Revised damage evolution equation for high cycle fatigue life prediction of aluminum alloy LC4 under uniaxial loading

doi:10.1007/s10483-015-1970-6

Abstract

Abstract: The fatigue life prediction for components is a difficult task since many factors can affect the final fatigue life. Based on the damage evolution equation of Lemaitre and Desmorat, a revised two-scale damage evolution equation for high cycle fatigue is presented according to the experimental data, in which factors such as the stress amplitude and mean stress are taken into account. Then, a method is proposed to obtain the material parameters of the revised equation from the present fatigue experimental data. Finally, with the utilization of the ANSYS parametric design language (APDL) on the ANSYS platform, the coupling effect between the fatigue damage of materials and the stress distribution in structures is taken into account, and the fatigue life of specimens is predicted. The outcome shows that the numerical prediction is in accord with the experimental results, indicating that the revised two-scale damage evolution model can be well applied for the high cycle fatigue life prediction under uniaxial loading.

Key words: continuum damage mechanics, fatigue life, fatigue damage model, high cycle fatigue, finite element method

2010 MSC Number:

O346.5

Zhixin ZHAN, Weiping HU, Miao ZHANG, Qingchun MENG. Revised damage evolution equation for high cycle fatigue life prediction of aluminum alloy LC4 under uniaxial loading. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1185-1196.

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References

[1] Schijve, J. Fatigue of Structures and Materials, Kluwer Academic, Dordrecht, 1-5(2001)
[2] Gonçalves, C. A., Araújo, J. A., and Mamiya, E. N. Multiaxial fatigue:a stress based criterion for hard metals. International Journal of Fatigue, 27, 177-187(2005)
[3] Cristofori, A. and Tovo, R. An invariant-based approach for high-cycle fatigue calculation. Fatigue & Fracture of Engineering Materials & Structures, 32, 310-324(2009)
[4] Socie, D. F. Fatigue-life prediction using local stress-strain concepts. Experimental Mechanics, 17, 50-56(1977)
[5] Seshadri, R. The generalized local stress strain (GLOSS) analysis-theory and applications. Journal of Pressure Vessel Technology, 113, 219-227(1991)
[6] Stanfield, G. Discussion on the strength of metals under combined alternating stresses. Proceedings of the Institution of Mechanical Engineers, 131, 93(1935)
[7] Stulen, F. and Cummings, H. A failure criterion for multi-axial fatigue stresses. Proceedings of the American Society for Testing and Materials, 54, 822-835(1954)
[8] Krajcinovic, D. Continuum damage mechanics. Applied Mechanics Reviews, 37, 1-6(1984)
[9] Chaboche, J. L. Continuous damage mechanics-a tool to describe phenomena before crack initiation. Nuclear Engineering and Design, 64, 233-247(1981)
[10] Lemaitre, J. and Chaboche, J. L. Mechanics of Solid Materials, Cambridge University Press, Cambridge, 442-449(1990)
[11] Chaboche, J. and Lesne, P. A nonlinear continuous fatigue damage model. Fatigue & Fracture of Engineering Materials & Structures, 11, 1-17(1988)
[12] Lemaitre, J. and Desmorat, R. Engineering Damage Mechanics:Ductile, Creep, Fatigue and Brittle Failures, Springer, Berlin, 283-288(2005)
[13] Yang, F. P., Sun, Q., Luo, H. J., and Zhang, H. A corrected damage law for high cycle fatigue (in Chinese). Acta Mechanica Sinica, 44, 140-147(2012)
[14] Kachanov, L. Introduction to Continuum Damage Mechanics, Springer, Berlin, 1-6(1986)
[15] Bathias, C. and Pineau, A. Fatigue of Materials and Structures, Wiley Online Library, New York, 47-50(2010)
[16] Murakami, S. Continuum Damage Mechanics:a Continuum Mechanics Approach to the Analysis of Damage and Fracture, Springer, Berlin, 19-22(2012)
[17] Argente dos Santos, H. A. F., Auricchio, F., and Conti, M. Fatigue life assessment of cardiovascular balloon-expandable stents:a two-scale plasticity-damage model approach. Journal of the Mechanical Behavior of Biomedical Materials, 15, 78-92(2012)
[18] Desmorat, R., Kane, A., Seyedi, M., and Sermage, J. P. Two scale damage model and related numerical issues for thermo-mechanical high cycle fatigue. European Journal of Mechanics, A:Solids, 26, 909-935(2007)
[19] Lautrou, N., Thevenet, D., and Cognard, J. Y. Fatigue crack initiation life estimation in a steel welded joint by the use of a two-scale damage model. Fatigue & Fracture of Engineering Materials & Structures, 32, 403-417(2009)
[20] Zhang, X. Fracture and Damage Mechanics (in Chinese), Beijing University of Aeronautics and Astronautics Press, Beijing, 327-331(2006)
[21] Hansen, N. and Schreyer, H. A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. International Journal of Solids and Structures, 31, 359-389(1994)
[22] Chaboche, J. L. Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers. International Journal of Solids and Structures, 34, 2239-2254(1997)
[23] Lemaitre, J., Sermage, J., and Desmorat, R. A two scale damage concept applied to fatigue. International Journal of Fracture, 97, 67-81(1999)
[24] Wu, X. R. Handbook of Mechanical Properties of Aircraft Structural Metals (in Chinese), Aviation Industry Press, Beijing, 222-225(1998)
[25] Gao, Z. T. The Fatigue Performance Experiments Design and Data Processing (in Chinese), Beijing University of Aeronautics and Astronautics Press, Beijing (1999)
[26] Zhang, M., Meng, Q. C., Hu, W. P., Shi, S. D., Hu, M., and Zhang, X. Damage mechanics method for fatigue life prediction of pitch-change-link. International Journal of Fatigue, 32, 1683-1688(2010)