This function is prepared to analyse experimental data from FCG tests performed using ASTM E 647 with CT specimens. The FCG model used in this function is based on the following assumptions:
- The crack is analysed as a notch with a tip radius of 1E-7m to compute the elastoplastic stress-strain field ahead of the crack tip;
- Ramberg-Osgood cyclic stress-strain formulation is used to express the material behaviour;
- The stresses and strains used to determine fatigue crack growth rate are measured within a distance ahead of the crack tip which is designated as process block size. This parameter is determined with the following expression:
(1 / (15 * pi)) * (((DK_eff / (1E6)) / Yield_cyclic) ^2);
- Fatigue crack growth is considered as sucessive crack re-initiations over the distance of the block size;
- The number of cycles to reach failure within the process block size is determined using the Smith-Watson-Topper (SWT) fatigue damage model;
- Fatigue crack growth rate is determined as:
da_dN = block_size / N
INPUTS:
B - Thickness of CT specimen [mm]
W - Width of CT specimen [mm]
R_sigma - Stress ratio
a - Crack length [mm]
DK_appl - Applied stress intensity factor range [Pa.m^0.5]
Poisson - Poisson coefficient
E - Young's modulus [Pa]
K_cyclic - Strain hardening coefficient [Pa]
n_cyclic - Strain hardening exponent
Yield_cyclic - Cyclic yield strength [MPa]
Sigma_f - Fatigue strength coefficient [Pa]
b_SWT - Fatigue strength exponent
epsilon_f - Fatigue ductility coefficient
c_SWT - Fatigue ductility exponent
OUTPUTS:
da_dN - Fatigue crack growth rate [mm/cycle]
DK_eff - Effective stress intensity factor range [Pa.m^0.5]
REFERENCES:
- G. Glinka, A notch stress-strain analysis approach to fatigue crack growth, Engineering Fracture Mechanics, vol. 21, no. 2, pp. 245–261, 1985.
- A. Noroozi, G. Glinka and S. Lambert, A two parameter driving force for fatigue crack growth analysis, International Journal of Fatigue, vol. 27, no. 10, pp. 1277–1296, 2005.
- A. Noroozi, G. Glinka and S. lambert, A study of the stress ratio effects on fatigue crack growth using the unified two-parameter fatigue crack growth driving force, International Journal of Fatigue, vol. 29, no. 9, pp. 1616–1633, 2007.
- A. Noroozi, G. Glinka and S. Lambert, Prediction of fatigue crack growth under constant amplitude loading and a single overload based on elasto-plastic crack tip stresses and strains, Engineering Fracture Mechanics, vol. 75, no. 2, pp. 188–206, 2008.
- S. Mikheevskiy and G. Glinka, Elastic–plastic fatigue crack growth analysis analysis under variable amplitude loading spectra, International Journal of Fatigue, vol. 31, no. 11, pp. 1828-1836, 2009
- S. Bogdanov, S. Mikheevskiy, and G. Glinka, Probabilistic analysis of the fatigue crack growth based on the application of the Monte-Carlo method to Unigrow model, Materials Performance and Characterization, vol. 3, p. 20130066, Sep. 2014.
- J. Correia, N. Apetre, A. Arcari, A. Jesus, M. Muñiz-Calvente, R. Calçada, F. Berto, and A. Fernández-Canteli, Generalized probabilistic model allowing for various fatigue damage variables, International Journal of Fatigue, vol. 100, pp. 187–194, 2017.
- B. Pedrosa, J. Correia, G. Lesiuk, C. Rebelo and M. Veljkovic, Fatigue Crack Growth Modelling for S355 Structural Steel Considering Plasticity-Induced Crack-Closure By Means of Unigrow Model, International Journal of Fatigue, vol. 164, 107120 (2020).
Developed by Bruno Pedrosa
ISISE - Institute for Sustainability and Innovation in Structural Engineering
Department of Civil Engineering
University of Coimbra
Portugal
Bruno Pedrosa (bruno.pedrosa@uc.pt)
Ver.: 26-April-2023
引用格式
Bruno Pedrosa (2025). Unigrow_Pedrosa (https://ww2.mathworks.cn/matlabcentral/fileexchange/128569-unigrow_pedrosa), MATLAB Central File Exchange. 检索时间: .
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