Abstract
Accumulation of fatigue damage in high and low cycle regimes is largely associated with nucleation and development of irreversible plastic deformations and voids. The effect of these microstructural changes on conventional (second-order) elastic constants is typically very small, which makes experimental evaluation of the progressive fatigue damage accumulation difficult and the classical damage theories inapplicable. It was demonstrated in the past that the third-order elastic constants are sensitive to fatigue damage and these material constants can be evaluated using various ultrasonic techniques. The ultimate aim of this study is to develop micro-mechanical models, which link the micro-porosity and micro-plastic deformations, to the effective third-order elastic constants of the material. These models could provide a foundation for the evaluation of early fatigue damage, i.e. the damage prior formation of a micro-defect (crack), as well as the remaining fatigue life of structures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Eshelby, J.D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. A 241, 376–396 (1957)
Destrade, M., Ogden, R.W.: On stress-dependent elastic moduli and wave speeds. IMA J. Appl. Math. 78, 965–997 (2012)
Matlack, K.H., Kim, J.-Y., Jacobs, L.J., Qu, J.: Review of second harmonic generation measurement techniques for material state determination in metals. J. Nondestruct. Eval 34, 273 (2014)
Chan, K.S.: Roles of microstructure in fatigue crack initiation. Int. J. Fatigue 32(9), 1428–1447 (2010)
Lemaitre, J.: A continuous damage mechanics model for ductile fracture. ASME J. Eng. Mat. Technol. 107, 83–89 (1985)
Chaboche, J.L., Lesne, P.M.: A non-linear continuous fatigue damage model. Fatigue Fracture Eng. Mater. Struct. 2, 1–17 (1988)
Lissenden, C., Liu, Y., Rose, J.: Use of non-linear ultrasonic guided waves for early damage detection. Insight Non-Destr. Test. Cond. Monitoring 57, 206–211 (2015)
Benedetti, I., Gulizzi, V.: A grain-scale model for high-cycle fatigue degradation in polycrystalline materials. Int. J. of Fatigue 116, 90–105 (2018)
Ogden, R.W.: On the overall moduli of non-linear elastic composite materials. J. Mech. Phys. Solids 22, 541–553 (1974)
Chen, Y., Jiang, X.: Nonlinear elastic properties of particulate composites. J. Mech. Phys. Solids 41(7), 1177–1190 (1993)
Imam, A., Johnson, G.C.: Ferrari, M,: Determination of the overall moduli in second order incompressible elasticity. J. Mech. Phys. Solids 43(7), 1087–1104 (1995)
Clayton, J.D.: Defects in nonlinear elastic crystals: differential geometry, finite kinematics, and second-order analytical solutions. Z. Angew. Math. Mech. 95(5), 476–510 (2015)
Hill, R.: On constitutive macro-variables for heterogeneous solids at finite strain. Proc. R. Soc. Long. A. 326, 131–147 (1972)
Mohabuth, M.: Effect of uniaxial stress on the propagation of higher-order Lamb wave modes. Int. J. Non-Linear Mech. 86, 104–111 (2016)
Acknowledgement
This work was supported by the Australian Research Council through DP160102233, LE170100079, DP200102300 and the Australian Research Training Program Scholarship. Their support is greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Vidler, J., Kotousov, A., Ng, CT. (2020). Development of Micro-mechanical Models of Fatigue Damage. In: Gdoutos, E., Konsta-Gdoutos, M. (eds) Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2020. Structural Integrity, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-47883-4_25
Download citation
DOI: https://doi.org/10.1007/978-3-030-47883-4_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-47882-7
Online ISBN: 978-3-030-47883-4
eBook Packages: EngineeringEngineering (R0)