A path-dependent cycle counting method for variable-amplitude multi-axial loading

Abstract A path-dependent maximum range (PDMR) cycle counting method is presented in this paper for performing fatigue evaluation of engineering components under variable-amplitude and arbitrary multi-axial conditions. For a given multi-axial time history, PDMR method can be used to reliably extract the following parameters that are important for modeling multi-axial fatigue damage: (a) Path-independent reference effective stress or strain ranges which are defined as distances in a mapped stress or strain space. (b) Path-dependent effective stress or strain ranges which are defined as path lengths in completing the corresponding reference stress or strain ranges in an incremental sense in the same stress or strain space. (c) Histogram of both path-independent reference effective stress or strain ranges and their corresponding path lengths that can be consistently used to measure out-of-phase induced fatigue damage in arbitrary multi-axial loading. The effectiveness of PDMR method has been validated by its ability in correlating multi-axial fatigue data available in the literature. Its fracture mechanics basis is also illustrated. Under uniaxial loading conditions, PDMR method recovers exactly the same rainflow counting results.

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

[2]  Pingsha Dong,et al.  Master S-N curve method for fatigue evaluation of welded components , 2002 .

[3]  Denis Benasciutti,et al.  A frequency‐domain formulation of MCE method for multi‐axial random loadings , 2008 .

[4]  Luis Reis,et al.  Biaxial fatigue for proportional and non-proportional loading paths , 2008 .

[5]  Tana Tjhung,et al.  A life prediction model for welded joints under multiaxial variable amplitude loading histories , 2007 .

[6]  J. K. Hong,et al.  A Robust Structural Stress Parameter for Evaluation of Multiaxial Fatigue of Weldments , 2006 .

[7]  C. M. Sonsino,et al.  Multiaxial fatigue of welded joints under constant and variable amplitude loadings , 2001 .

[8]  A W Beeby,et al.  CONCISE EUROCODE FOR THE DESIGN OF CONCRETE BUILDINGS. BASED ON BSI PUBLICATION DD ENV 1992-1-1: 1992. EUROCODE 2: DESIGN OF CONCRETE STRUCTURES. PART 1: GENERAL RULES AND RULES FOR BUILDINGS , 1993 .

[9]  Fv Lawrence,et al.  Nonproportional Fatigue of Welded Structures , 1992 .

[10]  Bin Li,et al.  A computerized procedure for long‐life fatigue assessment under complex multiaxial loading , 2001 .

[11]  Chun H. Wang,et al.  An analysis of mean stress in multiaxial random fatigue , 1996 .

[12]  Ja Bannantine,et al.  A Multiaxial Fatigue Life Estimation Technique , 1992 .

[13]  Erkki Niemi,et al.  Stress determination for fatigue analysis of welded components , 1995 .

[14]  Luís Simões da Silva,et al.  Design of Steel Structures: Eurocode 3: Design of Steel Structures, Part 1-1: General Rules and Rules for Buildings , 2010 .

[15]  D. Nicholson.  On a mixed-mode Dugdale model , 1993 .

[16]  Chun H. Wang,et al.  Life Prediction Techniques for Variable Amplitude Multiaxial Fatigue—Part 1: Theories , 1996 .

[17]  Pingsha Dong,et al.  Equilibrium-equivalent structural stress approach to fatigue analysis of a rectangular hollow section joint , 2005 .

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

[19]  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 .

[20]  Abolhassan Khosrovaneh,et al.  Discussion of Fatigue Analysis Techniques in Automotive Applications , 2004 .

[21]  Harald Zenner,et al.  Fatigue strength of welded joints under multiaxial loading: experiments and calculations , 2001 .

[22]  Pingsha Dong,et al.  A structural stress definition and numerical implementation for fatigue analysis of welded joints , 2001 .

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

[24]  Ne Dowling,et al.  Fatigue Failure Predictions for Complicated Stress-Strain Histories , 1971 .

[25]  D. S. Dugdale.  Yielding of steel sheets containing slits , 1960 .

[26]  K Dang-Van,et al.  Macro-Micro Approach in High-Cycle Multiaxial Fatigue , 1993 .