Structural integrity assessment of metallic components under multiaxial fatigue: the C–S criterion and its evolution

The present paper discusses the evolution of a critical plane-based multiaxial high-cycle fatigue criterion, known as Carpinteri–Spagnoli criterion. By proposing appropriate changes to the original formulation, the extended versions of the aforementioned criterion are able to assess smooth and notched metallic structural components subjected to different fatigue loading conditions, such as multiaxial in-phase and out-of-phase synchronous cyclic loading, asynchronous cyclic loading and random loading. The results obtained through this criterion are compared with some experimental results related to relevant data reported in the literature.

[1]  H. J. Gough,et al.  SOME EXPERIMENTS ON THE RESISTANCE OF METALS TO FATIGUE UNDER COMBINED STRESSES PART I AND PART II. Reports and Memoranda No. 2522 , 1952 .

[2]  W. N. Findley,et al.  Theories relating to fatigue of materials under combinations of stress , 1956 .

[3]  W. Findley A Theory for the Effect of Mean Stress on Fatigue of Metals Under Combined Torsion and Axial Load or Bending , 1959 .

[4]  Tomokazu Matake An Explanation on Fatigue Limit under Combined Stress , 1977 .

[5]  T. Topper,et al.  J integral applications for short fatigue cracks at notches , 1980 .

[6]  Masao Sakane,et al.  Effect of Changing Principal Stress Axes on Low-Cycle Fatigue Life in Various Strain Wave Shapes at Elevated Temperature , 1985 .

[7]  D. L. McDiarmid,et al.  FATIGUE UNDER OUT‐OF‐PHASE BENDING AND TORSION , 1987 .

[8]  Masahiro Endo,et al.  Effects of an Artificial Small Defect on Torsional Fatigue Strength of Steels , 1987 .

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

[10]  Serge Lasserre,et al.  Multiaxial fatigue endurance of 30NCD16 steel , 1989 .

[11]  D. L. Mcdiarmid A GENERAL CRITERION FOR HIGH CYCLE MULTIAXIAL FATIGUE FAILURE , 1991 .

[12]  J Cacko Simultaneous computer simulation of operational random processes and continual rainflow counting , 1992 .

[13]  Serge Lasserre,et al.  Multiaxial fatigue of steel—testing out of phase and in blocks: validity and applicability of some criteria , 1992 .

[14]  I. V. Papadopoulos,et al.  A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals , 1994 .

[15]  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 .

[16]  David Taylor,et al.  Geometrical effects in fatigue: a unifying theoretical model , 1999 .

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

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

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

[21]  Andrea Carpinteri,et al.  Expected position of the fatigue fracture plane by using the weighted mean principal Euler angles , 2002 .

[22]  L. Susmel,et al.  A bi-parametric Wöhler curve for high cycle multiaxial fatigue assessment , 2002 .

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

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

[25]  Andrea Carpinteri,et al.  A multiaxial criterion for notch high-cycle fatigue using a critical-point method☆ , 2008 .

[26]  Andrea Carpinteri,et al.  A CRITICAL PLANE-BASED CRITERION FOR HIGH-CYCLE MULTIAXIAL FATIGUE USING AVERAGED PRINCIPAL STRESS DIRECTIONS , 2008 .

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

[28]  Andrea Carpinteri,et al.  Multiaxial fatigue assessment using a simplified critical plane-based criterion , 2011 .

[29]  Luca Susmel,et al.  Estimating fatigue damage under variable amplitude multiaxial fatigue loading , 2011 .

[30]  Luca Susmel,et al.  A critical distance/plane method to estimate finite life of notched components under variable amplitude uniaxial/multiaxial fatigue loading , 2012 .