The J-Integral for a Single-Edge Cracked Panel Subjected to Combined Remote Tension and Bending

Author(s):  
Masaaki Matsubara

On structural integrity evaluation, a single-edge cracked panel subjected to combined remote tension and bending is the typical one. The J-integral is a valid way for handling the ductile fracture problem immediately after stable crack initiation. The complimentary energy concept combined with fully plastic solutions to make it to estimate the J-integral of the panel. The proposed method is able to give us the J-integral as a function of the crack size/panel width and the strain hardening exponent.

2016 ◽  
Vol 82 (842) ◽  
pp. 16-00096-16-00096
Author(s):  
Takehisa YAMADA ◽  
Yoichi YAMASHITA ◽  
Sohei KANNA

Author(s):  
Gustavo M. Castelluccio ◽  
Sebastian Cravero ◽  
Hugo A. Ernst

Structural integrity analysis of tough materials based on Elastic-Plastic Fracture Mechanics (EPFM) has been successfully employed in the assessment of components. EPFM has originally been developed for homogeneous materials and its applicability to inhomogeneous materials has some peculiarities. In particular, Fitness for Service design of welded pipes requires to know the weld fracture toughness and to estimate accurately the J-integral applied on the actual structural member. In this work, finite element analyses of simulated welds have been carried out in order to qualify and quantify the lack of accuracy of experimental methodologies for measuring fracture toughness of welds and the influence of welds on the applied J-integral in a pipe under bending. Different weld widths and cracks positions are characterized for single edge notch specimens in tension (SE(T)) and pipes. It has been found that inhomogeneity affects elastic-plastic fracture parameters for cracks centered in welds of certain widths. Moreover, the applied J-integral on pipes with circumferential cracks depends significantly on the weld width and crack position.


AIAA Journal ◽  
1977 ◽  
Vol 15 (7) ◽  
pp. 923-931 ◽  
Author(s):  
Satya N. Atluri ◽  
Michihiko Nakagaki

1987 ◽  
Vol 60 (4) ◽  
pp. 674-688 ◽  
Author(s):  
R. F. Lee ◽  
J. A. Donovan

Abstract For PS and SEN specimens: 1) Jδ (one half Jθ) can be determined from one specimen and is independent of crack size and specimen geometry. 2) J and T at initiation differed. 3) J at initiation increased with carbon black content, but the critical crack-tip radius did not.


Author(s):  
Yoichi Kayamori ◽  
Takehiro Inoue ◽  
Tetsuya Tagawa

Experimental and analytical investigations into Crack Tip Opening Displacement, CTOD, were conducted to demonstrate the relationship between BS7448-CTOD and ASTM E1290-CTOD. CTOD test results showed that ASTM-CTOD was occasionally much lower than BS-CTOD both in single edge notch bend specimens and in CT specimens for low-strength structural steels, and this tends to be more remarkable in CT specimens. In addition, the analytical results of simplified elastic-plastic facture parameter calculation using the Electric Power Research Institute scheme demonstrated that the ratio of ASTM-CTOD to BS-CTOD was not constant but varied according to CTOD changes. Material factors such as the yield stress, the strain hardening exponent, specimen size and configurations influenced the CTOD ratio, and low strain hardening exponent in the Ramberg-Osgood relation and CT specimen configuration significantly decreased the CTOD ratio. An equation that transforms BS-CTOD into ASTM-CTOD is proposed in this study. This equation gives a good estimate of ASTM-CTOD from BS-CTOD.


Author(s):  
Jiri Novak

Recently, interest on fracture toughness under mixed mode loading increases and many questions remain to be answered, especially for ductile fracture. Crack growth resistance curves for mixed mode loading may be interpreted as a result of competition between usual ductile fracture and shear fracture. Analysis is based on previous work in the field of ductile fracture, especially on studies of ductile fracture criteria of the type “loss of stability of homogeneous deformation field”. Phenomena of shear fracture can be successfully predicted by bifurcation analysis of shear band initiation or localized necking. Usual ductile fracture under different stress triaxialities can be analogously predicted by cavitation instability criterion. Usual (cavitation-type) ductile fracture strain depends on strain hardening exponent less than shear fracture strain does and this explains dependence of the KIIc/KIc ratio on strain hardening exponent. These ideas are demonstrated quantitatively using data in the open literature.


1992 ◽  
Vol 114 (2) ◽  
pp. 234-238 ◽  
Author(s):  
A. J. Rafanelli

As part of a fracture properties study, the Ramberg-Osgood parameters were evaluated for 63-37 Sn-Pb (tin-lead) solder. This work was a preliminary step in experimentally determining J-integral values via the Hutchinson-Rice-Rosengren (HRR) power law for hardening materials. Consideration was given to both engineering strain and true strain when plotting the curves. Results disclosed little effect of either engineering or true strain at linear stress levels. For a strain-hardening exponent of 1.0, a material constant of 0.9849 was determined.


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