A statistical model for fatigue crack growth under random loads including retardation effects

A model for the statistical analysis of crack growth under random loading that includes the loading sequence eAect is presented. The model defines and incorporates an equivalent closure stress that is included in the fatigue crack growth law via the eAective stress intensity factor. The equivalent closure stress for each loading process is obtained from the probability density function of peaks p(S) in the random loading process, the properties of the material and the specimen geometry. The model was applied to the analysis of crack growth life under random loading on sheets of two diAerent aluminum alloys: 2024-T351 and 2219-T851. The crack-growth lifetimes thus obtained were consistent with experimental data and with the results obtained by using a cycle-by-cycle simulation scheme. # 1998 Elsevier Science Ltd. All rights reserved.

[1]  G. Wang,et al.  A strip model for fatigue crack growth predictions under general load conditions , 1991 .

[2]  James C. Newman,et al.  Prediction of Fatigue Crack Growth under Variable-Amplitude and Spectrum Loading Using a Closure Model , 1982 .

[3]  R. Fields,et al.  Basic questions in fatigue , 1988 .

[4]  H. Parkus Random Excitation of Structures by Earthquakes and Atmospheric Turbulence , 1977 .

[5]  Jb Chang Round-Robin Crack Growth Predictions on Center-Cracked Tension Specimens under Random Spectrum Loading , 1981 .

[6]  Ws Johnson Multi-Parameter Yield Zone Model for Predicting Spectrum Crack Growth , 1981 .

[7]  James C. Newman FASTRAN-2: A fatigue crack growth structural analysis program , 1992 .

[8]  Fatigue crack growth under random overloads superimposed on constant-amplitude cyclic loading , 1986 .

[9]  Julius S. Bendat,et al.  Probability Functions for Random Responses: Prediction of Peaks, Fatigue Damage, and Catastrophic Failures , 1964 .

[10]  Roy T. Watanabe,et al.  Development of Fatigue Loading Spectra , 1989 .

[11]  Kazimierz Sobczyk,et al.  Random fatigue crack growth with retardation , 1986 .

[12]  J. Domínguez,et al.  On the use of the strip-yield model to predict fatigue crack growth under irregular loading , 1997 .

[13]  Jaime Domínguez,et al.  A statistical approach to fatigue life predictions under random loading , 1990 .

[14]  J. C. Newman,et al.  Advances in fatigue life prediction methodology for metallic materials , 1992 .

[15]  Steven R. Winterstein,et al.  Variable amplitude load models for fatigue damage and crack growth , 1989 .

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

[17]  Masanobu Shinozuka,et al.  Applications of Digital Simulation of Gaussian Random Processes , 1977 .

[18]  J. Mayo,et al.  THE RANDOMNESS OF FATIGUE CRACK GROWTH UNDER CONSTANT-AMPLITUDE LOADS , 1996 .

[19]  Jaime Domínguez,et al.  Effect of load histories on scatter of fatigue crack growth in aluminum alloy 2024-T351 , 1997 .

[20]  J. Schijve,et al.  Some formulas for the crack opening stress level , 1980 .

[21]  R. W. Landgraf,et al.  Advances in Fatigue Lifetime Predictive Techniques , 1992 .

[22]  Norman A. Fleck,et al.  Influence of Stress State on Crack Growth Retardation , 1988 .

[23]  J. B. Chang,et al.  Methods and models for predicting fatigue crack growth under random loading , 1981 .

[24]  J. Avyle,et al.  Fatigue crack growth from narrow-band Gaussian spectrum loading in 6063 aluminum alloy , 1992 .

[25]  Pr Abelkis,et al.  Design of fatigue and fracture resistant structures , 1982 .

[26]  W. Geary,et al.  SOME ASPECTS OF FATIGUE CRACK GROWTH RETARDATION BEHAVIOUR FOLLOWING TENSILE OVERLOADS IN A STRUCTURAL STEEL , 1996 .