scholarly journals A notch root radius to attain minimum fracture loads in plates weakened by U-notches under Mode I loading

2012 ◽  
Vol 19 (3) ◽  
pp. 491-502 ◽  
Author(s):  
E. Barati ◽  
Y. Alizadeh
Keyword(s):  
Notch Root ◽  
Mode I ◽  
Root Radius ◽  
Notch Root Radius ◽  
Mode I Loading

A comparison between rapid expressions for evaluation of the critical J-integral in plates with U-notches under mode I loading

2011 ◽  
Vol 46 (8) ◽  
pp. 852-865 ◽  
Author(s):  
E Barati ◽  
F Berto
Keyword(s):  
Loading Condition ◽  
Control Volume ◽  
Notch Root ◽  
Critical Value ◽  
Fracture Load ◽  
Mode I ◽  
J Integral ◽  
Root Radius ◽  
Notch Root Radius ◽  
Mode I Loading

In this paper, some practical linear-elastic equations for evaluation of the critical value of the J-integral in plates with U-notches under mode I loading are presented and applied to brittle and quasi-brittle materials. The relationship between the J-integral and strain energy averaged over a well-defined control volume, depending on the static properties of the material, is applied, with the aim of obtaining the final expressions. It is found that these three proposed equations provide the same results, with any differences being negligible. By using one of these equations, one can evaluate Jcr and then predict the critical fracture load by means of the Jcr criterion. The results have shown that the critical value of the J-integral ( Jcr) is a function of the ratio of the material control radius to the notch-root radius ( Rc/ρ), the ratio of specimen width to notch depth ( w/ a), the notch acuity ( a/ρ), and the loading condition (tensile or bending loadings) in U-notches under mode I loading. However, the effect of the loading condition, a/ρ and w/ a ratios may be negligible. Therefore only the Rc/ρ ratio (i.e. the material properties and the notch-root radius of the specimen) affects Jcr.

The Mode I Elastic Stress Distribution Near the Root of a Deep Notch With a Parabolic Root Profile

2007 ◽  
Author(s):  
E. Smith
Keyword(s):  
Stress Distribution ◽  
Elastic Stress ◽  
Notch Root ◽  
Peak Stress ◽  
Fracture Initiation ◽  
Radius Of Curvature ◽  
Mode I ◽  
Mode Iii ◽  
Root Radius ◽  
Notch Root Radius

The basis of a fracture mechanics type methodology for fracture initiation at a blunt notch is the elastic stress distribution immediately ahead of a notch root. Earlier work, presented at the 2006 ASME PVP Conference [7], for the Mode III deformation of a deep notch with a parabolic root profile, has shown that the shear stress σ(x) at a distance x ahead of the root is uniquely defined by the peak stress σp, x and ρ (the notch root radius of curvature), when x and ρ are both small compared with the notch depth, irrespective of the loading characteristics and the notch shape away from the root. This paper is concerned with the corresponding Mode I deformation situation, with the objective of providing support for the viability of a similar conclusion for Mode I deformation.

Effect of notch root radius on stress intensity in mode I and mode III loading

1986 ◽  
Vol 17 (9) ◽  
pp. 1633-1637 ◽  
Author(s):  
R. E. Swanson ◽  
A. W. Thompson ◽  
I. M. Bernstein
Keyword(s):  
Stress Intensity ◽  
Notch Root ◽  
Mode I ◽  
Mode Iii ◽  
Root Radius ◽  
Notch Root Radius

Anomaly of Toughness Behavior with Notch-Root Radius

2009 ◽  
pp. 218-218-18
Author(s):  
KP Datta ◽  
WE Wood
Keyword(s):  
Notch Root ◽  
Root Radius ◽  
Notch Root Radius
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