PSI - Issue 13

Danilo D’ Angela et al. / Procedia Structural Integrity 13 (2018) 939–946 Danilo D’Angela and Marianna Ercolino / Structural Integrity Procedia 00 ( 2018) 000 – 000

945

7

Table 3. Numerical and experimental fracture toughness.

Room/Cryogenic temperature

Fracture toughness [MPa m 0.5 ]

Φ -based

ASTM

plane stress plane strain

113 107

116 116

Numerical

Experimental

/

135

Conclusion

FE analysis of the fatigue crack growth of metal CT samples is performed in ABAQUS. LCF analysis is combined with XFEM technology, in order to (a) increase the accuracy of the results, (b) reduce the computational costs. A reference experimental study is used in terms of geometry and mechanical parameters of the material. Fatigue crack propagation curves are also evaluated by numerical integration of Paris law , using the ASTM formulation for the specification of the stress. The FE model results easy to implement and the models features have a clear physical meaning. The numerical crack propagation curves fit with good agreement the experimental data, even significantly better than the analytical solution ones. Numerical estimation of the critical conditions (i.e., fatigue life and fracture toughness) is very accurate. This study also demonstrates that the analytical solution is an expeditious tool for a safe-side estimation of the fatigue life. Ashari, S.E., Mohammadi, S., 2010. Modeling delamination in composite laminates using XFEM by new orthotropic enrichment functions. IOP Conf. Ser. Mater. Sci. Eng. 10, 012240. https://doi.org/10.1088/1757-899X/10/1/012240 ASTM International, 2015. ASTM E647-15e1, Standard Test Method for Measurement of Fatigue Crack Growth Rates. ASTM International, 2013. ASTM E1823-13, Standard Terminology Relating to Fatigue and Fracture Testing. Baxter, M., 2007. Damage Assessment by Acoustic Emission (AE) During Landing Gear Fatigue Testing. Belytschko, T., Black, T., 1999. Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45, 601 – 620. https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S Bergara, A., Dorado, J.I., Martin-Meizoso, A., Martínez-Esnaola, J.M., 2017. Fatigue crack propagation in complex stress fields: Experiments and numerical simulations using the Extended Finite Element Method (XFEM). Int. J. Fatigue 103, 112 – 121. https://doi.org/10.1016/j.ijfatigue.2017.05.026 Griffith, A.A., 1921. The Phenomena of Rupture and Flow in Solids. Philos. Trans. R. Soc. Math. Phys. Eng. Sci. 221, 163 – 198. https://doi.org/10.1098/rsta.1921.0006 Hedayati, E., Vahedi, M., 2014. Using Extended Finite Element Method for Computation of the Stress Intensity Factor, Crack Growth Simulation and Predicting Fatigue Crack Growth in a Slant-Cracked Plate of 6061-T651 Aluminum. World J. Mech. 04, 24 – 30. https://doi.org/10.4236/wjm.2014.41003 Hulton, A.W., Cavallaro, P.V., 2016. NUWC-NPT Technical Report 12,218. Composite Failures: A Comparison of Experimental Test Results and Computational Analysis Using XFEM. Irwin, G.., 1957. Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361 – 364. Irwin, G.., 1948. Fracture dynamics, in: Fracturing of Metals. American Society for Metals, Cleveland, OH. ISO, 2012. ISO 12108:2012. Metallic materials -- Fatigue testing -- Fatigue crack growth method. Khelil, F., Aour, B., Belhouari, M., Benseddiq, N., 2013. Modeling of Fatigue Crack Propagation in Aluminum Alloys Using an Energy Based Approach. Engineering 3, 488 – 496. Kim, S.-K., Lee, C.-S., Kim, J.-H., Kim, M.-H., Noh, B.-J., Matsumoto, T., Lee, J.-M., 2015. Estimation of Fatigue Crack Growth Rate for 7% Nickel Steel under Room and Cryogenic Temperatures Using Damage-Coupled Finite Element Analysis. Metals 5, 603 – 627. https://doi.org/10.3390/met5020603 Kucharski, P., Lesiuk, G., Czapliński, T., Fratczak, R., Maciejewski, Ł., 2016. Numerical estimation of stres s intensity factors and crack propagation in lug connector with existing flaw. p. 050002. https://doi.org/10.1063/1.4965949 Lee, Y.-L., Barkey, M.E., Kang, H.-T., 2012. Metal fatigue analysis handbook: practical problem-solving techniques for computer-aided engineering. Butterworth-Heinemann, Waltham, MA. Li, C.-J., 1999. Effects of temperature and loading rate on fracture toughness of structural steels. Mater. Des. 21, 27 – 30. https://doi.org/10.1016/S0261-3069(99)00042-4 London, T., De Bono, D.M., Sun, X., 2015. An Evaluation of the Low Cycle Fatigue Analysis Procedure in Abaqus for Crack Propagation: Numerical Benchmarks and Experimental Validation. Presented at the SIMULIA UK Regional Users Meeting. Makkonen, M., 2009. Predicting the total fatigue life in metals. Int. J. Fatigue 31, 1163 – 1175. https://doi.org/10.1016/j.ijfatigue.2008.12.008 Melson, J.H., 2014. Fatigue Crack Growth Analysis with Finite Element Methods and a Monte Carlo Simulation. Paris, P., Erdogan, F., 1963. A Critical Analysis of Crack Propagation Laws. J. Basic Eng. 85, 528. https://doi.org/10.1115/1.3656900 Pathak, H., Singh, A., Singh, I.V., 2013. Fatigue crack growth simulations of 3-D problems using XFEM. Int. J. Mech. Sci. 76, 112 – 131. https://doi.org/10.1016/j.ijmecsci.2013.09.001 References