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Numerical and experimental analysis of the notch effect on fatigue behavior of polymethylmethacrylate metal based on strain energy density method and the extended finite element method

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This work investigates the effect of the notch on fatigue behavior by combining two methods: the extended finite element method (XFEM) and the averaged strain energy density (ASED) method, which considers the combined action of bending and shear loading. The ASED method has already been proven accurate for assessing the failure of components in the presence of sharp and blunt notches, and several results are available in the literature for different materials. These results were compared with those obtained from the experimental tests reported here. The main purpose of this study was twofold: The first part is an experimental study of fatigue in rotary bending of specimens weakened by U and V notches made of polymethyl-methacrylate (PMMA) material. Two values for the radius were used for the U-notches (0.2 and 2 mm) and two angles for the V-notches (20° and 140°). The second part of the study consisted of performing several simulation tests using the Cast3m software for different angles and radii. The local approach based on the mean value of the ASED acted over a finite-sized volume surrounding the highly stressed regions. The maximum principal stress located at the notch edge defined the center of the control volume. If the notch is blunt, the control volume assumes a crescent shape with its width measured along the notch bisector line. When the notch is considered pointed (V-notched) or is a crack, the control volume becomes a circle with its center at the notch tip. The presence of geometric discontinuities in structures affects their lifetime by reducing it, producing a high concentration of local energy around the notch tip. Good convergence was obtained between the numerical simulation and experimental results for the ASED in a finished zone surrounding the notch tip.
Wydawca
Rocznik
Strony
401--413
Opis fizyczny
Bibliogr. 40 poz., rys., tab.
Twórcy
  • Laboratory for Mechanics and Materials Development at ZianeAchour University in the City of Djelfa in Algeria
  • Laboratory for Mechanics and Materials Development at ZianeAchour University in the City of Djelfa in Algeria
autor
  • Laboratory for Mechanics and Materials Development at ZianeAchour University in the City of Djelfa in Algeria
autor
  • Research Center in Industrial Technologies, CRTI, P.O. Box 64, Cheraga, 16014 Algiers, Algeria
autor
  • Laboratory for Mechanics and Materials Development at ZianeAchour University in the City of Djelfa in Algeria
  • Laboratory for Mechanics and Materials Development at ZianeAchour University in the City of Djelfa in Algeria
  • Laboratory for Mechanics and Materials Development at ZianeAchour University in the City of Djelfa in Algeria
Bibliografia
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  • [2] Moussaoui M, . Brittle fracture investigation from disc specimen weakened by U-notch in mixed mode I+ II. Eng Solid Mech. 2020;8(4): 337–52.
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  • [4] Berto F, Lazzarin P. Fatigue strength of Al7075 notched plates based on the local SED averaged over a control volume. Sci China Phys. Mech Astron. 2014;57(1): 30–38.
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  • [7] Berto F, Razavi S, Torgersen J. Frontiers of fracture and fatigue: Some recent applications of the local strain energy density. Frat Integrità Strutt. 2018;12(43): 1–32.
  • [8] Lazzarin P, Zambardi R. A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches. Int J Fract. 2001;112(3): 275–98.
  • [9] Berto F, Lazzarin P. The volume-based Strain Energy Density approach applied to static and fatigue strength assessments of notched and welded structures. Proc Eng. 2009;1(1): 155-8.
  • [10] Aliha M, . Mixed mode I/II fracture investigation of Perspex based on the averaged strain energy density criterion. Phys Mesomech. 2017;20(2): 149–56.
  • [11] Aliha M, . On the applicability of ASED criterion for predicting mixed mode I + II fracture toughness results of a rock material. Theor Appl Fract Mech. 2017;92: 198–204.
  • [12] Negru R, . Assessment of brittle fracture for PUR materials using local strain energy density and theory of critical distances. Theor Appl Fract Mech. 2015;79: 62–9.
  • [13] Ayatollahi M, Berto F, Lazzarin P. Mixed mode brittle fracture of sharp and blunt V-notches in polycrystalline graphite. Carbon. 2011;49(7): 2465–74.
  • [14] Berto F, . Local strain energy density to predict sizedependent brittle fracture of cracked specimens under mixed mode loading. Theor Appl Fract Mech. 2016;86: 217–24.
  • [15] Salavati H., . A new expression to evaluate the critical fracture load for bainitic functionally graded steels under mixed mode (I+II) loading. Eng Fail Anal. 2015;48: 121–36.
  • [16] Li Y, Fantuzzi N, Tornabene F. On mixed mode crack initiation and direction in shafts: strain energy density factor and maximum tangential stress criteria. Eng Fract Mech. 2013;109: 273–89.
  • [17] Sih GC Strain-energy-density factor applied to mixed mode crack problems. Int J Fract. 1974;10(3): 305–21.
  • [18] Sih GC. Mechanics of fracture initiation and propagation: surface and volume energy density applied as failure criterion. ©Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1991.
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  • [20] Sih G, Cha B. A fracture criterion for three-dimensional crack problems. Eng Fract Mech. 1974;6(4): 699–723.
  • [21] Berto F, Lazzarin P. A review of the volume-based strain energy density approach applied to V-notches and welded structures. Theor Appl Fract Mech. 2009;52(3); 183–94.
  • [22] Abolghasemzadeh M, Alizadeh Y, Mohammadi H. Fatigue strength reduction factors based on strain energy density applied to sharp and blunt notches under multiaxial loading. Phy Mesomech. 2020;23(1): 66–80.
  • [23] Williams M. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of Applied Mechanics 1952;19(4): 526-28.
  • [24] Luo P, . Fatigue evaluation of rib-to-deck welded joint using averaged strain energy density method. Eng Struct. 2018;177: 682–94.
  • [25] Lazzarin P, Tovo R. A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches. Int J Fract. 1996;78(1): 3–19.
  • [26] Berto F, Razavi S, Ayatollahi M. Some methods for rapid evaluation of the mixed mode NSIFs. Procedia Struct Integr. 2017;3: 126–34.
  • [27] Berto F, Campagnolo A, Lazzarin P. Fatigue strength of severely notched specimens made of Ti–6Al–4V under multiaxial loading. FF EMS. 2015;38(5): 503–17.
  • [28] Berto F, Gallo P. Extension of linear elastic strain energy density approach to high temperature fatigue and a synthesis of Cu-Be alloy experimental tests. Eng Solid Mech. 2015;3(2): 111–6.
  • [29] Kim YW, . Energy-based approach to predict the fatigue life behavior of pre-strained Fe–18Mn TWIP steel. Mater Sci Eng: A. 2011;528(13–14): 4696–702.
  • [30] Mi C, . An energy-based method for lifetime assessment on high strength steel welded joints under different pre-strain levels. Materials. 2022;15(13): p4558 N-PAG12p.
  • [31] You X, . Low cycle fatigue behaviour and life prediction of Q345B steel and its welded joint. Mater Res Innov. 2015;19(Sup 5): S5-1299–S5-1303.
  • [32] Gallo P, Berto F. Advanced materials for applications at high temperature: fatigue assessment by means of local strain energy density. Adv Eng Mater. 2016;18(12): 2010–7.
  • [33] El Haddad M, Topper T, Smith K. Prediction of nonpropagating cracks. Eng Fract Mech. 1979;11(3): 573–84.
  • [34] Lazzarin P, . Local strain energy density and fatigue strength of welded joints under uniaxial and multiaxial loading. Eng Fract Mech. 2008;75(7): 1875–89.
  • [35] Lazzarin P, Berto F. Some expressions for the strain energy in a finite volume surrounding the root of blunt V- notches. Int J Fract. 2005;135(1): 161–85.
  • [36] Meneghetti G, ., Crack initiation life in notched Ti-6Al-4V titanium bars under uniaxial and multiaxial fatigue: synthesis based on the averaged strain energy density approach. Frattura ed Integrità Strutturale, 2017;11(41): Pages 8–15. doi: 10.3221/IGF-ESIS.41.02
  • [37] Berto F, . Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’concept. Int J Fract. 2007;148(4): 415–33.
  • [38] Gómez F, . Local strain energy to assess the static failure of U-notches in plates under mixed mode loading. Int JFract. 2007;145(1): 29–45.
  • [39] Negru R, . Notch effect assessment in a PUR material using a ring shaped specimen. Theor Appl Fract Mech. 2018;97: 500–6.
  • [40] Lazzarin P, Zappalorto M, Berto F. Averaged strain energy density and J-integral for U-and blunt V-shaped notches under torsion. Int J Fract. 2014;188(2): 173–86.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d91c56f0-c723-4218-95e5-38202adca2c2
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