Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Document Type : Research Paper

Authors

¹ Department of Mechanical Engineering, Jazan University, P. O. Box 706, Jazan 45142, Kingdom of Saudi Arabia

² Department of Mechanical Engineering, Jazan University, Jazan , Kingdom of Saudi Arabia

https://doi.org/10.22061/jcarme.2019.5081.1622

Abstract

This paper proposes a combination of FRANC2D/L (2D crack growth simulation program) and ANSYS mechanical program (3D structural analysis for fracture mechanic analysis). The comparisons between the two software are performed for different case studies for stress intensity factors (SIFs) and crack growth trajectory. Crack growth is numerically simulated by a step-by-step 3D and 2D finite element method. The SIFs are calculated by using the displacement correlation technique. The procedure consists of computing SIFs, the crack growth path, stresses, and strain distributions via an incremental analysis of the crack extension, considering two and three-dimensional analysis. The finite element analysis for fatigue crack growth is performed for both software based on Paris's law, and the crack orientation is determined using maximum circumferential stress theory. The simulation results obtained in this study, using the finite element method, provide a good agreement with experimental results for all the case studies reviewed.

Graphical Abstract

Keywords

dor

20.1001.1.22287922.2021.11.1.11.3

References

[1] V. Infante, J. Silva, Case studies of computational simulations of fatigue crack propagation using finite elements analysis tools, Engineering Failure Analysis, Vol. 18, No. 2, pp. 616-624, 2011.

[2] P. Tada, Paris, and GR Irwin, The Stress Analysis of Cracks Handbook, pp. 2.25, 2001.

[3] S. Al Laham, S. I. Branch, 1998, Stress intensity factor and limit load handbook, British Energy Generation Limited,

[4] H. Tada, P. C. Paris, G. R. Irwin, The stress analysis of cracks, Handbook, Del Research Corporation, 1973.

[5] D. P. Rooke, D. J. Cartwright, Compendium of stress intensity factors, Procurement Executive, Ministry of Defence. H. M. S. O. 1976, 330 p(Book). 1976.

[6] J. E. Srawley, Wide range stress intensity factor expressions for ASTM E 399 standard fracture toughness specimens, International Journal of Fracture, Vol. 12, No. 3, pp. 475-476, 1976.

[7] M. E. Mobasher, H. Waisman, Adaptive modeling of damage growth using a coupled FEM/BEM approach, International Journal for Numerical Methods in Engineering, Vol. 105, No. 8, pp. 599-619, 2016.

[8] A. Grbović, G. Kastratović, A. Sedmak, I. Balać, M. D. Popović, Fatigue crack paths in light aircraft wing spars, International Journal of Fatigue, Vol. 123, pp. 96-104, 2019.

[9] Y. Liao, Y. Li, M. Huang, B. Wang, Y. Yang, S. Pei, Effect of hole relative size and position on crack deflection angle of repaired structure, Theoretical and Applied Fracture Mechanics, Vol. 101, pp. 92-102, 2019.

[10] M. Naderi, N. Iyyer, Fatigue life prediction of cracked attachment lugs using XFEM, International Journal of Fatigue, Vol. 77, pp. 186-193, 2015.

[11] A. Sedmak, Computational fracture mechanics: An overview from early efforts to recent achievements, Fatigue & Fracture of Engineering Materials & Structures, Vol. 41, No. 12, pp. 2438-2474, 2018.

[12] M. Maksimović, I. Vasović, K. Maksimović, S. Maksimović, D. Stamenković, Crack growth analysis and residual life estimation of structural elements under mixed modes, Procedia Structural Integrity, Vol. 13, pp. 1888-1894, (2018).

[13] D. L. Ren, S. Wan, Z. P. Zhong, K Value Calculation of Central Crack Plane Using FRANC2D, in Proceeding of, Trans Tech Publ, pp. 762-765 (2012).

[14] X. Zhang, L. Li, X. Qi, J. Zheng, X. Zhang, B. Chen, J. Feng, S. Duan, Experimental and numerical investigation of fatigue crack growth in the cracked gear tooth, Fatigue & Fracture of Engineering Materials & Structures, Vol. 40, No. 7, pp. 1037-1047, (2017).

[15] A. M. Alshoaibi, Finite element procedures for the numerical simulation of fatigue crack propagation under mixed mode loading, Structural Engineering and Mechanics, Vol. 35, No. 3, pp. 283-299, (2010).

[16] A. M. Alshoaibi, M. Hadi, A. Ariffin, Finite element simulation of fatigue life estimation and crack path prediction of two-dimensional structures components, HKIE Transactions, Vol. 15, No. 1, pp. 1-6, (2008).

[17] T. Ingrafea, FRANC3D, 3D fracture analysis code, The Cornell University Fracture Group, Cornell University, Ithaca, NY, (1996).
[18] A. M. Alshoaibi, A Two Dimensional Simulation of Crack Propagation using Adaptive Finite Element Analysis, Journal of Computational Applied Mechanics, Vol. 49, No. 2, pp. 335, (2018).

[19] F. D. V. Cornell Fracture Group, http://www.cfg. cornell.edu.

[20] A. C. O. Miranda, M. A. Meggiolaro, J. T. P. Castro, L. F. Martha, T. N. Bittencourt, Fatigue life and crack path predictions in generic 2D structural components, Engineering Fracture Mechanics, Vol. 70, No. 10, pp. 1259-1279, (2003).

[21] A. Ural, Modeling and simulation of fatigue crack growth in metals using LEFM and a damage-based cohesive model, Cornell University, (2004).

[22] J. Hochhalter, Finite element simulations of fatigue crack stages in AA 7075-T651 microstructure, (2010).

[23] A. M. Al-Mukhtar, B. Merkel, Simulation of the crack propagation in rocks using fracture mechanics approach, Journal of Failure Analysis and Prevention, Vol. 15, No. 1, pp. 90-100, (2015).

[24] B. R. Davis, 2014, Three-dimensional simulation of arbitrary crack growth, Cornell University,

[25] T. Bittencourt, P. Wawrzynek, A. Ingraffea, J. Sousa, Quasi-automatic simulation of crack propagation for 2D LEFM problems, Engineering Fracture Mechanics, Vol. 55, No. 2, pp. 321-334, (1996).

[26] M. F. Yaren, O. Demir, A. O. Ayhan, S. İriç, Three-dimensional mode-I/III fatigue crack propagation: Computational modeling and experiments, International Journal of Fatigue, Vol. 121, pp. 124-134, (2019).

[27] A. Kotousov, F. Berto, P. Lazzarin, F. Pegorin, Three dimensional finite element mixed fracture mode under anti-plane loading of a crack, Theoretical and Applied Fracture Mechanics, Vol. 62, pp. 26-33, (2012).

[28] F. Erdogan, G. Sih, On the crack extension in plates under plane loading and transverse shear, Journal of basic engineering, Vol. 85, No. 4, pp. 519-525, (1963).

[29] Y. J. Liu, Y. X. Li, W. Xie, Modeling of multiple crack propagation in 2-D elastic solids by the fast multipole boundary element method, Engineering Fracture Mechanics, Vol. 172, pp. 1-16, (2017).

[30] E. Giner, N. Sukumar, J. E. Tarancón, F. J. Fuenmayor, An Abaqus implementation of the extended finite element method, Engineering fracture mechanics, Vol. 76, No. 3, pp. 347-368, (2009).

[31] Madenci, E., Oterkus, E., 2014. Peridynamic theory and its applications. Springer.

[32] Ghajari, M., Iannucci, L., Curtis, P., A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media. Computer Methods in Applied Mechanics and Engineering 276, 431–452, (2014).

[33] B. Kilic, E. Madenci, Structure stability and failure analysis using peridynamic theory. International Journal of Non-linear Mechanics, Vol. 44, No. 8, pp. 845-854, (2009).

Name *

Email Address *

Affiliation *

Comments *

Security Code *

CAPTCHA Image

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Volume 11, Issue 1
September 2021
Pages 139-149

Files

Cited by

Share

How to cite

Statistics

Article View: 1,576
PDF Download: 1,496