Fatigue Crack Growth Under Variable Amplitude Loading Through XFEM

Abstract Predicting fatigue crack growth (FCG) rate and path under variable amplitude loading (VAL) is a crucial issue in damage tolerant design commonly used in aerospace industry. The aim of the current study is to predict FCG life under VAL through Extended Finite Element Method (XFEM) and to explicitly illustrate both FCG life and crack propagation. For this purpose an algorithm is developed and integrated in ABAQUS software to analyze 3D crack propagation under VAL using Modified Generalized Willen-borg (MGW) retardation model. The results are compared with NASGRO crack propagation software and experimental FCG test data on 7075-T6 aluminum alloy under various over load (OL) and over load-under load (OL-UL) conditions which exhibit a good agreement.

[1]  J. Newman A crack opening stress equation for fatigue crack growth , 1984 .

[2]  J. P. Gallagher,et al.  Influence of Yield Strength on Overload Affected Fatigue Crack Growth Behavior in 4340 Steel , 1974 .

[3]  I. Babuska,et al.  The partition of unity finite element method: Basic theory and applications , 1996 .

[4]  J. Willenborg,et al.  A Crack Growth Retardation Model Using an Effective Stress Concept , 1971 .

[5]  O. E. Wheeler Spectrum Loading and Crack Growth , 1972 .

[6]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[7]  J. P. Gallagher A Generalized Development of Yield Zone Models , 1974 .

[8]  K. Walker The Effect of Stress Ratio During Crack Propagation and Fatigue for 2024-T3 and 7075-T6 Aluminum , 1970 .

[9]  R. Forman,et al.  Numerical Analysis of Crack Propagation in Cyclic-Loaded Structures , 1967 .

[10]  T. Rabczuk,et al.  XLME interpolants, a seamless bridge between XFEM and enriched meshless methods , 2014 .

[11]  J. Newman A crack-closure model for predicting fatigue crack growth under aircraft spectrum loading , 1981 .

[12]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[13]  A. Hartman,et al.  The effects of environment and load frequency on the crack propagation law for macro fatigue crack growth in aluminium alloys , 1970 .

[14]  Dieter Siegele,et al.  Fatigue crack growth rates and paths in two planar specimens under mixed mode loading , 2014 .

[15]  B. Berthel,et al.  Fretting fatigue crack growth simulation based on a combined experimental and XFEM strategy , 2013 .

[16]  Kiran Solanki,et al.  Finite element modeling of plasticity-induced crack closure with emphasis on geometry and mesh refinement effects , 2003 .

[17]  T. R. Porter,et al.  Method of analysis and prediction for variable amplitude fatigue crack growth , 1972 .

[18]  Royce Forman,et al.  Behavior of surface and corner cracks subjected to tensile and bending loads in a Ti-6Al-4V alloy , 1992 .

[19]  W. Elber The Significance of Fatigue Crack Closure , 1971 .