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Deflection of an eccentric crack under mixed-mode conditions in an SCB specimen

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Crack propagation under mixed-mode (I + II) conditions has been investigated in a semicircular disc where various levels of mixed-mode can be achieved by means of different geometry configurations. The research has been performed on a novel cementitious material, alkali-activated concrete. Its main advantage is that it is environment-friendly. On the other hand, its fracture mechanical properties, as of yet, have not been described sufficiently. Therefore, a fracture analysis has been performed. The crack deflection under three point bending conditions has been investigated numerically as well as experimentally. The numerical approach is based on a combination of the common finite element analysis and a multi-parameter form of the maximum tangential stress criterion. This generalized method is suitable especially for materials with specific (elasto-plastic, quasi-brittle etc.) fracture behaviour. The over-deterministic method together with the Williams expansion is applied to approximate selected stress tensor components around the crack tip. In this work, the influence of the eccentric crack is also discussed. In the conclusions, several recommendations about using single-parameter/multi-parameter fracture mechanics are stated.
Rocznik
Strony
79--87
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
  • Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics, Institute of Physics of Materials, Brno, Czech Republic
autor
  • Academy of Sciences of the Czech Republic, Institute of Physics of Materials, Brno, Czech Republic and Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics, Brno, Czech Republic
  • Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics, Brno, Czech Republic
  • Brno University of Technology, Faculty of Civil Engineering, Institute of Building Testing, Brno, Czech Republic
Bibliografia
  • 1.Aliha, M.R.M. & Ayatollahi, M.R. (2012) Analysis of fracture initiation angle in some cracked ceramics using the generalized maximum tangential stress criterion. International Journal of Solids and Structures, 49(13), 1877-1883. doi: 10.1016/j.ijsolstr.2012.03.029.
  • 2.ANSYS Program Documentation (2019) Houston: Swanson Analysis System, Inc.
  • 3.Ayatollahi, M.R. & Nejati, M. (2011a) An over-deterministic method for calculation of coefficients of crack tip asymptotic field from finite element analysis. Fatigue and Fracture of Engineering Materials and Structures, 34(3), 159-176. doi: 10.1111/j.1460-2695.2010.01504.x.
  • 4.Ayatollahi, M.R. & Nejati, M. (2011b) Determination of NSIFs and coefficients of higher order terms for sharp notches using finite element method. International Journal of Mechanical Sciences, 53(3), 164-177. doi: 10.1016/j.ijmecsci.2010.12.005.
  • 5.Berto, F. & Lazzarin, P. (2010) On higher order terms in the crack tip stress field. International Journal of Fracture, 161(2), 221-226. doi: 10.1007/s10704-010-9443-3.
  • 6.Du, Z.Z. & Hancock, J.W. (1991) The effect of non-singular stresses on crack-tip constraint. Journal of the Mechanics and Physics of Solids, 39(4), 555-567. doi: 10.1016/0022-5096(91)90041-L.
  • 7.Erdogan, F. & Sih, G.C. (1963) On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering, 55(6), 519-525.
  • 8.Hou, C. et al. (2016) Determination of fracture parameters in center cracked circular discs of concrete under diametral loading: A numerical analysis and experimental results. Theoretical and Applied Fracture Mechanics, 85, 355-366.
  • 9.Karihaloo, B.L. (1999) Size effect in shallow and deep notched quasi-brittle structures. International Journal of Fracture, 95(1-4), 379-390. doi: 10.1007/978-94-011-4659-3_21.
  • 10.Karihaloo, B.L. & Xiao, Q.Z. (2001) Accurate determination of the coefficients of elastic crack tip asymptotic field by a hybrid crack element with p-adaptivity. Engineering Fracture Mechanics, 68(15), 1609-1630. doi: 10.1016/S0013-7944(01)00063-7.
  • 11.Li, X.H. et al. (2018) Instability of cracks initiation from a mixed-mode crack tip with iso-stress intensity factors K I and K II. 96(May), 262-271. doi: 10.1016/j.tafmec.2018.05.004.
  • 12.Malíková, L. (2015) Multi-parameter fracture criteria for the estimation of crack propagation direction applied to a mixed-mode geometry. Engineering Fracture Mechanics, 143. doi: 10.1016/ j.engfracmech.2015.06.029.
  • 13.Malíková, L. & Veselý, V. (2015) The influence of higher order terms of Williams series on a more accurate description of stress fields around the crack tip. Fatigue and Fracture of Engineering Materials and Structures, 38(1), 91-103. doi: 10.1111/ffe.12221.
  • 14.Malíková, L. & Veselý, V. (2017) Influence of the elastic mismatch on crack propagation in a silicate-based composite. Theoretical and Applied Fracture Mechanics, 91. doi: 10.1016/j.tafmec. 2017.03.004.
  • 15.Růžička, V., Malíková, L. & Seitl, S. (2017) Over-deterministic method: The influence of rounding numbers on the accuracy of the values of williams’ expansion terms. Frattura ed Integrita Strutturale, 11(42). doi: 10.3221/IGF-ESIS.42.14.
  • 16.Seweryn, A. & Lukaszewicz, A. (2002) Verification of brittle fracture criteria for elements with V-shaped notches. Engineering Fracture Mechanics, 69, 1487-1510.
  • 17.Sih, G.C. & Ho, J.W. (1991) Sharp notch fracture strength characterized by critical energy density. Journal of Theoretical and Applied Fracture Mechanics, 16, 179-214.
  • 18.Smith, D.J., Ayatollahi, M.R. & Pavier, M.J. (2001) The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading. Fatigue and Fracture of Engineering Materials and Structures, 24(2), 137-150.
  • 19.Su, R.K.L. & Fok, S.L. (2007) Determination of coefficients of the crack tip asymptotic field by fractal hybrid finite elements. 74, 1649-1664. doi: 10.1016/j.engfracmech.2006.09.009.
  • 20.Susmel, L. & Taylor, D. (2008) The theory of critical distances to predict static strength of notched brittle components subjected to mixed-mode loading. Engineering Fracture Mechanics, 75, 534-550.
  • 21.Šestáková, L. (2013) How to enhance efficiency and accuracy of the over-deterministic method used for determination of the coefficients of the higher-order terms in williams expansion. Applied Mechanics and Materials. doi: 10.4028/www.scientific.net/AMM.245.120.
  • 22.Tong, P., Pian, T.H. & Lasry, S.J. (1973) A hybrid-element approach to crack problems in plane elasticity. International Journal of Numerical Methods in Engineering, 7, 297-308.
  • 23.Veselý, V. et al. (2015) Multi-parameter crack tip stress state description for evaluation of nonlinear zone width in silicate composite specimens in component splitting/bending test geometry. Fatigue and Fracture of Engineering Materials and Structures, 38(2), 200-214. doi: 10.1111/ffe.12170.
  • 24.Williams, M.L. (1957) On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics, 24, 109-114.
  • 25.Wolfram Mathematica Documentation Center (2018). Champaign: Wolfram Research.
  • 26.Xiao, Q.Z., Karihaloo, B.L. & Liu, X.Y. (2004) Direct determination of SIF and higher order terms of mixed. International Journal of Fracture, 2(3), 207-225.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1c51a5bf-3679-4c81-9ce4-5ef954775c74
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