circular notch to be obtained from simple equations describing the surface tangential stress distributions. A notch shape factor, which dependes only on the notch width to corner radius ratio and mode-mixity parameter, is then used to modify the peak stress values obtained for a semi-circular notch. The method provides a relatively cheap and efficient means of determining stress concentration factors for what can appear to be complex geometries and loading situations.

scholarly journals A 3D full‐field study of cracks in a nuclear graphite under mode I and mode II cyclic dwell loading conditions

2019 ◽  
Vol 43 (8) ◽  
pp. 1646-1657
Author(s):  
Tim Wigger ◽  
Bing Lin ◽  
Colin Lupton ◽  
James Marrow ◽  
Jie Tong
Keyword(s):  
Field Study ◽  
Mode I ◽  
Mode Ii ◽  
Loading Conditions ◽  
Full Field ◽  
Nuclear Graphite

Asymptotic Crack-Tip Fields in Perfectly Plastic Solids Under Mixed Mode II/III Loading Conditions

2006 ◽  
Vol 129 (4) ◽  
pp. 664-669
Author(s):  
J. Pan ◽  
P.-C. Lin
Keyword(s):  
Mixed Mode ◽  
Crack Tip ◽  
Shear Loading ◽  
Mode Ii ◽  
Pure Mode ◽  
Loading Conditions ◽  
Mode Iii ◽  
Plane Shear ◽  
Crack Tip Fields ◽  
Perfectly Plastic

In this paper, governing equations and solutions for asymptotic singular and nonsingular crack-tip sectors in perfectly plastic materials are first summarized under combined in-plane and out-of-plane shear loading conditions. The crack-tip fields under mixed mode II/III loading conditions are then investigated. An assembly of crack-tip sectors is adopted with stress discontinuities along the border of the two constant stress sectors. The solutions of the crack-tip fields under pure mode II, mixed mode II/III, and nearly pure mode III loading conditions are presented. The trends of the angular variations of the mixed mode II/III crack-tip stresses agree with those of the available computational analysis and the asymptotic analysis for low strain hardening materials. The pure mode II crack-tip stresses are similar to those of Hutchinson, and the nearly pure mode III stresses are similar to those of the pure mode III crack-tip field of Rice.

Asymptotic Crack-Tip Fields in Perfectly Plastic Solids Under Combined In-Plane and Out-of-Plane Shear Loading Conditions

2005 ◽  
Author(s):  
J. Pan
Keyword(s):  
Mixed Mode ◽  
Crack Tip ◽  
Shear Loading ◽  
Mode Ii ◽  
Pure Mode ◽  
Loading Conditions ◽  
Mode Iii ◽  
Plane Shear ◽  
Crack Tip Fields ◽  
Perfectly Plastic

In this paper, governing equations and solutions for asymptotic singular and non-singular crack-tip sectors in perfectly plastic materials are first summarized under combined in-plane and out-of-plane shear loading conditions. The crack-tip fields under mixed mode II/III loading conditions are then investigated. An assembly of crack-tip sectors is adopted with stress discontinuities along the border of the two constant stress sectors. The solutions of the crack-tip fields under pure mode II, mixed mode II/III, and nearly pure mode III loading conditions are presented. The trends of the angular variations of the mixed mode II/III crack-tip stresses agree with those of the available computational analysis and the asymptotic analysis for low strain hardening materials. The pure mode II crack-tip stresses are similar to those of Hutchinson and the nearly pure mode III stresses are similar to those of the pure mode III crack-tip field of Rice.

Development of damage in low-carbon steel under mode I and mode II loading conditions

2011 ◽  
Vol 2011 (9) ◽  
pp. 837-843
Author(s):  
L. R. Botvina ◽  
A. P. Soldatenkov ◽  
M. R. Tyutin
Keyword(s):  
Carbon Steel ◽  
Low Carbon Steel ◽  
Mode I ◽  
Mode Ii ◽  
Loading Conditions ◽  
Low Carbon ◽  
Mode Ii Loading

Mixed Mode I/III Crack-Tip Fields for Perfectly Plastic Mises Materials

2007 ◽  
Author(s):  
J. Pan
Keyword(s):  
Mixed Mode ◽  
Crack Tip ◽  
Shear Loading ◽  
Mode I ◽  
Pure Mode ◽  
Loading Conditions ◽  
Plane Shear ◽  
Tensile Stresses ◽  
Crack Tip Fields ◽  
Perfectly Plastic

In this paper, governing equations and solutions for asymptotic singular and non-singular crack-tip sectors in perfectly plastic Mises materials are first reviewed under combined in-plane and out-of-plane shear loading conditions. The crack-tip fields under mixed mode I/III loading conditions are then investigated. One assembly of four crack-tip plastic sectors is adopted with stress discontinuities along the border of two constant stress sectors. The solutions of the crack-tip fields under pure mode I and mixed mode I/III loading conditions are presented. The crack-tip fields under pure mode I and mixed mode I/III loading conditions give fully-plastic solutions with various hydrostatic tensile stresses ahead of the crack tip. The characteristics of the mode I limits of fully plastic crack-tip fields with different hydrostatic tensile stresses ahead of the crack tip agree well the past computational results under pure mode I with different constraint conditions.

Fracture of a low-carbon steel under mode I, mode II, and mixed-mode loading conditions

2013 ◽  
Vol 2013 (10) ◽  
pp. 751-759
Author(s):  
A. P. Soldatenkov ◽  
L. R. Botvina ◽  
M. R. Tyutin ◽  
V. P. Levin ◽  
N. A. Zharkova
Keyword(s):  
Carbon Steel ◽  
Mixed Mode ◽  
Low Carbon Steel ◽  
Mode I ◽  
Mode Ii ◽  
Loading Conditions ◽  
Low Carbon ◽  
Mixed Mode Loading

Computational Analysis of the AFM Specimen on Mixed-Mode II and III Fracture

2010 ◽  
Vol 452-453 ◽  
pp. 173-176 ◽  
Author(s):  
Qing Fen Li ◽  
Li Zhu ◽  
Friedrich G. Buchholz ◽  
Sheng Yuan Yan
Keyword(s):  
Mixed Mode ◽  
Strain Energy Release ◽  
Shear Loading ◽  
Mode Ii ◽  
Loading Conditions ◽  
Mode Iii ◽  
Plane Shear ◽  
Loading Mode ◽  
Out Of Plane ◽  
Global Deformation

Some results of 3D finite element analyses of the all fracture modes (AFM) specimen on mixed-mode II and III fracture are presented in this paper. The computational fracture analysis is based on the calculation of separated strain energy release rates (SERRs) along the crack front by the modified virtual crack closure integral (MVCCI)-method and the commercially available FE-code ANSYS. Calculation results show that under pure in-plane shear loading (mode II), not only the mode II, but also the mode III loading conditions, are generated owing to the Poission’s ratio effects. Similarly, under pure out-of-plane shear loading (mode III), besides the mode III, the mode II loading conditions are induced due to the global deformation. Nevertheless, once in-plane and out-of-plane shear loadings are superimposed, the fracture behavior appears more complex. Further discussion is given associate with some previous study.

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