Open Access Open Access  Restricted Access Subscription or Fee Access

Finite Element Modeling of Fatigue Crack Propagation Using a Self Adaptive Mesh Strategy

A. M. Alshoaibi(1*), A. K. Ariffin(2)

(1) Department of Mechanical & Materials Engineering, Universiti Kebangsaan Malaysia, Malaysia
(2) Department of Mechanical & Materials Engineering, Universiti Kebangsaan Malaysia, Malaysia
(*) Corresponding author



A new finite element model has been developed to predict fatigue crack growth in arbitrary 2D geometries under constant amplitude loading. The purpose of this model is on the determination of 2D crack paths and surfaces as well as on the evaluation of components Lifetimes as a part of the damage tolerant assessment. Throughout the simulation of crack propagation an automatic adaptive mesh is carried out in the vicinity of the crack front nodes and in the elements which represent the higher stresses distribution. The fatigue crack direction and the corresponding stress-intensity factors are estimated at each small crack increment by employing the displacement correlation technique under facilitation of singular crack tip elements. The propagation is modeled by successive linear extensions, which are determined by the stress intensity factors under linear elastic fracture mechanics (LEFM) assumption. The stress intensity factors range history has to be recorded along the small crack increments. Upon completion of the stress intensity factors range history recording, fatigue crack propagation life of the examined specimen is predicted. Verification of the predicted fatigue life is validated with relevant experimental data and numerical results obtained by other researchers. The comparisons show that this model is capable of demonstrating the fatigue life prediction results as well as the fatigue crack path satisfactorily.
Copyright © 2015 Praise Worthy Prize - All rights reserved.


Finite Element Simulation; Stress Intensity Factors; Mixed Mode Fracture; Adaptive Mesh; Fatigue Life Prediction

Full Text:



S. Courtin, C. Gardin, G. Bezine, H.B.H. Hamouda, Advantages of the J-Integral Approach For Calculating Stress Intensity Factors When Using The Commercial Finite Element Software ABAQUS. Engineering Fracture Mechanics Vol. 72, pp. 2174–2185, 2005.

J.C. Newman, A crack closure model for predicting fatigue crack growth under aircraft spectrum loading. ASTM STP, pp. 748:53–84, 1981.

J.C. Newman, FASTRAN II: A fatigue crack growth structural analysis program. NASA S TM, pp.104159, 1992.

D. Lebaillif, N. Recho, Brittle and Ductile Crack Propagation Using Automatic Finite Element Crack Box Technique. Engineering Fracture Mechanics, Vol. 7, pp. 1810–1824, 2007.

X. Yan, Automated Simulation of Fatigue Crack Propagation For Two-Dimensional Linear Elastic Fracture Mechanics Problems By Boundary Element Method. Engineering Fracture Mechanics, Vol. 74, pp. 1727-1738, 2007.

M. Duflot, H.N. Dang, Fatigue Crack Growth Analysis By An Enriched Meshless Method. Journal of Computational and Applied Mathematics Vol. 168: pp.155-164, 2004.

O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, The finite element method: its basis and fundamentals. Burlington: Elsevier Butterworth-Heinemann. 2005.

Abdulnaser M. Alshoaibi, M.S.A.Hadi and A. K. Ariffin. Two-dimensional numerical estimation of stress intensity factors and crack propagation in linear elastic Analysis. Journal of Structural Durability and Health Monitoring (SDHM). Vol. 3, No 1, pp.15-27, 2007.

Abdulnaser M. Alshoaibi. Finite element model for fracture and fatigue crack propagation under mixed mode loading. PhD Thesis, Universiti Kebangsaan Malaysia. 2007.

S. Phongthanapanich, P. Dechaumphai, Adaptive Delaunay Triangulation with Object-Oriented Programming For Crack Propagation Analysis. Finite Element in Analysis and Design, Vol. 40, pp. 1753-1771, 2004.

S.T. Tu, R.Y. Cai, A Coupling Of Boundary Elements and Singular Integral Equation for The Solution Of The Fatigue Cracked Body. Stress Analysis, pp. 239–247, 1993.

M. Duflot, H.N. Dang, A Meshless Method with Enriched Weight Functions for Fatigue Crack Growth. International Journal for Numerical Methods in Engineering, Vol. 59, pp. 1945-1961, 2004.

A.M. Yan, N.H. Dang, Multiple-Cracked Fatigue Crack Growth by BEM. Computational mechanics, Vol.16, pp. 273-280, 1995.

A.C.O. Miranda, M.A. Meggiolaro, J.T.P. Castro, L.F. Martha, T.N. Bittencourt, Fatigue Life and Path Predictions in Generic 2D Structural Components. Engineering Fracture Mechanics Vol. 70, pp.1259–79, 2003.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2019 Praise Worthy Prize