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G. M. Domínguez Almaraz et alii, Frattura ed Integrità Strutturale, 34 (2015) 498-506; DOI: 10.3221/IGF-ESIS.34.55 505  Numerical simulation were carried out using a bi-dimensional model and plane strain condition, in order to obtain the J integral and the stress intensity factor K with the crack length. The results are in good agreement with previous ones obtained for PC/ABC polymeric blends.  Further investigation are needed to improve the understanding of ultrasonic fatigue endurance on ABC polymer, the role of the mechanical and physical-chemical parameters affecting the crack initiation and propagation and the non linear interaction of these parameter, on the fatigue life and the crack initiation and propagation of this polymer. A CKNOWLEDGEMENTS e want to express our gratitude to the University of Michoacan in Mexico (UMSNH) for the facilities received in the development of this study. A special mention of gratitude to CONACYT (The National Council for Science and Technology, Mexico), for the financial support given to this research work. R EFERENCES [1] Krevelen, V., Nijenhuiste, K., Properties of Polymers, fourth ed., Elsevier Amsterdam, The Netherlands (2009), DOI:10.1016/B978-0-08-054819-7.00044-3. [2] Slutsker, A.I., Gilyarov, V.L., Polikarpov, Y.I., Effect of mechanical loading on the kinetics of electrical breakdown in polymers, Technical Physics, 53 (2008) 1447-1450, DOI: 10.1134/S106378420811008X. [3] Rambert, G., Grandidier, J.-C., An approach to the coupled behaviour of polymers subjected to a thermo-mechanical loading in a gaseous environment, European J. of Mechanics – A/Solids, 24 (2006) 151-168. DOI:10.1016/j.euromechsol.2004.10.005. [4] Janssen, R.P.M., De Kanter, D., Govaert, L.E., Meijer, H.E.H., Fatigue Life Predictions for Glassy Polymers: A Constitutive Approach, Macromolecules, 41 (2008) 2520-2530, DOI: 10.1021/ma071273i. [5] Maxwell, A.S., Broughton, W.R., Dean, G., Sims, G.D., Review of accelerated aging methods and lifetime prediction techniques for polymeric materials, National Physical Laboratory-United Kingdom, Report Number DEPC MPR 016, (2005). [6] Billingham, N.C., Degradation and Stabilization of Polymers. Material Science and Technology, Wiley-VCH Verlag GmbH & Co. KgaA, (2013) 469-507. DOI: 10.1002/9783527603978.mst0412. [7] Kausch, H.-H., Williams, J. G., Fracture. Encyclopedia of Polymer Science and Technology 2 (2001). DOI: 10.1002/0471440264.pst143. [8] Janssen, R.P.M., Govaert L.E., Meijer H.E.H., An Analytical Method To Predict Fatigue Life of Thermoplastics in Uniaxial Loading: Sensitivity to Wave Type, Frequency, and Stress Amplitude, Macromolecules, 41 (2008) 2531-2540. DOI: 10.1021/ma071274a. [9] Hutchinson, J.M., Physical aging of polymers, Progress on Polymer Science, 20 (1995) 703-760. DOI: 10.1016/0079-6700(94)00001-I. [10] Bradshaw, R.D., Brinson, L.D., Physical aging in polymers and polymer composites: An analysis and method for time-aging time superposition, Polymer Engineering & Science, 37 (1997) 31-44. DOI: 10.1002/pen.11643. [11] Chung, Y.G., Lacks, D.L., Sheared polymer glass and the question of mechanical rejuvenation, J. Chem. Phys. 136, 124907 (2012). DOI: http://dx.doi.org/10.1063/1.3698473. [12] Lyulin, A.V., Hudzinskyy, D., Janiaud, E., Chateauminois, A., Competition of time and spatial scales in polymer glassy dynamics: Rejuvenation and confinement effects, Journal of Non-Crystalline Solids, 357 (2011) 567-574. DOI: 10.1016/j.jnoncrysol.2010.08.008. [13] McKenna, G.B., Mechanical rejuvenation in polymer glasses: fact or fallacy?, J. Phys.: Condens. Matter., 15 (2003), S737–S763. DOI: 10.1088/0953-8984/15/11/301. [14] Nandi, S., Winter, H. H., Swelling Behavior of Partially Cross-Linked Polymers: A Ternary System, Macromolecules, 38 (2005) 4447-4455. DOI: 10.1021/ma048335e. [15] Bouklas N., Huang R., Swelling kinetics of polymer gels: comparison of linear and nonlinear theories, Soft Matter, 8 (2012) 8194-8203. DOI: 10.1039/c2sm25467k. [16] Denisyuk, E.Y., Thermodynamics of deformation and swelling of cross-linked polymers under small deformations, Polymer Science Series A , 54 (2012) 240-247. DOI: 10.1134/S0965545X12030017. W