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.

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.

Utilization of Williams’ Power Series for Estimation of Crack Behavior under Mixed-Mode Loading

2019 ◽  
Vol 827 ◽  
pp. 203-208
Author(s):  
Lucie Malíková ◽  
Petr Miarka ◽  
Hana Šimonová
Keyword(s):  
Fracture Mechanics ◽  
Mixed Mode ◽  
Crack Tip ◽  
Field Approximation ◽  
Bending Test ◽  
Mixed Mode Loading ◽  
Three Point Bending ◽  
Crack Behavior ◽  
Higher Order Terms ◽  
Specific Fracture

Multi-parameter fracture mechanics concept has been applied to investigate crack behavior under mixed-mode loading, particularly in a semi-circular bending disc. The so-called Williams’ series expansion is used for the crack-tip stress field approximation. It has been shown that application of the generalized fracture mechanics concept can be crucial for materials with specific fracture behavior, such as elastic-plastic or quasi-brittle one, when fracture occurs not only in the very vicinity of the crack tip, but also in a more distant surrounding. Then, considering the higher-order terms of the Williams’ expansion in fracture criteria can be helpful. The attention is devoted to the analysis of the influence of various distances between the supports during the three-point bending test on the results of the further crack propagation direction.

scholarly journals MULTIPARAMETRIC ANALYSIS OF THE STRESS FIELD NEAR THE CRACK TIP

2017 ◽  
Vol 21 (10) ◽  
pp. 52-76
Author(s):  
L.V. Stepanova ◽  
P.S. Roslyakov
Keyword(s):  
Asymptotic Expansion ◽  
Stress Field ◽  
Mixed Mode ◽  
Infinite Plate ◽  
Higher Order ◽  
Analytical Determination ◽  
Mixed Mode Loading ◽  
Complete Asymptotic Expansion ◽  
Higher Order Terms ◽  
Crack Tips

The paper is devoted to analytical determination of coefficients of the Williams asymptotic expansion of the stress field in the neighborhood of two collinear crack tips in an infinite plate under mixed mode loading. On the basis of the Kolosof-Muskhelishvili approach the complete asymptotic expansion of the stress field in the vicinity of the crack tips of two collinear cracks of equal lengths under mixed mode loading is derived. The analysis of the higher order terms in the asymptotic expansion series is performed. It is clear that it is necessary to take into account the higher order terms.

Determination of the strength of polymer-metal interfaces under mixed mode loading using butt-bonded hollow cylinders

2019 ◽  
Vol 89 ◽  
pp. 30-39 ◽  
Author(s):  
Erik Saborowski ◽  
Robert Kießling ◽  
Axel Dittes ◽  
Gerd Paczkowski ◽  
Jörn Ihlemann ◽  
...  
Keyword(s):  
Mixed Mode ◽  
Mixed Mode Loading ◽  
Polymer Metal ◽  
Hollow Cylinders ◽  
Metal Interfaces

Numerical Modelling of Cylindrical Specimen under Mixed-Mode Loading Conditions

2018 ◽  
Vol 774 ◽  
pp. 325-330
Author(s):  
O. Slávik ◽  
Pavel Hutař ◽  
Michael Berer ◽  
A. Gosch ◽  
F. Arbeiter ◽  
...  
Keyword(s):  
Mixed Mode ◽  
Cylindrical Specimen ◽  
Roller Bearing ◽  
Fatigue Behaviour ◽  
The Other ◽  
Mixed Mode Loading ◽  
Mode Iii ◽  
Fem Model ◽  
Experimental Specimen

Mixed mode loaded fatigue specimens are not used very frequently. The main reason is that there are still very few qualitative results, which would help with better understanding of how the mode II and mode III are affecting the overall crack propagation. On the other hand, there is considerable number of parts loaded in mixed mode. Studying fatigue failure of roller bearing elements made of polymer material was a motivation to design a new experimental specimen for study of fatigue behaviour of the material loaded in mixed mode. The contribution presents developed FEM model of such specimen with focus on determination of fracture mechanics parameters of propagating cracks.

Determination of crack tip parameters for ASCB specimen under mixed mode loading using finite element method

2011 ◽  
Vol 50 (5) ◽  
pp. 1667-1674 ◽  
Author(s):  
Hossein Darban ◽  
Mohammad Haghpanahi ◽  
Abbas Assadi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Mode ◽  
Crack Tip ◽  
Mixed Mode Loading ◽  
Element Method
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