Fatigue crack growth analysis on square prismatic with embedded cracks under tension loading
DOI:
https://doi.org/10.15282/jmes.11.1.2017.10.0231Keywords:
Fatigue analysis, fatigue crack growth rate, 3-D embedded cracks, S-version FEM.Abstract
One of the most important issues yet to be overcome by engineers is the integrity and reliability of engineering structures. This is to ensure the safety of the engineering structure is at the greatest since the catastrophic failures usually occur due to fatigue crack growth. Due to insufficient studies on the fatigue embedded crack growth, the prismatic bar is chosen as the model of the structure. It is wise to select the solid bar since the analysis can be much simpler, thus making it easier to examine the behaviour of the fatigue crack growth. In this study, the metallic square prismatic with embedded cracks is analysed using S-version Finite Element Modelling (S-version FEM) under tension loading. The S-version FEM is an open source program, that is built from codes previously compiled as a program. The S-version FEM structured using the global-local overlay technique consists of two separate global and local meshes. By using the basic concept from the energy release rate and stress intensity factors (SIF), the behaviour of the fatigue crack growth is analysed. From the linear elastic fracture mechanics concept, the SIF is calculated using the virtual crack closure-integral method. The influences of different initial crack size and aspect ratios on the fatigue crack growth are investigated in this study. In addition, the SIF results from the S-version FEM are compared with the analytical solutions. From the analysis, the root mean square errors (RMSE) are performed to support the validation. The RMSE shows a very small error of 0.227, 0.086 and 0.3089 according to the aspect ratio of 0.5, 1.0 and 2.0, respectively. The results also show significant characteristics and behaviour of the SIF trend along the crack front, corresponding to different aspect ratios. From this study, the S-version FEM is suitable to be used to predict the fatigue crack growth for the cracks embedded in a structure. Subsequently, the S-version FEM is an open source program can be modified for increasingly complex engineering problems.
References
Mansor NII, Abdullah S, Ariffin AK, Syarif J. A review of the fatigue failure mechanism of metallic materials under a corroded environment. Engineering Failure Analysis. 2014;42:353-65.
Qian G, Niffenegger M. Probabilistic fracture assessment of piping systems based on FITNET FFS procedure. Nuclear Engineering and Design. 2011;241:714-22.
Kanto Y, Onizawa K, Machida H, Isobe Y, Yoshimura S. Recent Japanese research activities on probabilistic fracture mechanics for pressure vessel and piping of nuclear power plant. International Journal of Pressure Vessels and Piping. 2010;87:11-6.
Hong SW, Koo JM, Seok CS, Kim JW, Kim JH, Hong SK. Fatigue life prediction for an API 5L X42 natural gas pipeline. Engineering Failure Analysis. 2015; 56:396-402.
Mohamed SAN, Abdullah S, Arifin A, Ariffin AK, Padzi MM. Characterization of the biaxial fatigue behaviour on medium carbon steel using the strain-life approach. International Journal of Automotive and Mechanical Engineering. 2016;13:3262-77.
Mahmud M, Abdullah S, Yunoh MFM, Ariffin AK, Nopiah ZM. Damaging fatigue cycles determination for random service loadings using mixed Weibull analysis. International Journal of Automotive and Mechanical Engineering. 2016;13:3628-41.
Sivananth V, Vijayarangan S. Fatigue life analysis and optimization of a passenger car steering knuckle under operating conditions. International Journal of Automotive and Mechanical Engineering. 2015;11:2417-29.
Lotsberg I, Sigurdsson G, Fjeldstad A, Moan T. Probabilistic methods for planning of inspection for fatigue cracks in offshore structures. Marine Structures. 2016;46:167-92.
Shaari MS, Ariffin AK, Akiyuki T, Abdullah S, Kikuchi M, Akramin MRM. Prediction of fatigue crack growth for semi-elliptical surface cracks using S-version fem under tension loading. Journal of Mechanical Engineering and Sciences. 2016;10:2375-86.
Akramin MRM, Shaari MS, Ariffin AK, Kikuchi M, Abdullah S. Surface crack analysis under cyclic loads using probabilistic S-version finite element model. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2015;37:1851-65.
Katsumata G, Li Y, Hasegawa K, Lacroix V. Remaining lives of fatigue crack growths for pipes with subsurface flaws and subsurface-to-surface flaw proximity rules. Journal of Pressure Vessel Technology. 2016;138:051402-.
Ahmad MIM, Arifin A, Abdullah S. Evaluating effect of magnetic flux leakage signals on fatigue crack growth of mild steel. Journal of Mechanical Engineering and Sciences. 2016;10:1827-34.
Ahmad MIM, Arifin A, Abdullah S. Evaluation of magnetic flux leakage signals on fatigue crack growth of mild steel. Journal of Mechanical Engineering and Sciences. 2015;9:1727-33.
Kikuchi M, Wada Y, Suga K. Surface crack growth simulation under mixed mode cyclic loading condition. Procedia Engineering. 2011;10:427-32.
Wu SY, Tsai BJ, Chen JJ. Elastic-plastic finite element analyses for reducers with constant-depth internal circumferential surface cracks. International Journal of Pressure Vessels and Piping. 2015;131:10-4.
Wu J-Y, Li F-B. An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks. Computer Methods in Applied Mechanics and Engineering. 2015; 295: 77-107.
Dündar H, Ayhan AO. Non-planar crack growth analyses of multiple cracks in thin-walled structures. International Journal of Fatigue. 2016; 96(2): 596-604.
Sivananth V, S.Vijayarangan. Fatigue life analysis and optimization of a passenger car steering knuckle under operating conditions. International Journal of Automotive and Mechanical Engineering. 2015;11:2417-29.
Kamal M, Rahman MM. Finite element-based fatigue behaviour of springs in automobile suspension. International Journal of Automotive and Mechanical Engineering. 2014;10:1910-9.
Kamal M, Rahman MM. Fatigue life estimation based on continuum mechanics theory with application of genetic algorithm. International Journal of Automotive and Mechanical Engineering. 2015;11:2586-98.
Almaraz GMD, Tapia MG, Silva EET, Calderón EC. Fatigue life prediction based on macroscopic plastic zone on fracture surface of AISI-SAE 1018 Steel. International Journal of Automotive and Mechanical Engineering. 2010;1:29-37.
Hussain F, Abdullah S, Nuawi MZ. Effect of temperature on fatigue life behaviour of aluminium alloy AA6061 using analytical approach. Journal of Mechanical Engineering and Sciences. 2016;10:2324-35.
Kamal M, Rahman MM, Rahman AGA. Fatigue life evaluation of suspension knuckle using multibody simulation technique. Journal of Mechanical Engineering and Sciences. 2012;3:291-300.
Gu D, He B. Finite element simulation and experimental investigation of residual stresses in selective laser melted Ti–Ni shape memory alloy. Computational Materials Science. 2016;117:221-32.
Zhang YM, Fan M, Xiao ZM, Zhang WG. Fatigue analysis on offshore pipelines with embedded cracks. Ocean Engineering. 2016;117:45-56.
Patelli E, Murat Panayirci H, Broggi M, Goller B, Beaurepaire P, Pradlwarter HJ, et al. General purpose software for efficient uncertainty management of large finite element models. Finite Elements in Analysis and Design. 2012;51:31-48.
Fish J. The s-version of the finite element method. Computers & Structures. 1992;43:539-47.
Okada H, Kawai H, Tokuda T, Fukui Y. Fully automated mixed mode crack propagation analyses based on tetrahedral finite element and VCCM (virtual crack closure-integral method). International Journal of Fatigue. 2013;50:33-9.
Wada Y, Kikuchi M, Yamada S, Serizawa R, Li Y. Fatigue growth of internal flaw: Simulation of subsurface crack penetration to the surface of the structure. Engineering Fracture Mechanics. 2014;123:100-15.
Newman Jr JC, Raju IS. Stress-intensity factor equations for cracks in three-dimensional finite bodies subjected to tension and bending loads. NASA Technical Memorandum 85793. 1984.
Kikuchi M, Wada Y, Li Y. Crack growth simulation in heterogeneous material by S-FEM and comparison with experiments. Engineering Fracture Mechanics. 2016.
Rybicki EF, Kanninen MF. A finite element calculation of stress intensity factors by a modified crack closure integral. Engineering Fracture Mechanics. 1977;9:931-8.
Paris P, Erdogan F. A Critical Analysis of Crack Propagation Laws. Journal of Basic Engineering. 1963;85:528-33.
Richard HA, Sander M, Fulland M, Kullmer G. Development of fatigue crack growth in real structures. Engineering Fracture Mechanics. 2008;75:331-40.
Richard HA, Fulland M, Sander M. Theoretical crack path prediction. Fatigue & Fracture of Engineering Materials & Structures. 2005;28:3-12.
Miyamoto H, Kikuchi M, Okazaki T, Kubo M. First Special Issue on SMiRT-7The J integral evaluation of a nozzle corner crack under thermal transient loading condition. Nuclear Engineering and Design. 1983;75:213-22.
Okada H, Higashi M, Kikuchi M, Fukui Y, Kumazawa N. Three dimensional virtual crack closure-integral method (VCCM) with skewed and non-symmetric mesh arrangement at the crack front. Engineering Fracture Mechanics. 2005;72:1717-37.
Gardin C, Fiordalisi S, Sarrazin-Baudoux C, Gueguen M, Petit J. Numerical prediction of crack front shape during fatigue propagation considering plasticity-induced crack closure. International Journal of Fatigue. 2016;88:68-77.
Jin HJ, Wu SJ. A new driving force parameter for fatigue growth of multiple cracks. International Journal of Fatigue. 2017;96:10-6.
Chandra D, Purbolaksono J, Nukman Y, Liew HL, Ramesh S, Hamdi M. Fatigue crack growth of a corner crack in a square prismatic bar under combined cyclic torsion–tension loading. International Journal of Fatigue. 2014;64:67-73.
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