Fatigue crack growth under variable amplitude loading Part II: analytical and numerical investigations

In part I, the effects of variable amplitude loadings on the fatigue crack growths were illustrated by means of experimental results. Within the scope of part II, systematic analytical and numerical investigations are presented. Using different analytical concepts it can be shown that the lifetime depends both on the concept used and on the loading sequence. Also, the influence of the parameters that must be fitted by experimental data for all analytical prediction models has been investigated. By means of detailed elastic–plastic finite element simulations it becomes obvious that not only the crack opening caused by large plastic deformations subsequent to overloads and block loadings, but also the stress field in the ligament is an indicator for the retardation effect. If the σy-stresses both at maximum and minimum loading are identical with the σy-stress distribution of an appropriate constant amplitude (CA) loading, one can assume that the interaction effect is annihilated.

[1]  Hans Albert Richard,et al.  Lifetime predictions for real loading situations—concepts and experimental results of fatigue crack growth , 2003 .

[2]  Ji-Ho Song,et al.  Finite‐element analysis of fatigue crack closure under plane strain conditions: stabilization behaviour and mesh size effect , 2005 .

[3]  Ogura Keui,et al.  FEM analysis of crack closure and delay effect in fatigue crack growth under variable amplitude loading , 1977 .

[4]  S. Atluri,et al.  FATIGUE CRACK CLOSURE AND DELAY EFFECTS UNDER MODE I SPECTRUM LOADING: AN EFFICIENT ELASTIC–PLASTIC ANALYSIS PROCEDURE , 1979 .

[5]  Stefano Beretta,et al.  APPLICATION OF THE STRIP-YIELD CRACK CLOSURE MODEL TO CRACK GROWTH PREDICTIONS FOR STRUCTURAL STEEL , 2005 .

[6]  H. Richard,et al.  Numerical and experimental analysis of residual stresses for fatigue crack growth , 1999 .

[7]  C. M. Hudson A Root-Mean-Square Approach for Predicting Fatigue Crack Growth under Random Loading , 1981 .

[8]  H. Richard,et al.  Finite element and experimental analyses of fatigue crack closure for structural steel , 2005 .

[9]  Pommier,et al.  Bauschinger effect of alloys and plasticity-induced crack closure: a finite element analysis , 2000 .

[10]  R. Ritchie,et al.  On the Role of Crack Closure Mechanisms in Influencing Fatigue Crack Growth Following Tensile Overloads in a Titanium Alloy: Near Threshold Versus Higher Δ K Behavior , 1988 .

[11]  A. U. De Koning,et al.  A Simple Crack Closure Model for Prediction of Fatigue Crack Growth Rates Under Variable-Amplitude Loading , 1981 .

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

[13]  H. Richard,et al.  Finite element analysis of fatigue crack growth with interspersed mode I and mixed mode overloads , 2005 .

[14]  Ji-Ho Song,et al.  DETERMINATION OF THE MOST APPROPRIATE MESH SIZE FOR A 2‐D FINITE ELEMENT ANALYSIS OF FATIGUE CRACK CLOSURE BEHAVIOUR , 1997 .

[15]  E. Wolf Fatigue crack closure under cyclic tension , 1970 .

[16]  S. Pommier Cyclic plasticity and variable amplitude fatigue , 2003 .

[17]  Hans Albert Richard,et al.  Development of a new software for adaptive crack growth simulations in 3D structures , 2003 .

[18]  Jaime Domínguez,et al.  Fatigue crack growth under variable amplitude loading , 1994 .

[19]  F. Erdogan,et al.  Fatigue and fracture of cylindrical shells containing a circumferential crack , 1970 .

[20]  N. Fleck,et al.  Analysis of Crack Closure Under Plane Strain Conditions , 1988 .

[21]  J. Newman,et al.  Three-Dimensional Finite-Element Simulation of Fatigue Crack Growth and Closure , 1988 .

[22]  U. H. Padmadinata,et al.  Investigation of crack-closure prediction models for fatigue in aluminum alloy sheet under flight-simulation loading , 1990 .

[23]  Td Gray,et al.  Predicting Fatigue Crack Retardation Following a Single Overload Using a Modified Wheeler Model , 1976 .

[24]  Guido Dhondt,et al.  Cutting of a 3-D finite element mesh for automatic mode I crack propagation calculations , 1998 .

[25]  Tai-Yan Kam,et al.  Reliability analysis of brittle systems considering several random variables , 1989 .

[26]  Hans Albert Richard,et al.  Application of the FE‐Method to the Simulation of Fatigue Crack Growth in real Structures , 2003 .