DOI QR코드

DOI QR Code

Investigation the fracture behavior of high-density polyethylene PE80 weakened by inclined U-notch with end hole

  • Received : 2019.04.08
  • Accepted : 2020.01.10
  • Published : 2020.06.10

Abstract

In this article, the Strain Energy Density (SED) averaged over a well-defined control volume at a notch edge was applied in combination with the Equivalent Material Concept (EMC) to assess the fracture behaviors of some keyhole-notched specimens made of a High-Density Polyethylene (HDPE-PE80) material under mixed-mode loading conditions. An experimental program was performed and 54 new experimental data were totally provided. Additionally, different loading mode ratios were regarded by changing the inclination angles of the notches with respect to the applied load directions. The results obtained from the determined criteria were in good agreement with those of the experimental data.

Keywords

References

  1. Anderson, L. (1995), Fracture Mechanics: Fundamentals and Applications, 2nd ed., CRC Press LLC, Florida.
  2. Atzori, B., Filippi, S., Lazzarin, P. and Berto, F. (2005), "Stress distributions in notched structural components under pure bending and combined traction and bending", Fatigue Fract. Eng. Mater. Struct., 28, 13-23. https://doi.org/10.1111/j.1460-2695.2004.00831.x.
  3. Atzori, B., Lazzarin, P. and Tovo, R. (1997), "Stress distributions for V-shaped notches under tensile and bending loading", Fract. Eng. Mater. Struct., 20, 1083-1092. https://doi.org/10.1111/j.1460-2695.1997.tb00314.x.
  4. Behnam S., Torabi, A.R., Berto, F. and Razavi, S.M.J. (2018), "Averaged strain energy density to assess mixed mode I/III fracture of U-notched GPPS samples", Struct. Eng. Mech., 65(6), 699-706. https://doi.org/10.12989/sem.2018.65.6.699.
  5. Berto, F. and Lazzarin, P. (2014), "Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches", Mater. Sci. Eng. R. Rep., 75, 1-48. https://doi.org/10.1016/j.mser.2013.11.001/
  6. Berto, F., Elices, M., Lazzarin, P. and Zappalorto, M. (2012), "Fracture behaviour of notched round bars made of PMMA subjected to torsion at room temperature", Eng. Fract. Mech., 90, 143-160. https://doi.org/10.1016/j.engfracmech.2012.05.001.
  7. Berto, F., Lazzarin, P. and Radaj, D. (2012), "Fictitious notch rounding concept applied to V-notches with root holes subjected to in-plane shear loading", Eng. Fract. Mech., 79, 281-294. https://doi.org/10.1016/j.engfracmech.2011.11.007.
  8. Berto, F., Lazzarin, P., Gomez, F. J. and Elices, M. (2007), "Fracture assessment of U-notches under mixed mode loading: two procedures based on the 'equivalent local mode I' concept", Int. J. Fract., 148, 415-433. https://doi.org/10.1007/s10704-008-9213-7.
  9. Campagnolo, A., Meneghetti, G. and Berto, F. (2016), "Rapid finite element evaluation of the averaged strain energy density of mixed-mode (I + II) crack tip fields including the T-stress contribution", Fatigue Fract. Eng. Mater. Struct., 39, 982-998. https://doi.org/10.1111/ffe.12439.
  10. Creager, M. and Paris, P.C. (1967), "Elastic field equations for blunt cracks with reference to stress corrosion cracking", Int. J. Fract., 3, 247-252. https://doi.org/10.1007/BF00182890.
  11. Filippi, S., Lazzarin, P. and Tovo, R. (2002), "Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates", Int. J. Solids. Struct., 39, 4543- 4565. https://doi.org/10.1016/S0020-7683(02)00342-6.
  12. Frank, A. and Pinter, G. and Lang, R.W. (2009), "Prediction of the remaining lifetime of polyethylene pipes after up to 30 years in use", Polym. Test., 28, 737-745. https://doi.org/10.1016/j.polymertesting.2009.06.004.
  13. Glinka, G. (1985), "Energy density approach to calculation of inelastic strain-stress near notches and cracks", Engng. Fract. Mech., 22, 485-508. https://doi.org/10.1016/0013-7944(85)90148-1.
  14. Glinka, G., Molski, K. (1981), "A method of elastic-plastic stress and strain calculation at a notch root", Mater. Sci. Engng. 50, 93-100. https://doi.org/10.1016/0025-5416(81)90089-6.
  15. Gogotsi, G. A. (2003), "Fracture toughness of ceramics and ceramic composites", Ceram. Int., 29, 777-784. https://doi.org/10.1016/S0272-8842(02)00230-4.
  16. Irwin, G.R., (1957), "Analysis of stresses and strain near the end of a crack transversing a plate", J. Appl. Mech., 24, 361-364. https://doi.org/10.1115/1.4011547
  17. Knesl, Z. (1991), "A criterion of V-notchstability", Int. J. Fract, 48, R79-R83. https://doi.org/10.1007/BF00012922
  18. Lazzarin, P. and Berto, F. (2005), "Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches", Int. J. Fract., 135, 161-185. https://doi.org/10.1007/s10704-005-3943-6.
  19. Lazzarin, P. and Berto, F. (2005), "Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches", Int. J. Fract., 135, 161-185. https://doi.org/10.1007/s10704-005-3943-6.
  20. Lazzarin, P. and Filippi, S. (2006), "A generalized stress intensity factor to be applied to rounded V-shaped notches", Int. J. Solids Struct., 43, 2461-2478. https://doi.org/10.1016/j.ijsolstr.2005.03.007.
  21. Lazzarin, P. and Tovo, R. (1996), "A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches", Int. J. Fract, 78, 3-19. https://doi.org/10.1007/BF00018497.
  22. Lazzarin, P. and 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. https://doi.org/10.1023/A:1013595930617.
  23. Lazzarin, P., Berto, F. and Ayatollahi, M R. (2013), "Brittle failure of inclined key-hole notches in isostatic graphite under in-plane mixed mode loading", Fract. Eng. Mater. Struct., 36, 942-955. https://doi.org/10.1111/ffe.12057.
  24. Lazzarin, P., Berto, F. and Zappalorto, M. (2010), "Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: theoretical bases and applications", Int. J. Fatigue., 32, 1559-1567. https://doi.org/10.1016/j.ijfatigue.2010.02.017.
  25. Zappalorto, M. and Lazzarin, P. (2011), "In-plane and out-of-plane stress field solutions for V-notches with end holes", Int. J. Fract., 168, 167-180. https://doi.org/10.1007/s10704-010-9567-5.
  26. Mohammadi, H., Salavati, H., Alizadeh, Y. and Berto, F. (2017), "Prevalent mode II fracture assessment of inclined U-notched specimens made of tungsten-copper functionally graded material", Theor Appl. Fract. Mec., 89, 90-99. https://doi.org/10.1016/j.tafmec.2017.01.010.
  27. Mohammadi, H., Salavati, H., Alizadeh, Y., Abdullah, A. and Berto, F. (2017), "Fracture investigation of U-notch made of tungsten-copper functionally graded materials by means of strain energy density", Fatigue Fract. Eng. M., 40, 1984-1993. https://doi.org/10.1111/ffe.12616.
  28. Mohammadi, H., Salavati, H., Alizadeh, Y., Berto, F. and Panin, S. V. (2017), "Fracture investigation of V-notch made of tungsten-copper functionally graded materials", Phys, Mesomech., 20, 457-464. https://doi.org/10.1134/S1029959917040117.
  29. Mohammadi, H., Salavati, H., Mosaddeghi, M. R., Yusefi, A. and Berto, F. (2017), "Local strain energy density to predict mixed mode I + II fracture in specimens made of functionally graded materials weakened by V-notches with end holes", Theor. Appl. Fract. Mec., 92, 47-58. https://doi.org/10.1016/j.tafmec.2017.05.009.
  30. Mori K (1964), "Tension of a semi-infinite plate with a circular hole connected to the straight edge by a slit", Bull JSME., 7, 272-277. https://doi.org/10.1299/jsme1958.7.272.
  31. Mosaddeghi, M.R., Salavati, H., Alizadeh, Y. and Abdullah, A. (2017), "Fracture investigation of U-notched specimen made of cooper- steel functionally graded material under mode I loading, Modares mechanical Engineering", 17, 1-9.
  32. Nui, L. S., Chehimi, C. and 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. https://doi.org/10.1016/0013-7944(94)90262-3.
  33. Pook, P., Campagnolo, A., Berto, F. and Lazzarin, P. (2015), "Coupled fracture mode of a cracked plate under anti-plane loading", Eng. Fractc. Mech., 134, 391-403. https://doi.org/10.1016/j.engfracmech.2014.12.021.
  34. Salavati, H. and Berto, F. (2013), "Prediction the Charpy impact energy of functionally graded steels", Eng. Solid Mech., 2, 21-28.
  35. Salavati, H., Alizadeh, Y. and Ayatollahi, M. R. (2018), "Fracture assessment of inclined double keyhole notches in isostatic graphite", Phys. Mesomech., 21, 110-116. https://doi.org/10.24411/1683-805X-2018-11003.
  36. Salavati, H., Alizadeh, Y. and Berto, F. (2014), "The mechanism-based strain gradient plasticity theory to model the hot deformation behavior of functionally graded steels", Eng. Mech., 51, 627-641. https://doi.org/10.12989/sem.2014.51.4.627.
  37. Salavati, H., Alizadeh, Y. and Berto, F. (2015), "Fracture assessment of notched bainitic functionally graded steels under mixed mode (I + II) Loading", Phys. Mesomech., 18, 307-325. https://doi.org/10.1134/S1029959915040049.
  38. Salavati, H., Alizadeh, Y. and Berto, F. (2015), "Local strain energy density applied to bainitic functionally graded steels plates under mixed mode (I+II) loading", Acta. Metallurgica Sinica., 28, 164-172. https://doi.org/10.1007/s40195-014-0182-8.
  39. Salavati, H., Alizadeh, Y., Kazemi, A. and Berto, F. (2015), "A new expression to evaluate the critical fracture load for bainitic functionally graded steels under mixed mode (I + II) loading", Eng. Fail Anal., 48, 121-136. https://doi.org/10.1016/j.engfailanal.2014.11.005.
  40. Salavati, H., Berto, F. and Alizadeh, Y. (2014), "The flow stress assessment of austenitic-martensitic functionally graded steel under hot compression", Eng. Solid. Mech., 2, 83-90. https://doi.org/10.5267/j.esm.2014.2.003
  41. Salavati, H., Mohammadi, H., Yusefi, A. and Berto, F. (2017), "Fracture assessment of V-notched specimens with end holes made of tungsten-copper functionally graded material under mode I loading", Theor. Appl. Fract. Mec., 357-367. https://doi.org/10.1016/j.tafmec.2017.06.013.
  42. Seweryn, A. (1994), "Brittle fracture criterion for structures with sharp notches", Eng. Fract. Mech., 47, 673-681. https://doi.org/10.1016/0013-7944(94)90158-9.
  43. Strandberg, M. (2002), "Fracture at V-notches with contained plasticity", Eng. Fract. Mech., 69, 403-415. https://doi.org/10.1016/S0013-7944(01)00079-0.
  44. Torabi, A. (2013), "The Equivalent Material Concept: Application to Failure of O-Notches", Eng. Solid Mech., 1, 129-140. https://doi.org/10.5267/j.esm.2013.09.005
  45. Torabi, A. R, Habibi, R., Mohammad Hosseini, B. (2015), "On the Ability of the Equivalent Material Concept in Predicting Ductile Failure of U-Notches under Moderate- and Large-Scale Yielding Conditions", Phys. Mesomech., 18, 337-347. https://doi.org/10.1134/S1029959915040062.
  46. Torabi, A. R., Alaei, M. (2015), "Mixed-mode ductile failure analysis of V-notched Al7075-T6 thin sheets", Eng. Fract. Mech., 150, 70-75. https://doi.org/10.1016/j.engfracmech.2015.10.037.
  47. Torabi, A. R., and berto, F., (2014), "Mixed mode fracture assessment of U-notched graphite Brazilian disk specimens by means of the local energy", Struct. Eng. Mech., 50(6), 723-740. https://doi.org/10.12989/sem.2014.50.6.723.
  48. Torabi, A. R., Berto, F., Campagolo, A. (2016), "Elastic-plastic fracture analysis of notched Al7075-T6 plates by means of the local energy combined with the equivalent material concept", Phys. Mesomech., 19, 204-214. https://doi.org/10.24411/1683-805X-2016-00049.
  49. Torabi, R. and Berto, F. (2014), "Strain energy density to assess mode II fracture in U-notched disk-type graphite plates", Int. J. Damage. Mech., 23, 917-930. https://doi.org/10.1177/1056789513519349.
  50. Wang, J., Rainforth, W. M., Wadsworth, I. and Stevens R. (1992), "The effects of notch width on the SENB toughness for oxide ceramics", J. Eur. Ceram. Soc., 10, 21-31. https://doi.org/10.1016/0955-2219(92)90115-T
  51. Yosibash, Z., Bussiba, A. and Gilad, I. (2004), "Failure criteria for brittle elastic materials", Int. J. Fract., 125, 307-333. https://doi.org/10.1023/B:FRAC.0000022244.31825.3b
  52. Zappalorto, M. and Lazzarin, P. (2011), "In-plane and out-of-plane stress field solutions for V-notches with end holes", Int. J. Fract., 168, 167-180. https://doi.org/10.1007/s10704-010-9567-5.