CDM Approach Applied to Crack Initiation and Propagation under Variable Amplitude

Abstract:

In this paper, the low cycle fatigue crack initiation life was regarded as a process of damage accumulation and a damage accumulation model was established based on the Continuum Damage Mechanics. By the model, we analyzed how the variable amplitude applied at the crack initiation stage influenced the low cycle fatigue life of high temperature materials. With the parameters of GQGH4169 alloy at room temperature, we determined the specific values of damage parameters by finite element method and numerical analysis method. Then, the crack initiation life predictions were carried out. The results show that using this approach can not only predict the crack initiation life of CT specimen accurately, but also reflect a definite influence of variable amplitude on the crack propagation life combining with the Paris Law, and the test costs reduced consequently.

• Periodical: Applied Mechanics and Materials (Volume 829)
• Pages: 55-60
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.829.55
• Online since: March 2016
• Authors: Jin Yang Chu*, Jian Xing Mao
• Keywords: Continuum Damage Mechanics, Crack Initiation, Crack Propagation, Variable Amplitude

References

[1] Manson S S. Behavior of materials under conditions of thermal stress. NACA Report (1954) 1170.

[2] Coffin L F Jr. A Study of the Effect of Cyclic Thermal Stresses on a ductile Metal. New York: Knolls Atomic Power Lab (1953).

[3] Paris PC, Gomez MP, Anderson WE. A rational analytical theory of fatigue. The trend of Engineering 13 (1961) 9-14.

[4] Editorial board of China Aeronautical Materials Handbook. China Aeronautical Materials Handbook, Beijing: China Standard Press (2012).

[5] J. Lemaitre and J. L. Chaboche, Mechanics of Solid Materials, Cambridge: Cambridge University Press (1990).

[6] D. Krajcinovic and J. Lemaitre, Continuum Damage Mechanics: Theory and Application, Berlin: Springer Verlag (1987).

[7] J. Lemaitre, A Course on Damage Mechanics, Berlin: Springer Verlag (1992).

[8] Miner MA. Cumulative damage in fatigue. J Appl Mech 67 (1945) A159–A164.

[9] D. Shang and W. Yao, Study on nonlinear continuous damage cumulative model for uniaxial fatigue. Acta Aeronautica et Astronautica Sinica 19(6) (1998) 647-656.

[10] Da-sheng Wang, Yan-rong Wang, Xiang-ping Wang, et al. Life prediction method based on characteristic of cyclic stress. Journal of Aero-space Power 27(10) (2012) 2342-2347.

[11] François H, Gilbert H, Damien H, et al. CDM approach applied to fatigue crack propagation on Airframe structural alloys. Procedia Engineering 2(1) (2010) 1403-1412.

DOI: 10.1016/j.proeng.2010.03.152

[12] Deng G J, Tu S T, Zhang X C, et al. Grain size effect on the small fatigue crack initiation and growth mechanisms of nickel-based superalloy GH4169. Engineering Fracture Mechanics 134 (2015) 433-450.

DOI: 10.1016/j.engfracmech.2015.01.002

[13] Liu N, Gong Z, Tang Y, et al. A study on fatigue damage accumulation based on continuum damage mechanics. International Conference on. IEEE (2012) 867-870.

[14] Dattoma V, Giancane S, Nobile R, et al. Fatigue life prediction under variable loading based on a new non-linear continuum damage mechanics model. International Journal of Fatigue 28(2) (2006) 89-95.

DOI: 10.1016/j.ijfatigue.2005.05.001