Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Experimental Mechanics
Published in: Experimental Mechanics 8/2016

02-06-2016

On Evaluation of Stress Intensity Factor from In-Plane and Transverse Surface Displacements

Authors: Z. He, A. Kotousov

Published in: Experimental Mechanics | Issue 8/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Experimental approaches to the evaluation of stress intensity factor (SIF) of through-cracked plate components are currently based on the classical plane stress (2D) asymptotic power series expansion of strains or displacements near the crack tip (Williams’ solution). Besides the plasticity effects, the quantitative evaluation of SIF has to take into account a finite domain of convergence of the series expansion as well as three-dimensional (3D) effects, which prevail in the close vicinity of the crack tip. In this paper we demonstrate and confirm that attempts to fit Williams’ solution to experimental data in the near crack tip region can provide misleading results. In addition, it is verified that the SIF can be linked to the transverse displacements in the region controlled by 3D effects, and in particular, by 3D corner singularity. Under mode I loading, the transverse displacement field in this region is uniform, and largely unaffected by the higher order terms of the asymptotic power series expansion, which make this way of the evaluation of SIF particularly attractive for experimental measurements.
previous article Thermoelastic Stress Analysis of a Finite Orthotropic Composite Containing an Elliptical Hole
next article Digital Image Correlation with Enhanced Accuracy and Efficiency: A Comparison of Two Subpixel Registration Algorithms

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Rooke DP, Cartwright DJ (1976) Compendium of stress intensity factors. Her Majesty’s Stationery Office, London
2.
Tada H, Paris PC, Irwin GR (1985) The stress analysis of cracks handbook. Paris Productions, St. Louis, Mo
3.
Murakami Y (1987) Stress intensity factors handbook. Pergamon Press, New York
4.
Lim I, Johnston IW, Choi SK (1992) On stress intensity factor computation from the quarter-point element displacements. Commun Appl Numer Methods 8:291–300CrossRefMATH
5.
Courtin S, Gardin C, Bezine G, Hamouda HBH (2005) Advantages of the J-integral approach for calculating stress intensity factors when using the commercial finite element software ABAQUS. Eng Fract Mech 72:2174–2185CrossRef
6.
Pak YE, Kim S (2010) On the use of path-independent integrals in calculating mixed-mode stress intensity factors for elastic and thermoelastic cases. J Therm Stresses 33:661–673CrossRef
7.
Theocaris PS (1984) Experimental methods for determining stress intensity factors. Int J Fract Mech 1:707–728
8.
Wei J, Zhao JH (1997) A two-strain-gage technique for determining mode I stress-intensity factor. Theor Appl Fract Mech 28:135–140CrossRef
9.
Dorogoy A, Rittel D (2008) Optimum location of a three strain gauge rosette for measuring mixed mode stress intensity factors. Eng Fract Mech 75:4127–4139CrossRef
10.
Humbert L, Valle V, Cottron M (2000) Experimental determination and empirical representation of out-of-plane displacements in a cracked elastic plate loaded in mode I. Int J Solids Struct 37:5493–5504CrossRefMATH
11.
Ravi-Chandar K (2008) Fracture mechanics. In: Sharpe WN (ed) Springer handbook of experimental solid mechanics. Springer Science + Business Media, New York, pp 125–158CrossRef
12.
Baik MC, Choi SH, Hawong JS, Kwon JD (1995) Determination of stress-intensity factors by the method of caustics in anisotropic materials. Exp Mech 35:137–143CrossRef
13.
Yazdanmehr A, Soltani N (2014) Evaluation of stress intensity factors of rounded V and U notches under mixed mode loading, using the experimental method of caustics. Theor Appl Fract Mech 74:79–85CrossRef
14.
Ayatollahi MR, Nejati M (2011) Experimental evaluation of stress field around the sharp notches using photoelasticity. Mater Des 32:561–569CrossRef
15.
Sutton MA, Yan JH, Tiwari V, Schreier HW, Orteu JJ (2008) The effect of out-of-plane motion on 2D and 3D digital image correlation measurements. Opt Lasers Eng 46:746–757CrossRef
16.
Sutton MA, Orteu JJ, Schreier HW (2009) Image correlation for shape, motion and deformation measurements. Springer, New York
17.
McCormick N, Lord J (2010) Digital image correlation. Mater Today 13:52–54CrossRef
18.
Brynk T, Laptiev A, Tolochyn O, Pakiela Z (2012) The method of fracture toughness measurements of high speed camera and DIC. Comput Mater Sci 64:221–224CrossRef
19.
McNeill SR, Peters WH, Sutton MA (1987) Estimation of stress intensity factor by digital image correlation. Eng Fract Mech 28:101–112CrossRef
20.
Roux S, Hild F (2006) Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches. Int J Fract 140:141–157CrossRefMATH
21.
Réthoré J, Gravouil A, Morestin F, Combescure A (2005) Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral. Int J Fract 132:65–79CrossRef
22.
Pataky GJ, Sangid MD, Sehitoglu H, Hamilton RF, Maier HJ, Sofronis P (2012) Full field measurements of anisotropic stress intensity factor ranges in fatigue. Eng Fract Mech 94:13–18CrossRef
23.
He Z, Kotousov A, Fanciulli A, Berto F, Nguyen G (2015) On the evaluation of stress intensity factor from displacement field affected by 3D corner singularity. Int J Solids Struct 78–79:131–137
24.
Rosakis AJ, Ravi-Chandar K (1983) On crack-tip stress state: an experimental evaluation of three-dimensional effects. Int J Solids Struct 22:121–134CrossRef
25.
Kotousov A (2010) Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates. Int J Solids Struct 47:1916–1923CrossRefMATH
26.
Berto F, Lazzarin P, Kotousov A (2011) On the presence of the out-of-plane singular mode induced by plane loading with KII = KI = 0. Int J Fract 167:119–126CrossRefMATH
27.
He Z, Kotousov A, Berto F (2015) Effect of vertex singularities on stress intensities near plate free surfaces. Fatigue Fract Eng Mater Struct 38:860–869CrossRef
28.
She C, Guo W (2007) The out-of-plane constraint of mixed-mode cracks in thin elastic plates. Int J Solids Struct 44:3021–3034CrossRefMATH
29.
Berto F, Lazzarin P, Kotousov A (2011) On higher order terms and out of plane singular mode. Mech Mater 43:332–341CrossRefMATH
30.
Kotousov A, Lazzarin P, Berto F, Pook LP (2013) Three-dimensional stress states at crack tip induced by shear and anti-plane loading. Eng Fract Mech 108:65–74CrossRef
31.
Pook LP (2013) A 50-years retrospective review of three-dimensional effects at cracks and sharp notches. Fatigue Fract Eng Mater Struct 36:699–723CrossRef
32.
Hello G, Tahar MB, Roelandt J-M (2012) Analytical determination of coefficients in crack-tip stress expansions for a finite crack in an infinite plane medium. Int J Solids Struct 49:556–566CrossRef
33.
Kotousov A, Berto F, Lazzarin P, Pegorin F (2012) Three dimensional finite element mixed fracture mode under anti-plane loading of a crack. Theor Appl Fract Mech 62:26–33CrossRef
34.
Liao M, Tang A, Hu Y, Guo Z (2015) Computation of coefficients of crack-tip asymptotic fields using the weak form quadrature element method. J Eng Mech 141
35.
Ayatollahi MR, Aliha MRM, Saghafi H (2011) An improved semi-circular bend specimen for investigating mixed mode brittle fracture. Eng Fract Mech 78:110–123CrossRef
36.
Gómez FJ, Elices M (2003) A fracture criterion for sharp V-notched samples. Int J Fract 123:163–175CrossRefMATH
37.
Berto F, Lazzarin P, Kotousov A, Pook LP (2012) Induced out-of-plane mode at the tip of blunt lateral notches and holes under in-plane shear loading. Fatigue Fract Eng Mater Struct 35:538–555CrossRef
38.
Williams ML (1957) On the stress distribution at the base of a stationary crack. J Appl Mech 24:109–114MathSciNetMATH
39.
40.
He Z, Kotousov A, Berto F, Branco R (2016) A brief review of recent three-dimensional studies of brittle fracture. Phys Mesomech 19:6–20CrossRef
Metadata
Title
On Evaluation of Stress Intensity Factor from In-Plane and Transverse Surface Displacements
Authors
Z. He
A. Kotousov
Publication date
02-06-2016
Publisher
Springer US
Published in
Experimental Mechanics / Issue 8/2016
Print ISSN: 0014-4851
Electronic ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-016-0176-8

Other articles of this Issue 8/2016

Experimental Mechanics 8/2016 Go to the issue

OriginalPaper

Polarization-Resolved Imaging for Both Photoelastic and Photoluminescence Characterization of Photovoltaic Silicon Wafers

OriginalPaper

Sensitivity Enhancement of FBG Sensors for Acoustic Emission Using Waveguides

OriginalPaper

A Hybrid Wavelet Based–Approach and Genetic Algorithm to Detect Damage in Beam-Like Structures without Baseline Data

OriginalPaper

Interaction of Z-pins with Multiple Mode II Delaminations in Composite Laminates

OriginalPaper

Experimental Investigation of Plastic Strain Recovery and Creep in Nanocrystalline Copper Thin Films

OriginalPaper

High Spatial Resolution Evaluation of Residual Stresses in Shot Peened Specimens Containing Sharp and Blunt Notches by Micro-hole Drilling, Micro-slot Cutting and Micro-X-ray Diffraction Methods

Premium Partners

    Image Credits