References
- Rice, J. R. (1968). A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks. Journal of Applied Mechanics, 379-386.
- Bui, H. (1974). Dual path Independent Integral in the boundary value problems of crack. Engineering Fracture Mechanics, 6, 287-296. https://doi.org/10.1016/0013-7944(74)90027-7
- Sih, G., & Rice, J. (1964). The Bending of plates of Dissimilar Materials With Cracks. Journal of Applied Mechanics, 31, 477-482. https://doi.org/10.1115/1.3629665
- Erdogan, F. (1965). Stress Distribution in Bonded Dissimilar Materials Containing Circular or Ring-Shaped Cavities. Journal of Applied Mechanics, 32(4), 829-836. https://doi.org/10.1115/1.3627323
- Comninou, M. (1977). The Interface Crack. Journal of Applied Mechanics, 44(4), 631-636. https://doi.org/10.1115/1.3424148
- Bouzerd, H. (1992). Mixed finite element for cohesive or cracked interface. Doctoral Thesis. Claude Bernard University, Lyon I, France.
- Bougueroua, A. (2006). Delamination propagation in laminates. Master’s Thesis. University 20 August 1955, Skikda, Algeria.
- Bouziane, S. (2009). Mixed finite element for cracked interfaces in anisotropic bimaterials. Doctoral Thesis. University 8 May 1945, Guelma, Algeria.
- Bouziane, S., Bouzerd, H., Boulares, N., & Guenfoud, M. (2014). Energy release rate for kinking crack using mixed finite element. Structural Engineering and Mechanics, 50, 665-677. https://doi.org/10.12989/sem.2014.50.5.665
- Huang, X., Liu, Y., & Huang, X. (2019). Analytical characterizations of crack tip plastic zone size for central-cracked unsti ff ened and sti ff ened plates under biaxial loading. Engineering Fracture Mechanics, 206, 1-20. https://doi.org/10.1016/j.engfracmech.2018.11.047
- Fernando, L., Marques, N., Antonio, M., Tupiassú, J., Castro, P. De, & Fernando, L. (2020). Elastoplastic 3D analyses of plastic zone size dependencies on load-to-yield strength and on crack size-to-width ratios under mixed mode I / II. Theoretical and Applied Fracture Mechanics, 107, 102490. https://doi.org/10.1016/j.tafmec.2020.102490
- Kumar, K. G., Silpa, V. J. K., Vamsi, B. V. S. R., & Bhadauria, S. S. (2018). Studies on the Critical Size of the Plastic Zone in Pure Mode-I and Mixed Mode ( I / II ) Fracture. Materials Today: Proceedings, 5(2), 7765-7774. https://doi.org/10.1016/j.matpr.2017.11.454
- Benrahou, K. H., Benguediab, M., & Belhouari, M. (2007). Estimation of the plastic zone by finite element method under mixed mode ( I and II ) loading. Computational Materials Science, 38, 595-601. https://doi.org/10.1016/j.commatsci.2006.04.001
- Heung-Bae, P., Kyung-Mo, K., & Byong-Whi, L. (1996). Plastic zone size in fatigue cracking. International Journal of Pressure Vessels and Piping, 68(3), 279-285. https://doi.org/10.1016/0308-0161(95)00066-6
- Tieying, W., Danièle, W., & Daniel, K. (2016). Analysis of the plastic zone of a circle crack under very high cycle fatigue. International Journal of Fatigue, 93, 415-421. https://doi.org/10.1016/j.ijfatigue.2016.08.021
- Naman, R. (1995). Rupture par Fissuration des Structures (Hermès). Paris, France
- G.R Irwin. (1963). Structural aspects of brittle fracture. AGARD 17th S and M Panel Meeting, Applied Materials Research, 65-81.
- Reissner, E. (1950). On variational theorem of elasticity. Journal of Mathematics and Physics, 90-95. https://doi.org/10.1002/sapm195029190
- D.M. Parks. (1974). A stiffness derivative finite element technique for determination of crack tip stress intensity factors. International Journal of Fracture, 10, 478-502. https://doi.org/10.1007/BF00155252
- Liu, X. Y., Xiao, Q. Z., & Karihaloo, B. L. (2004). XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials. international journal for numerical methods in engineering, 1118, 1103-1118. https://doi.org/10.1002/nme.906
- TAY, T. E., YAP, C. M., & TAY, C. J. (1995). Crack tip and notch tip plastic zone size measurement by the laser speckle technique. Engineering Fracture Mechanics, 52(5), 879-893. https://doi.org/10.1016/0013-7944(95)00060-9.
- Yi, H., Jingjie, C., & Gang, L. (2010). A new method of plastic zone size determined based on maximum crack opening displacement. Engineering Fracture Mechanics, 77(14), 2912-2918. https://doi.org/10.1016/j.engfracmech.2010.06.026.
