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Fracture Study on Key-Hole Notches Under Tension: Two Brittle Fracture Criteria and Notch Fracture Toughness Measurement by the Disk Test

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Abstract

Notch fracture toughness expressions were developed for predicting tensile fracture in members containing key-hole notches based on the point stress and the mean stress criteria. The criteria were verified by using the experimental results obtained from new fracture tests on the key-hole notched Brazilian disk specimens, made of PMMA. It was found that the mean stress criterion predicts the experimental results very well. Also, found in this research was that while the point stress model provides generally satisfactory estimations, except for a special case, the accuracy of this criterion enhances as the notch radius increases.

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References

  1. Gogotsi GA (2003) Fracture toughness of ceramics and ceramic composites. Ceram Int 29:777–784

    Article  Google Scholar 

  2. Knesl Z (1991) A criterion of V-notch stability. Int J Fract 48:79–83

    Article  Google Scholar 

  3. Nui LS, Chehimi C, Pluvinage G (1994) Stress field near a large blunted tip V-notch and application of the concept of the critical notch stress intensity factor (NSIF) to the fracture toughness of very brittle materials. Eng Fract Mech 49:325–335

    Article  Google Scholar 

  4. Seweryn A (1994) Brittle fracture criterion for structures with sharp notches. Eng Fract Mech 47:673–681

    Article  Google Scholar 

  5. Strandberg M (2002) Fracture at V-notches with contained plasticity. Eng Fract Mech 69:403–415

    Article  Google Scholar 

  6. Gomez FJ, Elices M (2003) A fracture criterion for sharp V-notched samples. Int J Fract 123:163–175

    Article  Google Scholar 

  7. Gomez FJ, Elices M, Valiente A (2000) Cracking in PMMA containing U-shaped notches. Fat Fract Eng Mater Struct 23:795–803

    Article  Google Scholar 

  8. Lazzarin P, Zambardi R (2001) A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches. Int J Fract 112:275–298

    Article  Google Scholar 

  9. Yosibash Z, Bussiba A, Gilad I (2004) Failure criteria for brittle elastic materials. Int J Fract 125:307–333

    Article  MATH  Google Scholar 

  10. Livieri P (2003) A new path independent integral applied to notched components under mode I loadings. Int J Fract 123:107–125

    Article  Google Scholar 

  11. Matvienko YG, Morozov EM (2004) Calculation of the energy J-integral for bodies with notches and cracks. Int J Fract 125:249–261

    Article  MATH  Google Scholar 

  12. Berto F, Lazzarin P (2007) Relationships between J-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches. Int J Solids Struct 44:4621–4645

    Article  MATH  Google Scholar 

  13. Livieri P (2008) Use of J-integral to predict static failures in sharp V-notches and rounded U-notches. Eng Fract Mech 75:1779–1793

    Article  Google Scholar 

  14. Barati E, Alizadeh Y, Aghazadeh J, Berto F (2009) Some new practical equations for rapid calculation of J-integral in plates weakened by U-notches under bending. Mater Design 31:2964–2971

    Article  Google Scholar 

  15. Barati E, Alizadeh Y (2011) A numerical method for evaluation of J-integral in plates made of functionally graded materials with sharp and blunt V-notches. Fat Fract Eng Mater Struct 34:1041–1052

    Article  Google Scholar 

  16. Becker TH, Mostafavi M, Tait RB, Marrow TJ (2012) An approach to calculate the J-integral by digital image correlation displacement field measurement. Fat Fract Eng Mater Struct 35:971–984

    Article  Google Scholar 

  17. Carpinteri A, Cornetti P, Pugno N, Sapora A, Taylor D (2008) A finite fracture mechanics approach to structures with sharp V-notches. Eng Fract Mech 75:1736–1752

    Article  Google Scholar 

  18. Ayatollahi MR, Torabi AR (2010) Brittle fracture in rounded-tip V-shaped notches. Mater Design 31:60–67

    Article  Google Scholar 

  19. Ayatollahi MR, Torabi AR (2010) Tensile fracture in notched polycrystalline graphite specimens. Carbon 48:2255–2265

    Article  Google Scholar 

  20. Torabi AR, Fakoor M, Pirhadi E (2013) Tensile fracture in coarse-grained polycrystalline graphite weakened by a U-shaped notch. Eng Fract Mech 111:77–85

    Article  Google Scholar 

  21. Torabi AR (2012) Estimation of tensile load-bearing capacity of ductile metallic materials weakened by a V-notch: The equivalent material concept. Mater Sci Eng A 536:249–255

    Article  Google Scholar 

  22. Lazzarin P, Berto F, Ayatollahi MR (2013) Brittle failure of inclined key-hole notches in isostatic graphite under in-plane mixed mode loading. Fat Fract Eng Mater Struct 36:942–955

    Article  Google Scholar 

  23. Kullmer G, Richard HA (2006) Influence of the root radius of crack-like notches on the fracture load of brittle components. Arch Appl Mech 76:711–723

    Article  MATH  Google Scholar 

  24. Novozhilov VV (1969) On necessary and sufficient criterion of brittle fracture. Prikladnaja Matematica i Mechanika 33:212–222

    Google Scholar 

  25. Ayatollahi MR, Torabi AR, Azizi P (2010) Experimental and theoretical assessment of brittle fracture in engineering components containing a sharp V-notch. Exp Mech 51:919–932

    Article  Google Scholar 

  26. Ayatollahi MR, Torabi AR (2010) Determination of mode II fracture toughness for U-shaped notches using Brazilian disc specimen. Int J Solids Struct 47:454–465

    Article  MATH  Google Scholar 

  27. Annual book of ASTM standards (2000) ASTM D638-99 Standard test method for tensile properties of plastics. West Conshohocken, United States

    Google Scholar 

  28. Annual book of ASTM standards (2004) ASTM E132-04 Standard test method for Poisson’s ratio at room temperature. West Conshohocken, United states

    Google Scholar 

  29. Annual book of ASTM standards (1999) ASTM D5045-99 Standard test method for plane-strain fracture toughness and strain energy release rate of plastic materials. West Conshohocken, United states

    Google Scholar 

  30. Zappalorto M, Lazzarin P (2011) In-plane and out-of-plane stress field solutions for V-notches with end holes. Int J Fract 168:167–180

    Article  MATH  Google Scholar 

  31. Torabi AR (2013) The Equivalent Material Concept: Application to failure of O-notches. Eng Solid Mech 1:129–140

    Article  Google Scholar 

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Authors and Affiliations

  1. Fracture Research Laboratory, Faculty of New Science and Technologies, University of Tehran, P.O. Box 13741-4395, Tehran, Iran

    A. R. Torabi & S. M. Abedinasab

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  1. A. R. Torabi
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  2. S. M. Abedinasab
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Correspondence to A. R. Torabi.

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Torabi, A.R., Abedinasab, S.M. Fracture Study on Key-Hole Notches Under Tension: Two Brittle Fracture Criteria and Notch Fracture Toughness Measurement by the Disk Test. Exp Mech 55, 393–401 (2015). https://doi.org/10.1007/s11340-014-9949-0

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  • DOI: https://doi.org/10.1007/s11340-014-9949-0

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