How to cite this paper
Moussaoui, M., Amroune, S., Tahiri, A & Hachi, B. (2020). Brittle fracture investigation from disc specimen weakened by U- notch in mixed mode I + II.Engineering Solid Mechanics, 8(4), 337-352.
Refrences
Akbardoost, J., Ayatollahi, M. R., Aliha, M. R. M., Pavier, M. J., & Smith, D. J. (2014). Size-dependent fracture behavior of Guiting limestone under mixed mode loading. International Journal of Rock Mechanics and Mining Sciences, 71, 369-380.
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., Bahmani, A., & Akhondi, S. (2016). Mixed mode fracture toughness testing of PMMA with different three-point bend type specimens. European Journal of Mechanics-A/Solids, 58, 148-162.
Aliha, M. R. M., Berto, F., Mousavi, A., & Razavi, S. M. J. (2017). On the applicability of ASED criterion for predicting mixed mode I+ II fracture toughness results of a rock material. Theoretical and Applied Fracture Mechanics, 92, 198-204.
Aliha, M. R. M., Heidari-Rarani, M., Shokrieh, M. M., & Ayatollahi, M. R. (2012). Experimental determination of tensile strength and K (IC) of polymer concretes using semi-circular bend(SCB) specimens. Structural Engineering and Mechanics, 43(6), 823-833.
Ameri, M., Mansourian, A., Pirmohammad, S., Aliha, M. R. M., & Ayatollahi, M. R. (2012). Mixed mode fracture resistance of asphalt concrete mixtures. Engineering Fracture Mechanics, 93, 153-167.
Aliha, M. R. M., Hosseinpour, G. R., & Ayatollahi, M. R. (2013). Application of cracked triangular specimen subjected to three-point bending for investigating fracture behavior of rock materials. Rock mechanics and rock engineering, 46(5), 1023-1034.
Aliha, M. R. M., Mousavi, S. S., & Ghoreishi, S. M. N. (2019). Fracture load prediction under mixed mode I+ II using a stress based method for brittle materials tested with the asymmetric four-point bend specimen. Theoretical and Applied Fracture Mechanics, 103, 102249.
Aliha, M., Ashtari, R., & Ayatollahi, M. R. (2006). Mode I and mode II fracture toughness testing for a coarse grain marble. Paper presented at the Applied mechanics and materials.
Aliha, M., Berto, F., Bahmani, A., & Gallo, P. (2017). Mixed mode I/II fracture investigation of Perspex based on the averaged strain energy density criterion. Physical Mesomechanics, 20(2), 149-156.
Awaji, H., & Sato, S. (1978). Combined mode fracture toughness measurement by the disk test. Journal of Engineering Materials and Technology, 100(2), 175-182.
Ayatollahi, M. R., & Aliha, M. R. M. (2009). 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., & Aliha, M. (2007). Fracture toughness study for a brittle rock subjected to mixed mode I/II loading. International Journal of Rock Mechanics and Mining Sciences, 44(4), 617-624.
Ayatollahi, M., & Aliha, M. (2008). Mixed mode fracture analysis of polycrystalline graphite–a modified MTS criterion. Carbon, 46(10), 1302-1308.
Ayatollahi, M., & Torabi, A. (2010). Investigation of mixed mode brittle fracture in rounded-tip V-notched components. Engineering Fracture Mechanics, 77(16), 3087-3104.
Ayatollahi, M., Aliha, M., & Hassani, M. (2006). Mixed mode brittle fracture in PMMA—an experimental study using SCB specimens. Materials Science and Engineering: A, 417(1-2), 348-356.
Bahmani, A., Aliha, M. R. M., Sarbijan, M. J., & Mousavi, S. S. (2020). An extended edge-notched disc bend (ENDB) specimen for mixed-mode I+ II fracture assessments. International Journal of Solids and Structures, 193, 239-250.
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. (2014). Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches. Materials Science and Engineering: R: Reports, 75, 1-48.
Berto, F., Campagnolo, A., & Ayatollahi, M. R. (2015). Brittle fracture of rounded V-notches in isostatic graphite under static multiaxial loading. Physical Mesomechanics, 18(4), 283-297.
Berto, F., Campagnolo, A., & Gallo, P. (2015). Brittle failure of graphite weakened by V-notches: a review of some recent results under different loading modes. Strength of Materials, 47(3), 488-506.
Berto, F., Lazzarin, P., Gómez, F., & Elices, M. (2007). Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’concept. International Journal of fracture, 4(148), 415-433.
Berto, F., Razavi, S., & Ayatollahi, M. (2017). Some methods for rapid evaluation of the mixed mode NSIFs. Procedia Structural Integrity, 3, 126-134.
Campagnolo, A., Berto, F., & Leguillon, D. (2016). Fracture assessment of sharp V-notched components under Mode II loading: a comparison among some recent criteria. Theoretical and Applied Fracture Mechanics, 85, 217-226.
Chang, S.-H., Lee, C.-I., & Jeon, S. (2002). Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens. Engineering geology, 66(1-2), 79-97.
Chen, D., & Ozaki, S. (2008). Investigation of failure criteria for a sharp notch. International Journal of fracture, 152(2), 63-74.
Choi, S., Zhu, D., & Miller, R. (2005). Fracture behavior under mixed-mode loading of ceramic plasma-sprayed thermal barrier coatings at ambient and elevated temperatures. Engineering Fracture Mechanics, 72(13), 2144-2158.
Creager, M., & Paris, P. C. (1967). Elastic field equations for blunt cracks with reference to stress corrosion cracking. International Journal of Fracture Mechanics, 3(4), 247-252.
Erdogan, F., & Sih, G. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of basic engineering, 85(4), 519-525.
Fakhri, M., Amoosoltani, E., & Aliha, M. R. M. (2017). Crack behavior analysis of roller compacted concrete mixtures containing reclaimed asphalt pavement and crumb rubber. Engineering Fracture Mechanics, 180, 43-59.
Fodil, L., El Azzizi, A., & Hadj Meliani, M. (2016). Estimation of Mixed-Mode Stress Intensity Factors with Presence of the Confinement Parameters T-Stress and A3. Paper presented at the Advanced Engineering Forum.
Gómez, F., Elices, M., Berto, F., & Lazzarin, P. (2007). Local strain energy to assess the static failure of U-notches in plates under mixed mode loading. International Journal of fracture, 145(1), 29-45.
Gómez, F., 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.
HUSSAIN, M. (1974). Strain energy release rate for a crack under combined mode I and mode II. Franture Analysis ASTM STP 560, 2-28.
Khan, S. M., & Khraisheh, M. K. (2000). Analysis of mixed mode crack initiation angles under various loading conditions. Engineering Fracture Mechanics, 67(5), 397-419.
Kullmer, G., & Richard, H. (2006). Influence of the root radius of crack-like notches on the fracture load of brittle components. Archive of Applied Mechanics, 76(11-12), 711-723. doi: https://doi.org/10.1007/s00419-006-0089-6
Lazzarin, P., & Berto, F. (2005). Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. International Journal of fracture, 135(1-4), 161-185.
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., & Ayatollahi, M. (2013). Brittle failure of inclined key‐hole notches in isostatic graphite under in‐plane mixed mode loading. Fatigue & Fracture of Engineering Materials & Structures, 36(9), 942-955.
Lazzarin, P., Berto, F., & Zappalorto, M. (2010). Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: Theoretical bases and applications. International Journal of Fatigue, 32(10), 1559-1567.
Lazzarin, P., Berto, F., Elices, M., & Gómez, J. (2009). Brittle failures from U‐and V‐notches in mode I and mixed, I+ II, mode: a synthesis based on the strain energy density averaged on finite‐size volumes. Fatigue & Fracture of Engineering Materials & Structures, 32(8), 671-684.
Lazzarin, P., Berto, F., Gomez, F., & Zappalorto, M. (2008). Some advantages derived from the use of the strain energy density over a control volume in fatigue strength assessments of welded joints. International Journal of Fatigue, 30(8), 1345-1357.
Lim, I., Johnston, I., Choi, S., & Boland, J. (1994). Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 2—mixed-mode. Paper presented at the International journal of rock mechanics and mining sciences & geomechanics abstracts.
Luo, P., Zhang, Q., Bao, Y., & Zhou, A. (2018). Fatigue evaluation of rib-to-deck welded joint using averaged strain energy density method. Engineering Structures, 177, 682-694.
Mirsayar, M. M., Berto, F., Aliha, M. R. M., & Park, P. (2016). Strain-based criteria for mixed-mode fracture of polycrystalline graphite. Engineering Fracture Mechanics, 156, 114-123.
Mirsayar, M. M., Razmi, A., Aliha, M. R. M., & Berto, F. (2018). EMTSN criterion for evaluating mixed mode I/II crack propagation in rock materials. Engineering Fracture Mechanics, 190, 186-197.
Mirsayar, M., & Samaei, A. (2014). Application of maximum tangential stress criterion in determination of fracture initiation angles of silicon/glass anodic bonds. Engineering Solid Mechanics, 2(3), 145-150.
Mirsayar, M., Shi, X., & Zollinger, D. (2017). Evaluation of interfacial bond strength between Portland cement concrete and asphalt concrete layers using bi-material SCB test specimen. Engineering Solid Mechanics, 5(4), 293-306.
Mitchell, N. B., Jr. (1961). The Indirect Tension Test for Concrete. Materials Research and Standards, ASTM, 1(10), 780-787.
Mousavi, A., Aliha, M. R. M., & Imani, D. M. (2020b). Effects of biocompatible Nanofillers on mixed-mode I and II fracture toughness of PMMA base dentures. Journal of the Mechanical Behavior of Biomedical Materials, 103, 103566.
Mousavi, S. S., Aliha, M. R. M., & Imani, D. M. (2020a). On the use of edge cracked short bend beam specimen for PMMA fracture toughness testing under mixed-mode I/II. Polymer Testing, 81, 106199.
Neuber, H., & Kerbspannungslehre, B. (1958). Gottingen Heidelberg: Springer.
Priel, E., Yosibash, Z., & Leguillon, D. (2008). Failure initiation at a blunt V-notch tip under mixed mode loading. International Journal of fracture, 149(2), 143-173.
Radaj, D., & Vormwald, M. (2013). Advanced methods of fatigue assessment: Springer.
Razavi, S. M. J., Aliha, M. R. M., & Berto, F. (2018). Application of an average strain energy density criterion to obtain the mixed mode fracture load of granite rock tested with the cracked asymmetric four-point bend specimens. Theoretical and Applied Fracture Mechanics, 97, 419-425.
Richard, H. (1989). Specimens for investigating biaxial fracture and fatigue processes. Biaxial and multiaxial fatigue, EFG3, 217-229.
Richard, H. A., Fulland, M., & Sander, M. (2005). Theoretical crack path prediction. Fatigue & Fracture of Engineering Materials & Structures, 28(1‐2), 3-12.
Richard, H., & Benitz, K. (1983). A loading device for the creation of mixed mode in fracture mechanics. International Journal of fracture, 22(2), R55-R58.
Sapora, A., Cornetti, P., & Carpinteri, A. (2013). A Finite Fracture Mechanics approach to V-notched elements subjected to mixed-mode loading. Engineering Fracture Mechanics, 97, 216-226.
Seed, G., & Nowell, D. (1994). Use of the distributed dislocations method to determine the T‐stress. Fatigue & Fracture of Engineering Materials & Structures, 17(5), 605-618.
Shetty, D. K., Rosenfield, A. R., & Duckworth, W. H. (1987). Mixed-mode fracture in biaxial stress state: application of the diametral-compression (Brazilian disk) test. Engineering Fracture Mechanics, 26(6), 825-840.
Sih, G. (1973). Some basic problems in fracture mechanics and new concepts. Engineering Fracture Mechanics, 5(2), 365-377.
Sih, G. C. (1974). Strain-energy-density factor applied to mixed mode crack problems. International Journal of fracture, 10(3), 305-321.
Suresh, S., Shih, C., Morrone, A., & O'Dowd, N. (1990). Mixed‐mode fracture toughness of ceramic materials. Journal of the American Ceramic Society, 73(5), 1257-1267.
Tamine, T., C. C., T. Boukharouba, and G. Pluvinage (Writer). (1996). Crack initiation in pure shear mode II, Problems of Strength, Special Publication.
Torabi, A. R., Kalantari, M. H., & Aliha, M. R. M. (2018). Fracture analysis of dissimilar Al-Al friction stir welded joints under tensile/shear loading. Fatigue & Fracture of Engineering Materials & Structures, 41(9), 2040-2053.
Torabi, A., & Berto, F. (2014). Mixed mode fracture assessment of U-notched graphite Brazilian disk specimens by means of the local energy. Structural Engineering and Mechanics, 50(6), 723-740.
Torabi, A., & Pirhadi, E. (2015). Stress-based criteria for brittle fracture in key-hole notches under mixed mode loading. European Journal of Mechanics-A/Solids, 49, 1-12.
Torabi, A., Campagnolo, A., & Berto, F. (2015). Local strain energy density to predict mode II brittle fracture in Brazilian disk specimens weakened by V-notches with end holes. Materials & Design, 69, 22-29.
Torabi, A., Fakoor, M., & Pirhadi, E. (2014). Fracture analysis of U-notched disc-type graphite specimens under mixed mode loading. International Journal of Solids and Structures, 51(6), 1287-1298.
Williams, J., & Ewing, P. (1972). Fracture under complex stress—the angled crack problem. International Journal of Fracture Mechanics, 8(4), 441-446.
Xeidakis, G., Samaras, I., Zacharopoulos, D., & Papakaliatakis, G. (1996). Crack growth in a mixed-mode loading on marble beams under three point bending. International Journal of fracture, 79(2), 197-208.
Yosibash, Z. (2012). Failure criteria for brittle elastic materials Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation (pp. 185-220): Springer.
Yukio, U., Kazuo, I., Tetsuya, Y., & Mitsuru, A. (1983). Characteristics of brittle fracture under general combined modes including those under bi-axial tensile loads. Engineering Fracture Mechanics, 18(6), 1131-1158.
Zipf Jr, R. K., & Bieniawski, Z. (1986). Mixed mode testing for fracture toughness of coal based on critical-energy-density. Paper presented at the The 27th US Symposium on Rock Mechanics (USRMS).
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., Bahmani, A., & Akhondi, S. (2016). Mixed mode fracture toughness testing of PMMA with different three-point bend type specimens. European Journal of Mechanics-A/Solids, 58, 148-162.
Aliha, M. R. M., Berto, F., Mousavi, A., & Razavi, S. M. J. (2017). On the applicability of ASED criterion for predicting mixed mode I+ II fracture toughness results of a rock material. Theoretical and Applied Fracture Mechanics, 92, 198-204.
Aliha, M. R. M., Heidari-Rarani, M., Shokrieh, M. M., & Ayatollahi, M. R. (2012). Experimental determination of tensile strength and K (IC) of polymer concretes using semi-circular bend(SCB) specimens. Structural Engineering and Mechanics, 43(6), 823-833.
Ameri, M., Mansourian, A., Pirmohammad, S., Aliha, M. R. M., & Ayatollahi, M. R. (2012). Mixed mode fracture resistance of asphalt concrete mixtures. Engineering Fracture Mechanics, 93, 153-167.
Aliha, M. R. M., Hosseinpour, G. R., & Ayatollahi, M. R. (2013). Application of cracked triangular specimen subjected to three-point bending for investigating fracture behavior of rock materials. Rock mechanics and rock engineering, 46(5), 1023-1034.
Aliha, M. R. M., Mousavi, S. S., & Ghoreishi, S. M. N. (2019). Fracture load prediction under mixed mode I+ II using a stress based method for brittle materials tested with the asymmetric four-point bend specimen. Theoretical and Applied Fracture Mechanics, 103, 102249.
Aliha, M., Ashtari, R., & Ayatollahi, M. R. (2006). Mode I and mode II fracture toughness testing for a coarse grain marble. Paper presented at the Applied mechanics and materials.
Aliha, M., Berto, F., Bahmani, A., & Gallo, P. (2017). Mixed mode I/II fracture investigation of Perspex based on the averaged strain energy density criterion. Physical Mesomechanics, 20(2), 149-156.
Awaji, H., & Sato, S. (1978). Combined mode fracture toughness measurement by the disk test. Journal of Engineering Materials and Technology, 100(2), 175-182.
Ayatollahi, M. R., & Aliha, M. R. M. (2009). 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., & Aliha, M. (2007). Fracture toughness study for a brittle rock subjected to mixed mode I/II loading. International Journal of Rock Mechanics and Mining Sciences, 44(4), 617-624.
Ayatollahi, M., & Aliha, M. (2008). Mixed mode fracture analysis of polycrystalline graphite–a modified MTS criterion. Carbon, 46(10), 1302-1308.
Ayatollahi, M., & Torabi, A. (2010). Investigation of mixed mode brittle fracture in rounded-tip V-notched components. Engineering Fracture Mechanics, 77(16), 3087-3104.
Ayatollahi, M., Aliha, M., & Hassani, M. (2006). Mixed mode brittle fracture in PMMA—an experimental study using SCB specimens. Materials Science and Engineering: A, 417(1-2), 348-356.
Bahmani, A., Aliha, M. R. M., Sarbijan, M. J., & Mousavi, S. S. (2020). An extended edge-notched disc bend (ENDB) specimen for mixed-mode I+ II fracture assessments. International Journal of Solids and Structures, 193, 239-250.
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. (2014). Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches. Materials Science and Engineering: R: Reports, 75, 1-48.
Berto, F., Campagnolo, A., & Ayatollahi, M. R. (2015). Brittle fracture of rounded V-notches in isostatic graphite under static multiaxial loading. Physical Mesomechanics, 18(4), 283-297.
Berto, F., Campagnolo, A., & Gallo, P. (2015). Brittle failure of graphite weakened by V-notches: a review of some recent results under different loading modes. Strength of Materials, 47(3), 488-506.
Berto, F., Lazzarin, P., Gómez, F., & Elices, M. (2007). Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’concept. International Journal of fracture, 4(148), 415-433.
Berto, F., Razavi, S., & Ayatollahi, M. (2017). Some methods for rapid evaluation of the mixed mode NSIFs. Procedia Structural Integrity, 3, 126-134.
Campagnolo, A., Berto, F., & Leguillon, D. (2016). Fracture assessment of sharp V-notched components under Mode II loading: a comparison among some recent criteria. Theoretical and Applied Fracture Mechanics, 85, 217-226.
Chang, S.-H., Lee, C.-I., & Jeon, S. (2002). Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens. Engineering geology, 66(1-2), 79-97.
Chen, D., & Ozaki, S. (2008). Investigation of failure criteria for a sharp notch. International Journal of fracture, 152(2), 63-74.
Choi, S., Zhu, D., & Miller, R. (2005). Fracture behavior under mixed-mode loading of ceramic plasma-sprayed thermal barrier coatings at ambient and elevated temperatures. Engineering Fracture Mechanics, 72(13), 2144-2158.
Creager, M., & Paris, P. C. (1967). Elastic field equations for blunt cracks with reference to stress corrosion cracking. International Journal of Fracture Mechanics, 3(4), 247-252.
Erdogan, F., & Sih, G. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of basic engineering, 85(4), 519-525.
Fakhri, M., Amoosoltani, E., & Aliha, M. R. M. (2017). Crack behavior analysis of roller compacted concrete mixtures containing reclaimed asphalt pavement and crumb rubber. Engineering Fracture Mechanics, 180, 43-59.
Fodil, L., El Azzizi, A., & Hadj Meliani, M. (2016). Estimation of Mixed-Mode Stress Intensity Factors with Presence of the Confinement Parameters T-Stress and A3. Paper presented at the Advanced Engineering Forum.
Gómez, F., Elices, M., Berto, F., & Lazzarin, P. (2007). Local strain energy to assess the static failure of U-notches in plates under mixed mode loading. International Journal of fracture, 145(1), 29-45.
Gómez, F., 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.
HUSSAIN, M. (1974). Strain energy release rate for a crack under combined mode I and mode II. Franture Analysis ASTM STP 560, 2-28.
Khan, S. M., & Khraisheh, M. K. (2000). Analysis of mixed mode crack initiation angles under various loading conditions. Engineering Fracture Mechanics, 67(5), 397-419.
Kullmer, G., & Richard, H. (2006). Influence of the root radius of crack-like notches on the fracture load of brittle components. Archive of Applied Mechanics, 76(11-12), 711-723. doi: https://doi.org/10.1007/s00419-006-0089-6
Lazzarin, P., & Berto, F. (2005). Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. International Journal of fracture, 135(1-4), 161-185.
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., & Ayatollahi, M. (2013). Brittle failure of inclined key‐hole notches in isostatic graphite under in‐plane mixed mode loading. Fatigue & Fracture of Engineering Materials & Structures, 36(9), 942-955.
Lazzarin, P., Berto, F., & Zappalorto, M. (2010). Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: Theoretical bases and applications. International Journal of Fatigue, 32(10), 1559-1567.
Lazzarin, P., Berto, F., Elices, M., & Gómez, J. (2009). Brittle failures from U‐and V‐notches in mode I and mixed, I+ II, mode: a synthesis based on the strain energy density averaged on finite‐size volumes. Fatigue & Fracture of Engineering Materials & Structures, 32(8), 671-684.
Lazzarin, P., Berto, F., Gomez, F., & Zappalorto, M. (2008). Some advantages derived from the use of the strain energy density over a control volume in fatigue strength assessments of welded joints. International Journal of Fatigue, 30(8), 1345-1357.
Lim, I., Johnston, I., Choi, S., & Boland, J. (1994). Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 2—mixed-mode. Paper presented at the International journal of rock mechanics and mining sciences & geomechanics abstracts.
Luo, P., Zhang, Q., Bao, Y., & Zhou, A. (2018). Fatigue evaluation of rib-to-deck welded joint using averaged strain energy density method. Engineering Structures, 177, 682-694.
Mirsayar, M. M., Berto, F., Aliha, M. R. M., & Park, P. (2016). Strain-based criteria for mixed-mode fracture of polycrystalline graphite. Engineering Fracture Mechanics, 156, 114-123.
Mirsayar, M. M., Razmi, A., Aliha, M. R. M., & Berto, F. (2018). EMTSN criterion for evaluating mixed mode I/II crack propagation in rock materials. Engineering Fracture Mechanics, 190, 186-197.
Mirsayar, M., & Samaei, A. (2014). Application of maximum tangential stress criterion in determination of fracture initiation angles of silicon/glass anodic bonds. Engineering Solid Mechanics, 2(3), 145-150.
Mirsayar, M., Shi, X., & Zollinger, D. (2017). Evaluation of interfacial bond strength between Portland cement concrete and asphalt concrete layers using bi-material SCB test specimen. Engineering Solid Mechanics, 5(4), 293-306.
Mitchell, N. B., Jr. (1961). The Indirect Tension Test for Concrete. Materials Research and Standards, ASTM, 1(10), 780-787.
Mousavi, A., Aliha, M. R. M., & Imani, D. M. (2020b). Effects of biocompatible Nanofillers on mixed-mode I and II fracture toughness of PMMA base dentures. Journal of the Mechanical Behavior of Biomedical Materials, 103, 103566.
Mousavi, S. S., Aliha, M. R. M., & Imani, D. M. (2020a). On the use of edge cracked short bend beam specimen for PMMA fracture toughness testing under mixed-mode I/II. Polymer Testing, 81, 106199.
Neuber, H., & Kerbspannungslehre, B. (1958). Gottingen Heidelberg: Springer.
Priel, E., Yosibash, Z., & Leguillon, D. (2008). Failure initiation at a blunt V-notch tip under mixed mode loading. International Journal of fracture, 149(2), 143-173.
Radaj, D., & Vormwald, M. (2013). Advanced methods of fatigue assessment: Springer.
Razavi, S. M. J., Aliha, M. R. M., & Berto, F. (2018). Application of an average strain energy density criterion to obtain the mixed mode fracture load of granite rock tested with the cracked asymmetric four-point bend specimens. Theoretical and Applied Fracture Mechanics, 97, 419-425.
Richard, H. (1989). Specimens for investigating biaxial fracture and fatigue processes. Biaxial and multiaxial fatigue, EFG3, 217-229.
Richard, H. A., Fulland, M., & Sander, M. (2005). Theoretical crack path prediction. Fatigue & Fracture of Engineering Materials & Structures, 28(1‐2), 3-12.
Richard, H., & Benitz, K. (1983). A loading device for the creation of mixed mode in fracture mechanics. International Journal of fracture, 22(2), R55-R58.
Sapora, A., Cornetti, P., & Carpinteri, A. (2013). A Finite Fracture Mechanics approach to V-notched elements subjected to mixed-mode loading. Engineering Fracture Mechanics, 97, 216-226.
Seed, G., & Nowell, D. (1994). Use of the distributed dislocations method to determine the T‐stress. Fatigue & Fracture of Engineering Materials & Structures, 17(5), 605-618.
Shetty, D. K., Rosenfield, A. R., & Duckworth, W. H. (1987). Mixed-mode fracture in biaxial stress state: application of the diametral-compression (Brazilian disk) test. Engineering Fracture Mechanics, 26(6), 825-840.
Sih, G. (1973). Some basic problems in fracture mechanics and new concepts. Engineering Fracture Mechanics, 5(2), 365-377.
Sih, G. C. (1974). Strain-energy-density factor applied to mixed mode crack problems. International Journal of fracture, 10(3), 305-321.
Suresh, S., Shih, C., Morrone, A., & O'Dowd, N. (1990). Mixed‐mode fracture toughness of ceramic materials. Journal of the American Ceramic Society, 73(5), 1257-1267.
Tamine, T., C. C., T. Boukharouba, and G. Pluvinage (Writer). (1996). Crack initiation in pure shear mode II, Problems of Strength, Special Publication.
Torabi, A. R., Kalantari, M. H., & Aliha, M. R. M. (2018). Fracture analysis of dissimilar Al-Al friction stir welded joints under tensile/shear loading. Fatigue & Fracture of Engineering Materials & Structures, 41(9), 2040-2053.
Torabi, A., & Berto, F. (2014). Mixed mode fracture assessment of U-notched graphite Brazilian disk specimens by means of the local energy. Structural Engineering and Mechanics, 50(6), 723-740.
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