Acoustoelastic Determination of Forces on a Crack in Mixed-Mode Loading

1983 ◽  
Vol 50 (2) ◽  
pp. 379-382 ◽  
Author(s):  
R. B. King ◽  
G. Herrmann
Keyword(s):  
Nondestructive Evaluation ◽  
Mixed Mode ◽  
Experimental Results ◽  
Mode I ◽  
J Integral ◽  
Mixed Mode Loading ◽  
Central Crack ◽  
Ultrasonic Measurements ◽  
Mode I Loading

A technique previously presented [1] for the nondestructive evaluation of the J integral in cracked samples from ultrasonic measurements of stress, and successfully tested on specimens under mode I loading, is extended here to mixed-mode loading. Experimental results are presented for both the J and L integrals in a specimen with a slanted central crack loaded in tension, which agree well with theoretical values.

scholarly journals DETERMINATION OF THE COEFFICIENTS OF ASYMPTOTIC CRACK—TIP STRESS EXPANSION. MIXED MODE LOADING OF THE PLATE

2020 ◽  
Vol 26 (3) ◽  
pp. 40-62
Author(s):  
O. N. Belova ◽  
L. V. Stepanova
Keyword(s):  
Asymptotic Expansion ◽  
Mixed Mode ◽  
Computer Algebra System ◽  
Mixed Mode Loading ◽  
Central Crack ◽  
Three Point Bending ◽  
Scale Factors ◽  
Half Disk ◽  
Predetermined Number

The aim of the study is to calculate the coefficients of M. Williams asymptotic expansion of stress anddisplacement fields using the data of finite element modeling of a plate with an inclined central crack in a uniaxial tension field. In this work, we also simulated the loading of a half-disk with a vertical and oblique notch under conditions of three-point bending. The simulation was carried out in the multifunctional software SIMULIA Abaqus. The paper proposes an algorithm for calculating the coefficients. The program, written in the MAPLE computer algebra system, allows calculating any predetermined number of M. Williams expansioncoefficients (amplitude or scale factors) and uses the values of the stress tensor components at points in the vicinity of the crack and their coordinates as input. The analysis of the influence of the number of calculated coefficients on the accuracy of their determination is carried out. Recommendations on the choice of points for calculating the coefficients are given.

Dynamic cleavage in ductile materials

1986 ◽  
Vol 1 (1) ◽  
pp. 73-80 ◽  
Author(s):  
I.-H. Lin ◽  
R. M. Thomson
Keyword(s):  
Brittle Fracture ◽  
Mixed Mode ◽  
High Speed ◽  
Time Dependent ◽  
Mode I ◽  
Theoretical Treatment ◽  
Mixed Mode Loading ◽  
Dislocation Emission ◽  
Ductile Materials ◽  
Ductile Behavior

Ductile materials are found to sustain brittle fracture when the crack moves at high speed. This fact poses a paradox under current theories of dislocation emission, because even at high velocities, these theories predict ductile behavior. A theoretical treatment of time-dependent emission and cleavage is given which predicts a critical velocity above which cleavage can occur without emission. Estimates suggest that this velocity is in the neighborhood of the sound velocity. The paper also discusses the cleavage condition under mixed mode loading, and concludes that the cleavage condition involves solely the mode I loading, with possible sonic emission under such loadings

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.

Determination of the Mode I critical J-integral of copy paper

2017 ◽  
Vol 169 ◽  
pp. 251-261 ◽  
Author(s):  
Hiroshi Yoshihara ◽  
Masahiro Yoshinobu
Keyword(s):  
Mode I ◽  
J Integral

J-Integral Evaluation of Single-Edge Notched Specimens under Mixed-Mode I/II Loading

2001 ◽  
Vol 29 (3) ◽  
pp. 239 ◽  
Author(s):  
DR Petersen ◽  
RE Link ◽  
CD Donne ◽  
A Pirondi
Keyword(s):  
Mixed Mode ◽  
Mode I ◽  
J Integral ◽  
Single Edge ◽  
Integral Evaluation ◽  
Notched Specimens

scholarly journals Determination of mixed mode (I/II) SIFs of cracked orthotropic materials

2018 ◽  
Author(s):  
D. Chakraborty ◽  
Debaleena Chakraborty ◽  
K. S. R. K. Murthy
Keyword(s):  
Mixed Mode ◽  
Orthotropic Materials ◽  
Mode I
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