How to cite this paper
Abd-Elhady, A. (2013). Mixed mode I/II stress intensity factors through the thickness of disc type specimens.Engineering Solid Mechanics, 1(4), 119-128.
Refrences
ABAQUS user’s manual version 6.9. (2002). Pawtucket, RI: Hibbitt. Karlsson and Sorensen Inc.
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. (2013). Two-parameter fracture analysis of SCB rock specimen under mixed mode loading. Engineering Fracture Mechanics. 103, 115–123.
Aliha, M. R. M., & Saghafi, H. (2013). The effects of thickness and Poisson’s ratio on 3D mixed-mode fracture. Engineering Fracture Mechanics. 98, 15–28.
Aliha, M. R. M., Ayatollahi, M. R., Smith, D. J., & Pavier, M. J. (2010). Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading. Engineering Fracture Mechanics, 77(11), 2200-2212.
Aliha, M. R. M., Sistaninia, M., Smith, D. J., Pavier, M. J., & Ayatollahi, M. R. (2012a). Geometry effects and statistical analysis of mode I fracture in guiting limestone. International Journal of Rock Mechanics and Mining Sciences, 51, 128-135.
Aliha, M. R. M., Ayatollahi, M. R., & Akbardoost, J. (2012b). Typical Upper Bound–Lower Bound Mixed Mode Fracture Resistance Envelopes for Rock Material. Rock mechanics and rock engineering, 45(1), 65-74.
AL-Maghrabi, M. N. N., & Abd-Elhady, A. A. (2013). Effective stress intensity factor of rock-like brittle materials subjected to different mode of mixity. Journal of American Science, 9(3), 216-220.
Ayatollahi, M. R., & Aliha, M. R. M. (2007). Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading. Computational materials science, 38(4), 660-670.
Ayatollahi, M. R., & Aliha, M. R. M. (2008). 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.
Chen, C. S., Pan, E., & Amadei, B. (1998). Fracture mechanics analysis of cracked discs of anisotropic rock using the boundary element method. International Journal of Rock Mechanics and Mining Sciences, 35(2), 195-218.
Garcia-Manrique, J., Camas, D., Lopez-Crespo, P., & Gonzalez-Herrera, A. (2013). Stress intensity factor analysis of through thickness effects. International Journal of Fatigue, 46, 58-66.
Gosz, M., Dolbow, J., & Moran, B. (1998). Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks. International Journal of Solids and Structures, 35(15), 1763-1783.
Gosz, M., & Moran, B. (2002). An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions. Engineering Fracture Mechanics, 69(3), 299-319.
Huta?, P., N?hl?k, L., & Knésl, Z. (2010). The effect of a free surface on fatigue crack behaviour. International Journal of Fatigue, 32(8), 1265-1269.
Kwon, S. W., & Sun, C. T. (2000). Characteristics of three-dimensional stress fields in plates with a through-the-thickness crack. International journal of fracture, 104(3), 289-314.
Lim, I. L., Johnston, I. W., & Choi, S. K. (1993). Stress intensity factors for semi-circular specimens under three-point bending. Engineering Fracture Mechanics, 44(3), 363-382.
Nakamura, T. (1991). Three-dimensional stress fields of elastic interface cracks. Journal of Applied Mechanics, 58, 939.
Nakamura, T., & Parks, D. M. (1989). Antisymmetrical 3-D stress field near the crack front of a thin elastic plate. International Journal of Solids and Structures,25(12), 1411-1426.
Ouinas, D., Bouiadjra, B. B., Serier, B., Benderdouche, N., & Ouinas, A. (2009). Numerical analysis of Brazilian bioceramic discs under diametrical compression loading. Computational Materials Science, 45(2), 443-448.
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.
Sallam, H. E. M., & Abd-Elhady, A. A., (2012). Mixed Mode Crack Initiation and Growth in Notched Semi-Circular Specimens-Three Dimensional Finite Element Analysis. Asian Journal of Material Science, 4(2), 34-44.
Wu, Z. (2006). On the through-thickness crack with a curve front in center-cracked tension specimens. Engineering fracture mechanics, 73(17), 2600-2613.
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. (2013). Two-parameter fracture analysis of SCB rock specimen under mixed mode loading. Engineering Fracture Mechanics. 103, 115–123.
Aliha, M. R. M., & Saghafi, H. (2013). The effects of thickness and Poisson’s ratio on 3D mixed-mode fracture. Engineering Fracture Mechanics. 98, 15–28.
Aliha, M. R. M., Ayatollahi, M. R., Smith, D. J., & Pavier, M. J. (2010). Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading. Engineering Fracture Mechanics, 77(11), 2200-2212.
Aliha, M. R. M., Sistaninia, M., Smith, D. J., Pavier, M. J., & Ayatollahi, M. R. (2012a). Geometry effects and statistical analysis of mode I fracture in guiting limestone. International Journal of Rock Mechanics and Mining Sciences, 51, 128-135.
Aliha, M. R. M., Ayatollahi, M. R., & Akbardoost, J. (2012b). Typical Upper Bound–Lower Bound Mixed Mode Fracture Resistance Envelopes for Rock Material. Rock mechanics and rock engineering, 45(1), 65-74.
AL-Maghrabi, M. N. N., & Abd-Elhady, A. A. (2013). Effective stress intensity factor of rock-like brittle materials subjected to different mode of mixity. Journal of American Science, 9(3), 216-220.
Ayatollahi, M. R., & Aliha, M. R. M. (2007). Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading. Computational materials science, 38(4), 660-670.
Ayatollahi, M. R., & Aliha, M. R. M. (2008). 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.
Chen, C. S., Pan, E., & Amadei, B. (1998). Fracture mechanics analysis of cracked discs of anisotropic rock using the boundary element method. International Journal of Rock Mechanics and Mining Sciences, 35(2), 195-218.
Garcia-Manrique, J., Camas, D., Lopez-Crespo, P., & Gonzalez-Herrera, A. (2013). Stress intensity factor analysis of through thickness effects. International Journal of Fatigue, 46, 58-66.
Gosz, M., Dolbow, J., & Moran, B. (1998). Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks. International Journal of Solids and Structures, 35(15), 1763-1783.
Gosz, M., & Moran, B. (2002). An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions. Engineering Fracture Mechanics, 69(3), 299-319.
Huta?, P., N?hl?k, L., & Knésl, Z. (2010). The effect of a free surface on fatigue crack behaviour. International Journal of Fatigue, 32(8), 1265-1269.
Kwon, S. W., & Sun, C. T. (2000). Characteristics of three-dimensional stress fields in plates with a through-the-thickness crack. International journal of fracture, 104(3), 289-314.
Lim, I. L., Johnston, I. W., & Choi, S. K. (1993). Stress intensity factors for semi-circular specimens under three-point bending. Engineering Fracture Mechanics, 44(3), 363-382.
Nakamura, T. (1991). Three-dimensional stress fields of elastic interface cracks. Journal of Applied Mechanics, 58, 939.
Nakamura, T., & Parks, D. M. (1989). Antisymmetrical 3-D stress field near the crack front of a thin elastic plate. International Journal of Solids and Structures,25(12), 1411-1426.
Ouinas, D., Bouiadjra, B. B., Serier, B., Benderdouche, N., & Ouinas, A. (2009). Numerical analysis of Brazilian bioceramic discs under diametrical compression loading. Computational Materials Science, 45(2), 443-448.
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.
Sallam, H. E. M., & Abd-Elhady, A. A., (2012). Mixed Mode Crack Initiation and Growth in Notched Semi-Circular Specimens-Three Dimensional Finite Element Analysis. Asian Journal of Material Science, 4(2), 34-44.
Wu, Z. (2006). On the through-thickness crack with a curve front in center-cracked tension specimens. Engineering fracture mechanics, 73(17), 2600-2613.