How to cite this paper
Torabi, A. (2013). The Equivalent Material Concept: Application to failure of O-notches.Engineering Solid Mechanics, 1(4), 129-140.
Refrences
Aliha, M. R. M., & Ayatollahi, M. R. (2008). On mixed-mode I/II crack growth in dental resin materials. Scripta Materialia, 59(2), 258-261.
Aliha, M. R. M., & Ayatollahi, M. R. (2009). Brittle fracture evaluation of a fine grain cement mortar in combined tensile?shear deformation. Fatigue & Fracture of Engineering Materials & Structures, 32(12), 987-994.
Aliha, M. R. M., Ayatollahi, M. R., & Pakzad, R. (2008). Brittle fracture analysis using a ring-shape specimen containing two angled cracks. International Journal of Fracture, 153(1), 63-68.
ASTM E399 (1990). Standard test method for plane-strain fracture toughness of metallic materials.
Ayatollahi, M. R., & Aliha, M. R. M. (2008a). On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials. Engineering Fracture Mechanics, 75(16), 4631-4641.
Ayatollahi, M. R., & Aliha, M. R. M. (2008b). Mixed mode fracture analysis of polycrystalline graphite–a modified MTS criterion. Carbon, 46(10), 1302-1308.
Ayatollahi, M. R., & Aliha, M. R. M. (2009a). Mixed mode fracture in soda lime glass analyzed by using the generalized MTS criterion. International Journal of Solids and Structures, 46(2), 311-321.
Ayatollahi, M. R., & Aliha, M. R. M. (2009b). Analysis of a new specimen for mixed mode fracture tests on brittle materials. Engineering Fracture Mechanics, 76(11), 1563-1573.
Ayatollahi, M. R., Aliha, M. R. M., & Hassani, M. M. (2006). Mixed mode brittle fracture in PMMA—an experimental study using SCB specimens. Materials Science and Engineering: A, 417(1), 348-356.
Ayatollahi, M. R., Berto, F., & Lazzarin, P. (2011). Mixed mode brittle fracture of sharp and blunt V-notches in polycrystalline graphite. Carbon, 49(7), 2465-2474.
Ayatollahi, M. R., & Sistaninia, M. (2011). Mode ?? fracture study of rocks using Brazilian disk specimens. International Journal of Rock Mechanics and Mining Sciences, 48(5), 819-826.
Ayatollahi, M. R., & Torabi, A. R. (2009). A criterion for brittle fracture in U-notched components under mixed mode loading. Engineering Fracture Mechanics, 76(12), 1883-1896.
Ayatollahi, M. R., & Torabi, A. R. (2010). Brittle fracture in rounded-tip V-shaped notches. Materials & Design, 31(1), 60-67.
Ayatollahi, M. R., & Torabi, A. R. (2010). Tensile fracture in notched polycrystalline graphite specimens. Carbon, 48(8), 2255-2265.
Ayatollahi, M. R., & Torabi, A. R. (2010). Investigation of mixed mode brittle fracture in rounded-tip V-notched components. Engineering Fracture Mechanics, 77(16), 3087-3104.
Ayatollahi, M. R., & Torabi, A. R. (2010). Determination of mode II fracture toughness for U-shaped notches using Brazilian disc specimen. International Journal of Solids and Structures, 47(3), 454-465.
Ayatollahi, M. R., & Torabi, A. R. (2011). Failure assessment of notched polycrystalline graphite under tensile-shear loading. Materials Science and Engineering: A, 528(18), 5685-5695.
Ayatollahi, M. R., & Torabi, A. R. (2011). Experimental verification of RV-MTS model for fracture in soda-lime glass weakened by a V-notch. Journal of mechanical science and technology, 25(10), 2529-2534.
Ayatollahi, M. R., Aliha, M. R. M., & Saghafi, H. (2011a). An improved semi-circular bend specimen for investigating mixed mode brittle fracture. Engineering Fracture Mechanics, 78(1), 110-123.
Ayatollahi, M. R., Torabi, A. R., & Azizi, P. (2011b). Experimental and theoretical assessment of brittle fracture in engineering components containing a sharp V-notch. Experimental mechanics, 51(6), 919-932.
Berto, F., & Lazzarin, P. (2009). A review of the volume-based strain energy density approach applied to V-notches and welded structures. Theoretical and Applied Fracture Mechanics, 52(3), 183-194.
Berto, F., Lazzarin, P., & Matvienko, Y. G. (2007). J-integral evaluation for U-and V-blunt notches under Mode I loading and materials obeying a power hardening law. International Journal of Fracture, 146(1-2), 33-51.
Ellyin, F., & Kujawski, D. (1989). Generalization of notch analysis and its extension to cyclic loading. Engineering Fracture Mechanics, 32(5), 819-826.
Glinka, G. (1985). Energy density approach to calculation of inelastic strain-stress near notches and cracks. Engineering Fracture Mechanics, 22(3), 485-508.
G?mez, F. J., & Elices, M. (2003). Fracture of components with V-shaped notches. Engineering fracture mechanics, 70(14), 1913-1927.
G?mez, F. J., & Elices, M. (2003). A fracture criterion for sharp V-notched samples. International Journal of Fracture, 123(3-4), 163-175.
G?mez, F. J., & Elices, M. (2004). A fracture criterion for blunted V-notched samples. International Journal of Fracture, 127(3), 239-264.
G?mez, F. J., Elices, M., & Valiente, A. (2000). Cracking in PMMA containing U?shaped notches. Fatigue & Fracture of Engineering Materials & Structures, 23(9), 795-803.
G?mez, F. J., Elices, M., Berto, F., & Lazzarin, P. (2008). A generalised notch stress intensity factor for U-notched components loaded under mixed mode. Engineering Fracture Mechanics, 75(16), 4819-4833.
G?mez, F. J., Elices, M., Berto, F., & Lazzarin, P. (2009). Fracture of U-notched specimens under mixed mode: experimental results and numerical predictions. Engineering Fracture Mechanics, 76(2), 236-249.
G?mez, F. J., Elices, M., Berto, F., & Lazzarin, P. (2009). Fracture of V-notched specimens under mixed mode (I+ II) loading in brittle materials. International journal of fracture, 159(2), 121-135.
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. International Journal of Fracture, 112(3), 275-298.
Lazzarin, P., Berto, F., & Radaj, D. (2009). Fatigue?relevant stress field parameters of welded lap joints: pointed slit tip compared with keyhole notch. Fatigue & Fracture of Engineering Materials & Structures, 32(9), 713-735.
Saghafi, H., Ayatollahi, M. R., & Sistaninia, M. (2010). A modified MTS criterion (MMTS) for mixed-mode fracture toughness assessment of brittle materials. Materials Science and Engineering: A, 527(21), 5624-5630.
Sih, G. C., & Ho, J. W. (1991). Sharp notch fracture strength characterized by critical energy density. Theoretical and Applied Fracture Mechanics, 16(3), 179-214.
Smith, D. J., Ayatollahi, M. R., Davenport, J. C. W., & Swankie, T. D. (1998). Mixed mode brittle and ductile fracture of a high strength rotor steel at room temperature. International journal of fracture, 94(3), 235-250.
Strandberg, M. (2002). Fracture at V-notches with contained plasticity. Engineering Fracture Mechanics, 69(3), 403-415.
Susmel, L., & Taylor, D. (2008). On the use of the Theory of Critical Distances to predict static failures in ductile metallic materials containing different geometrical features. Engineering Fracture Mechanics, 75(15), 4410-4421.
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(3), 534-550.
Torabi, A. R. (2012). Estimation of tensile load-bearing capacity of ductile metallic materials weakened by a V-notch: The equivalent material concept. Materials Science and Engineering: A, 536, 249-255.
Torabi, A. R. (2013a). On the use of the Equivalent Material Concept to predict tensile load-bearing capacity of ductile steel bolts containing V-shaped threads. Engineering Fracture Mechanics, 97, 136-147.
Torabi, A. R. (2013b). Ultimate Bending Strength Evaluation of U-Notched Ductile Steel Samples Under Large-Scale Yielding Conditions. International Journal of Fracture, 1-8.
Aliha, M. R. M., & Ayatollahi, M. R. (2009). Brittle fracture evaluation of a fine grain cement mortar in combined tensile?shear deformation. Fatigue & Fracture of Engineering Materials & Structures, 32(12), 987-994.
Aliha, M. R. M., Ayatollahi, M. R., & Pakzad, R. (2008). Brittle fracture analysis using a ring-shape specimen containing two angled cracks. International Journal of Fracture, 153(1), 63-68.
ASTM E399 (1990). Standard test method for plane-strain fracture toughness of metallic materials.
Ayatollahi, M. R., & Aliha, M. R. M. (2008a). On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials. Engineering Fracture Mechanics, 75(16), 4631-4641.
Ayatollahi, M. R., & Aliha, M. R. M. (2008b). Mixed mode fracture analysis of polycrystalline graphite–a modified MTS criterion. Carbon, 46(10), 1302-1308.
Ayatollahi, M. R., & Aliha, M. R. M. (2009a). Mixed mode fracture in soda lime glass analyzed by using the generalized MTS criterion. International Journal of Solids and Structures, 46(2), 311-321.
Ayatollahi, M. R., & Aliha, M. R. M. (2009b). Analysis of a new specimen for mixed mode fracture tests on brittle materials. Engineering Fracture Mechanics, 76(11), 1563-1573.
Ayatollahi, M. R., Aliha, M. R. M., & Hassani, M. M. (2006). Mixed mode brittle fracture in PMMA—an experimental study using SCB specimens. Materials Science and Engineering: A, 417(1), 348-356.
Ayatollahi, M. R., Berto, F., & Lazzarin, P. (2011). Mixed mode brittle fracture of sharp and blunt V-notches in polycrystalline graphite. Carbon, 49(7), 2465-2474.
Ayatollahi, M. R., & Sistaninia, M. (2011). Mode ?? fracture study of rocks using Brazilian disk specimens. International Journal of Rock Mechanics and Mining Sciences, 48(5), 819-826.
Ayatollahi, M. R., & Torabi, A. R. (2009). A criterion for brittle fracture in U-notched components under mixed mode loading. Engineering Fracture Mechanics, 76(12), 1883-1896.
Ayatollahi, M. R., & Torabi, A. R. (2010). Brittle fracture in rounded-tip V-shaped notches. Materials & Design, 31(1), 60-67.
Ayatollahi, M. R., & Torabi, A. R. (2010). Tensile fracture in notched polycrystalline graphite specimens. Carbon, 48(8), 2255-2265.
Ayatollahi, M. R., & Torabi, A. R. (2010). Investigation of mixed mode brittle fracture in rounded-tip V-notched components. Engineering Fracture Mechanics, 77(16), 3087-3104.
Ayatollahi, M. R., & Torabi, A. R. (2010). Determination of mode II fracture toughness for U-shaped notches using Brazilian disc specimen. International Journal of Solids and Structures, 47(3), 454-465.
Ayatollahi, M. R., & Torabi, A. R. (2011). Failure assessment of notched polycrystalline graphite under tensile-shear loading. Materials Science and Engineering: A, 528(18), 5685-5695.
Ayatollahi, M. R., & Torabi, A. R. (2011). Experimental verification of RV-MTS model for fracture in soda-lime glass weakened by a V-notch. Journal of mechanical science and technology, 25(10), 2529-2534.
Ayatollahi, M. R., Aliha, M. R. M., & Saghafi, H. (2011a). An improved semi-circular bend specimen for investigating mixed mode brittle fracture. Engineering Fracture Mechanics, 78(1), 110-123.
Ayatollahi, M. R., Torabi, A. R., & Azizi, P. (2011b). Experimental and theoretical assessment of brittle fracture in engineering components containing a sharp V-notch. Experimental mechanics, 51(6), 919-932.
Berto, F., & Lazzarin, P. (2009). A review of the volume-based strain energy density approach applied to V-notches and welded structures. Theoretical and Applied Fracture Mechanics, 52(3), 183-194.
Berto, F., Lazzarin, P., & Matvienko, Y. G. (2007). J-integral evaluation for U-and V-blunt notches under Mode I loading and materials obeying a power hardening law. International Journal of Fracture, 146(1-2), 33-51.
Ellyin, F., & Kujawski, D. (1989). Generalization of notch analysis and its extension to cyclic loading. Engineering Fracture Mechanics, 32(5), 819-826.
Glinka, G. (1985). Energy density approach to calculation of inelastic strain-stress near notches and cracks. Engineering Fracture Mechanics, 22(3), 485-508.
G?mez, F. J., & Elices, M. (2003). Fracture of components with V-shaped notches. Engineering fracture mechanics, 70(14), 1913-1927.
G?mez, F. J., & Elices, M. (2003). A fracture criterion for sharp V-notched samples. International Journal of Fracture, 123(3-4), 163-175.
G?mez, F. J., & Elices, M. (2004). A fracture criterion for blunted V-notched samples. International Journal of Fracture, 127(3), 239-264.
G?mez, F. J., Elices, M., & Valiente, A. (2000). Cracking in PMMA containing U?shaped notches. Fatigue & Fracture of Engineering Materials & Structures, 23(9), 795-803.
G?mez, F. J., Elices, M., Berto, F., & Lazzarin, P. (2008). A generalised notch stress intensity factor for U-notched components loaded under mixed mode. Engineering Fracture Mechanics, 75(16), 4819-4833.
G?mez, F. J., Elices, M., Berto, F., & Lazzarin, P. (2009). Fracture of U-notched specimens under mixed mode: experimental results and numerical predictions. Engineering Fracture Mechanics, 76(2), 236-249.
G?mez, F. J., Elices, M., Berto, F., & Lazzarin, P. (2009). Fracture of V-notched specimens under mixed mode (I+ II) loading in brittle materials. International journal of fracture, 159(2), 121-135.
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. International Journal of Fracture, 112(3), 275-298.
Lazzarin, P., Berto, F., & Radaj, D. (2009). Fatigue?relevant stress field parameters of welded lap joints: pointed slit tip compared with keyhole notch. Fatigue & Fracture of Engineering Materials & Structures, 32(9), 713-735.
Saghafi, H., Ayatollahi, M. R., & Sistaninia, M. (2010). A modified MTS criterion (MMTS) for mixed-mode fracture toughness assessment of brittle materials. Materials Science and Engineering: A, 527(21), 5624-5630.
Sih, G. C., & Ho, J. W. (1991). Sharp notch fracture strength characterized by critical energy density. Theoretical and Applied Fracture Mechanics, 16(3), 179-214.
Smith, D. J., Ayatollahi, M. R., Davenport, J. C. W., & Swankie, T. D. (1998). Mixed mode brittle and ductile fracture of a high strength rotor steel at room temperature. International journal of fracture, 94(3), 235-250.
Strandberg, M. (2002). Fracture at V-notches with contained plasticity. Engineering Fracture Mechanics, 69(3), 403-415.
Susmel, L., & Taylor, D. (2008). On the use of the Theory of Critical Distances to predict static failures in ductile metallic materials containing different geometrical features. Engineering Fracture Mechanics, 75(15), 4410-4421.
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(3), 534-550.
Torabi, A. R. (2012). Estimation of tensile load-bearing capacity of ductile metallic materials weakened by a V-notch: The equivalent material concept. Materials Science and Engineering: A, 536, 249-255.
Torabi, A. R. (2013a). On the use of the Equivalent Material Concept to predict tensile load-bearing capacity of ductile steel bolts containing V-shaped threads. Engineering Fracture Mechanics, 97, 136-147.
Torabi, A. R. (2013b). Ultimate Bending Strength Evaluation of U-Notched Ductile Steel Samples Under Large-Scale Yielding Conditions. International Journal of Fracture, 1-8.