[1] Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Engng 45(5): 601-620.
[2] Moës N, Dolbow J, Belytschko T (1999). A finite element method for crack growth without remeshing. Int J Numer Meth Engng 46(1): 131-150.
[3] Belytschko T, Moës N, Usui S, Parimi C (2001) Arbitrary discontinuities in finite elements. Int J Numer Meth Engng 50(4): 993-1013.
[4] Dolbow J, Moës N, Belytschko T (2000) Modeling fracture in Mindlin–Reissner plates with the extended finite element method. Int J Solids Struct 37(48): 7161-7183.
[5] Daux C, Moës N, Dolbow J, Sukumar N, Belytschko T (2000) Arbitrary branched and intersecting cracks with the extended finite element method. Int J Numer Meth Engng 48: 1741-1760.
[6] Liu X Y, Xiao Q Z, Karihaloo B L (2004) XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi‐materials. Int J Numer Meth Engng 59(8): 1103-1118.
[7] Chessa J, Belytschko T (2003) An extended finite element method for two-phase fluids. J Appl Mech 70(1): 10-17.
[8] Grégoire D, Maigre H, Rethore J, Combescure A (2007) Dynamic crack propagation under mixed-mode loading–comparison between experiments and X-FEM simulations. Int J Solids Struct 44(20): 6517-6534.
[9] Sabsabi M, Giner E, Fuenmayor F J (2011) Experimental fatigue testing of a fretting complete contact and numerical life correlation using X-FEM. Int J of Fatigue 33(6): 811-822.
[10] Yan Y, Park S H (2008) An extended finite element method for modeling near-interfacial crack propagation in a layered structure. Int J Solids Struct 45(17): 4756-4765.
[11] Williams J G, Ewing P D (1972) Fracture under complex stress—the angled crack problem. Int J Fracture 8(4): 441-446.
[12] Yukio U, Kazuo I, Tetsuya Y, Mitsuru A (1983) Characteristics of brittle fracture under general combined modes including those under bi-axial tensile loads. Eng Fract Mech 18(6): 1131-1158.
[13] Awaji H, Sato S (1978) Combined mode fracture toughness measurement by the disk test. J Eng Mat 100, 175.
[14] 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. Eng Geol 66(1): 79-97.
[15] Richard H A, Benitz K (1983) A loading device for the creation of mixed mode in fracture mechanics. Int J Fracture 22(2): 55-58.
[16] Lim I L, Johnston I W, Choi S K, Boland J N (1994) Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 2-mixed-mode. Int JRockMech Min 31(3): 199-212.
[17] Ayatollahi M R, Aliha M R M (2009) Analysis of a new specimen for mixed mode fracture tests on brittle materials. Eng Fract Mech 76(11): 1563-1573.
[18] Barber C B, Dobkin D P, Huhdanpaa H (1996). The quickhull algorithm for convex hulls. ACM T Math Software 22(4): 469-483.
[19] Yau J F, Wang S S, Corten H T (1980) A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. J Appl Mech 47(2): 335-341.
[20] Dolbow J, Moës N, Belytschko T (2000) Discontinuous enrichment in finite elements with a partition of unity method. Finite Elem Anal Des 36(3): 235-260.
[21] Erdogan F, Sih G C (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng 85(4): 519-525.
[22] Arcan M, Hashin Z, Volosnin A (1978) A method to produce uniform plane-stress states with application to fibre-reinforced materials. Exp Mech 18(4):141–146
[23] Bang, H, Kwon Y W (2000) Thefinite element method using MATLAB. Mechanical Engineering Series: CRC Press.
[24] Ayatollahi M R, Aliha M R M (2005) Cracked Brazilian disc specimen subjected to mode II deformation. Eng Fract Mech 72(4): 493-503.
)