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The fracture mechanics formulas for split-tension strips

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EN
Abstrakty
EN
The notched beams have been commonly used in concrete fracture. In this study, the splitting-strip specimens, which have some advantages – compactness and lightness – compared to beams, are analyzed for effective crack models. Using the Fourier integrals and Fourier series, a formula for the maximum tensile strength of concrete is first derived for an un-notched splitting-strip in the plane of loading. Subsequently, the linear elastic fracture mechanics formulas of the splitting-strip specimens, namely the stress intensity factor KI , the crack mouth opening displacement CMOD, and the crack opening displacement profile COD, are determined for different load-distributed widths via the weight function.
Rocznik
Strony
607--619
Opis fizyczny
Bibliogr. 33 poz., rys., tab.
Twórcy
autor
Bibliografia
  • 1. Anderson T.L., 2005, Fracture Mechanics: Fundamentals and Applications, CRC Press, Boca Raton
  • 2. Barber J.R., 2002, Elasticity, Kluwer Academic Publishers, Dordrecht
  • 3. Basu S., Mandal S.C., 2016, P-wave interaction with a pair of rigid strips embedded in an orthotropic strip, Journal of Theoretical and Applied Mechanics, 54, 2, 579-592
  • 4. Bazant Z.P., Kazemi M.T., 1990, Determination of fracture energy, process zone length, and brittleness number from size effect with application to rock and concrete, International Journal of Fracture, 44, 2, 111-131
  • 5. Bueckner H.F., 1970, A novel principle for the computation of stress intensity factors, Zeitschrift f¨ur Angewandte Mathematik and Mechanik, 50, 9, 529-546
  • 6. Carneiro F.L., Barcellos A., 1949, Tensile strength of concrete (in French), RILEM Bulletin, 13, 98-125
  • 7. Davies J.D., Bose D.K., 1968, Stress distribution in splitting tests, ACI Journal, 65, 662-669
  • 8. Filon L.N.G., 1903, On the approximate solution of the bending of a beam of rectangular section, Transaction of the Royal Society of London Series (A), 201, 63-155
  • 9. Gdoutos E.E., 1990, Fracture Mechanics Criteria and Applications, Kluwer Academic Publishers, London
  • 10. Girkmann K., 1959, Plate and Shell Structures (in German), Springer-Verlag Wien
  • 11. Ince R., 2010, Determination of concrete fracture parameters based on two-parameter and size effect models using split-tension cubes, Engineering Fracture Mechanics, 77, 2233-2250
  • 12. Ince R., 2012a, Determination of concrete fracture parameters based on peak-load method with diagonal split-tension cubes, Engineering Fracture Mechanics, 82, 100-114
  • 13. Ince R., 2012b, Determination of the fracture parameters of the double-K model using weight functions of split-tension specimens, Engineering Fracture Mechanics, 96, 416-432
  • 14. Ince R., Gor M., Eren M.E., Alyamac¸ K.E. ¨ , 2016, The effect of size on the splitting strength of cubic concrete members, Strain, 51, 2, 135-146
  • 15. Ince R., Gor M., Alyamac¸ K.E., Eren M.E. , 2016, Multi-fractal scaling law for split strength of concrete cubes, Magazine of Concrete Research, 68, 3, 141-150
  • 16. Isida M., 1971, Effect of width and length on stress intensity factors of internally cracked plates under various boundary conditions, International Journal of Fracture, 7, 3, 301-316
  • 17. Jenq Y.S., Shah S.P., 1985, Two-parameter fracture model for concrete, Journal of Engineering Mechanics, ASCE, 111, 10, 1227-1241
  • 18. Marguerre K., 1931, Pressure distribution by an elastic layer on a rigid rough layer (in German), Ingenieur-Archiv, 2, 108-117
  • 19. Mirsalimov V.M., Hasanov S.G., 2015, Effect of damages on crack development in coating on elastic foundation, Journal of Theoretical and Applied Mechanics, 53, 4, 823-836
  • 20. Modeer M., 1979, A fracture mechanics approach to failure analyses of concrete materials, Report TVBM-1001, Division of Building Materials, University of Lund, Sweden
  • 21. Nallathambi P., Karihaloo B.L., 1986, Determination of the specimen size independent fracture toughness of plain concrete, Magazine of Concrete Research, 38, 135, 67-76
  • 22. Neville A.M., 2011, Properties of Concrete, Pearson Education Limited, Essex, UK.
  • 23. Nilsson S., 1961, The tensile strength of concrete determined by splitting tests on cubes, RILEM Bulletin, 11, 63-67
  • 24. Rice J.R., 1972, Some remarks on elastic crack-tip stress fields, International Journal of Solid Structures, 8, 751-758
  • 25. Rocco C., Guinea G.V., Planas J., Elices M., 1995, The effect of the boundary conditions on the cylinder splitting strength, Proceedings of FRAMCOS-2: Aedificatio Publishers, 75-84, Freiburg, Germany
  • 26. Schleeh W.S., 1978, Determination of the tensile strength of concrete (in German), Beton, 28, 2, 57-62
  • 27. Tada H., Paris P.C., Irwin G.R., 2000, Stress Analysis of Cracks Handbook, ASME Press, New York
  • 28. Tang T., 1994, Effect of load-distributed width on split tension of unnotched and notched cylindrical specimens, Journal of Testing and Evaluation, ASTM, 22, 401-409
  • 29. Tang T., Ouyang C., Shah S.P., 1996, A simple method for determining material fracture parameters from peak loads, ACI Materials Journal, 93, 2, 147-157
  • 30. Tang T., Shah S.P., Ouyang C., 1992, Fracture mechanics and size effect of concrete in tension, Journal of Structural Engineering, ASCE, 118, 3169-3185
  • 31. Timoshenko S.P., Godier J.N., 1970, Theory of Elasticity, Mc-Graw Hill, New York, USA
  • 32. Tweed J., Das S.C., Rooke D.P., 1972, The stress intensity factor of a radial crack in a finite elastic disc, International Journal of Engineering Science, 10, 323-335
  • 33. Xu S., Reinhardt H.W., 1999, Determination of double-K criterion for crack propagation in quasi-brittle fracture, Part I: Experimental investigation of crack propagation, International Journal of Fracture, 98, 2, 111-149
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-8ec547d3-f0b4-464d-b120-30f381c80a28
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