Strain-based multiaxial fatigue damage modelling

A new multiaxial fatigue damage model named characteristic plane approach is proposed in this paper, in which the strain components are used to correlate with the fatigue damage. The characteristic plane is defined as a material plane on which the complex three-dimensional (3D) fatigue problem can be approximated using the plane strain components. Compared with most available critical plane-based models for multiaxial fatigue problem, the physical basis of the characteristic plane does not rely on the observations of the fatigue crack in the proposed model. The cracking information is not required for multiaxial fatigue analysis, and the proposed model can automatically adapt for different failure modes, such as shear or tensile-dominated failure. Mean stress effect is also included in the proposed model by a correction factor. The life predictions of the proposed fatigue damage model under constant amplitude loading are compared with a wide range of metal fatigue results in the literature.

[1]  C. M. Sellars,et al.  The effect of processing route, composition and hardness on the wear response of chromium bearing steels in a rolling-sliding configuration , 1997 .

[2]  K. Miller,et al.  Biaxial low-cycle fatigue failure of 316 stainless steel at elevated temperatures , 1982 .

[3]  Kangmin Kim,et al.  Multiaxial Fatigue Under Variable Amplitude Loads , 1999 .

[4]  Darrell F. Socie,et al.  Multiaxial Fatigue Damage Models , 1987 .

[5]  A. Kallmeyer,et al.  Evaluation of Multiaxial Fatigue Life Prediction Methodologies for Ti-6Al-4V , 2002 .

[6]  V. Strizhalo,et al.  Development of a constitutive model for biaxial low-cycle fatigue , 1996 .

[7]  F. Ellyin,et al.  High-Strain Multiaxial Fatigue , 1982 .

[8]  D. McDowell,et al.  Multiaxial Nonproportional Cyclic Deformation , 1982 .

[9]  Drew V. Nelson,et al.  Evaluation of an energy-based approach and a critical plane approach for predicting constant amplitude multiaxial fatigue life , 2000 .

[10]  The Prediction of Fatigue Fracture under Combined Stresses at Stress Concentrations , 1960 .

[11]  D. Shang,et al.  A simple approach to the description of multiaxial cyclic stress-strain relationship , 2000 .

[12]  I. Papadopoulos,et al.  Critical plane approaches in high-cycle fatigue : On the definition of the amplitude and mean value of the shear stress acting on the critical plane , 1998 .

[13]  M. V. Borodii,et al.  Analysis of the experimental data on a low cycle fatigue under nonproportional straining , 2000 .

[14]  K. J. Miller,et al.  A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions , 1973 .

[15]  K J Pascoe,et al.  Low cycle fatigue of steels under biaxial straining , 1967 .

[16]  A. Varvani-Farahani,et al.  A new energy-critical plane parameter for fatigue life assessment of various metallic materials subjected to in-phase and out-of-phase multiaxial fatigue loading conditions , 2000 .

[17]  S. Antolovich,et al.  A study of fatigue damage mechanisms in Waspaloy from 25 to 800 C , 1984 .

[18]  A. Fatemi,et al.  A CRITICAL PLANE APPROACH TO MULTIAXIAL FATIGUE DAMAGE INCLUDING OUT‐OF‐PHASE LOADING , 1988 .

[19]  M. Brown,et al.  CYCLIC DEFORMATION OF 1% Cr‐Mo‐V STEEL UNDER OUT‐OF‐PHASE LOADS , 1979 .

[20]  Darrell F. Socie,et al.  Biaxial Fatigue of Inconel 718 Including Mean Stress Effects , 1985 .

[21]  Wei-Xing Yao,et al.  Evaluation and comparison of several multiaxial fatigue criteria , 2004 .

[22]  F. A. Conle,et al.  Multiaxial Stress-Strain Modeling and Fatigue Life Prediction of SAE Axle Shafts , 1993 .

[23]  Darrell F. Socie,et al.  Constitutive modeling of metals under nonproportional cyclic loading , 1991 .

[24]  Chao Yu Hung,et al.  Fatigue life estimation under multiaxial loadings , 1999 .

[25]  D. Nelson,et al.  Biaxial Fatigue of A533B Pressure Vessel Steel , 1997 .

[26]  E. G. Ellison,et al.  A SIMPLE THEORY FOR LOW CYCLE MULTIAXIAL FATIGUE , 1980 .

[27]  J. A. Bannantine,et al.  A Variable Amplitude Multiaxial Fatigue Life Prediction Methods , 1989 .

[28]  Grzegorz Glinka,et al.  A MULTIAXIAL FATIGUE STRAIN ENERGY DENSITY PARAMETER RELATED TO THE CRITICAL FRACTURE PLANE , 1995 .

[29]  Nadot,et al.  Fatigue life assessment of nodular cast iron containing casting defects , 1999 .

[30]  D. Socie,et al.  Nonproportional Low Cycle Fatigue Criterion for Type 304 Stainless Steel , 1995 .

[31]  Jing Deng,et al.  Multiaxial Fatigue Damage Models , 2006 .

[32]  H. Nayeb-Hashemi,et al.  A MULTIAXIAL FATIGUE DAMAGE MODEL FOR ORTHOTROPIC MATERIALS UNDER PROPORTIONAL LOADING , 1993 .

[33]  K. S. Kim,et al.  Low-cycle fatigue of 1Cr–18Ni–9Ti stainless steel and related weld metal under axial, torsional and 90° out-of-phase loading , 2004 .

[34]  S. Kalluri,et al.  Elevated temperature axial and torsional fatigue behavior of Haynes 188 , 1992 .

[35]  Soon-Bok Lee,et al.  A critical review on multiaxial fatigue assessments of metals , 1996 .

[36]  Mauro Filippini,et al.  A comparative study of multiaxial high-cycle fatigue criteria for metals , 1997 .

[37]  Rl Meltzer,et al.  Multiaxial Fatigue: A Survey of the State of the Art , 1981 .

[38]  K. N. Smith.  A Stress-Strain Function for the Fatigue of Metals , 1970 .

[39]  K. S. Kim,et al.  A fatigue life model for 5% chrome work roll steel under multiaxial loading , 2004 .

[40]  K. J. Miller,et al.  Two Decades of Progress in the Assessment of Multiaxial Low-Cycle Fatigue Life , 1982 .

[41]  S. Kalluri,et al.  In-phase and out-of-phase axial-torsional fatigue behavior of Haynes 188 at 760 C , 1991 .

[42]  Daniel Kujawski,et al.  A unified approach to mean stress effect on fatigue threshold conditions , 1995 .

[43]  Mácha,et al.  Energy criteria of multiaxial fatigue failure , 1999 .

[44]  Xu Chen,et al.  A critical plane-strain energy density criterion for multiaxial low-cycle fatigue life under non-proportional loading , 1999 .

[45]  Y. Garud.  A New Approach to the Evaluation of Fatigue Under Multiaxial Loadings , 1981 .

[46]  K. S. Kim,et al.  fatigue analysis under variable amplitude loading using an energy parameter , 2003 .