Verification of fatigue critical plane position according to variance and damage accumulation methods under multiaxial loading

Abstract The paper presents a comparison of fracture plane position gained from experimental tests of specimens under multiaxial loading and theoretical ones from calculation according to variance and damage accumulation methods. In the variance method it is assumed that the plane in which the maximum variance of the equivalent stress appears is critical for a material and the fatigue fracture should be expected in this plane. In the damage accumulation method the fatigue critical plane is assumed to be the plane which suffered the greatest damage during service loading. For both methods the equivalent stress is calculated according to the multiaxial fatigue failure criteria of (i) maximum normal stresses, (ii) maximum shear stresses as well as (iii) maximum normal and shear stresses in the critical plane.

[1]  Carpinteri,et al.  A fracture plane approach in multiaxial high‐cycle fatigue of metals , 2000 .

[2]  Ewald Macha,et al.  ESTIMATED AND EXPERIMENTAL FATIGUE LIVES OF 30CrNiMo8 STEEL UNDER IN‐AND OUT‐OF‐PHASE COMBINED BENDING AND TORSION WITH VARIABLE AMPLITUDES , 2007 .

[3]  Luca Susmel,et al.  A stress‐based method to predict lifetime under multiaxial fatigue loadings , 2003 .

[4]  Andrea Carpinteri,et al.  Fatigue life assessment under a complex multiaxial load history: an approach based on damage mechanics , 2012 .

[5]  Ewald Macha,et al.  A critical plane approach based on energy concepts: application to biaxial random tension-compression high-cycle fatigue regime , 1999 .

[6]  T Lagoda.  Influence of correlations between stresses on calculated fatigue life of machine elements , 1996 .

[7]  Ewald Macha,et al.  Fatigue lives of 18G2A and 10HNAP steels under variable amplitude and random non-proportional bending with torsion loading , 2008 .

[8]  Ewald Macha,et al.  A survey of failure criteria and parameters in mixed-mode fatigue crack growth , 2009 .

[9]  G. Meneghetti,et al.  A Simple and Efficient Reformulation of the Classical Manson–Coffin Curve to Predict Lifetime Under Multiaxial Fatigue Loading—Part II: Notches , 2009 .

[10]  Andrea Carpinteri,et al.  Multiaxial high-cycle fatigue criterion for hard metals , 2001 .

[11]  Adam Niesłony,et al.  Critical plane fatigue life models of materials and structures under multiaxial stationary random loading: The state-of-the-art in Opole Research Centre CESTI and directions of future activities , 2012 .

[12]  A. Carpinteri,et al.  A multiaxial fatigue criterion for random loading , 2003 .

[13]  E. Macha,et al.  Simulation investigations of the position of Fatigue Fracture Plane in materials with biaxial loads , 1989 .

[14]  Dariusz Rozumek,et al.  The energy approach in the calculation of fatigue lives under non-proportional bending with torsion , 2010 .

[15]  D. Rozumek,et al.  The investigation of crack growth in specimens with rectangular cross-sections under out-of-phase bending and torsional loading , 2012 .

[16]  Ewald Macha,et al.  Covariance between components of biaxial stress state in fatigue life calculations , 1992 .

[17]  Andrea Carpinteri,et al.  Expected principal stress directions under multiaxial random loading. Part I: theoretical aspects of the weight function method , 1999 .

[18]  Andrea Carpinteri,et al.  Multiaxial fatigue life estimation in welded joints using the critical plane approach , 2009 .

[19]  Dariusz Rozumek,et al.  Control system of the fatigue stand for material tests under combined bending with torsion loading and experimental results , 2008 .

[20]  W. Będkowski,et al.  Fracture Plane of Cruciform Specimen in Biaxial Low Cycle Fatigue—Estimate by Variance Method and Experimental Verification , 1995 .

[21]  Andrea Carpinteri,et al.  Expected principal stress directions under multiaxial random loading. Part II: numerical simulation and experimental assessment through the weight function method , 1999 .