Multiaxial fatigue life estimation in welded joints using the critical plane approach

Abstract Many engineering structures experience multiaxial fatigue states of stress–strain in the vicinity of welded joints. Fatigue assessment of welded joints under proportional (in-phase) cyclic loading can be performed by using conventional hypotheses (e.g., see the von Mises criterion or the Tresca criterion) on the basis of local approaches. On the contrary, the fatigue life predictions of welded joints under non-proportional (out-of-phase) cyclic loading are generally poor if these conventional hypotheses are used. In the present paper, the critical plane-based multiaxial fatigue criterion proposed by Carpinteri and Spagnoli for smooth and notched structural components is extended to the fatigue assessment of welded joints under in- and out-of-phase loadings. The applicability of this criterion, expressed in terms of nominal stresses, to the fatigue life prediction of welded specimens is investigated by using experimental data available in the literature.

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

[2]  Paolo Lazzarin,et al.  Notch stress intensity factors and fatigue strength of aluminium and steel welded joints , 2001 .

[3]  K. J. Miller,et al.  INITIATION AND GROWTH OF CRACKS IN BIAXIAL FATIGUE , 1979 .

[4]  Chanakya Arya,et al.  Eurocode 3: Design of steel structures , 2018, Design of Structural Elements.

[5]  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 .

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

[7]  Luca Susmel,et al.  On the use of nominal stresses to predict the fatigue strength of welded joints under biaxial cyclic loading , 2004 .

[8]  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 .

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

[10]  John Goodman,et al.  Mechanics applied to engineering , 1904 .

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

[12]  T R Gurney,et al.  The Fatigue Strength of Transverse Fillet Welded Joints , 1991 .

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

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

[15]  Dieter Radaj,et al.  Design and Analysis of Fatigue Resistant Welded Structures , 1990 .

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

[17]  T. Partanen,et al.  Hot spot stress approach to fatigue strength analysis of welded components : Fatigue test data for steel plate thicknesses up to 10 mm , 1996 .

[18]  Timothy Russell Gurney,et al.  Fatigue of Welded Structures , 1980 .

[19]  D. Radaj,et al.  Review of fatigue strength assessment of nonwelded and welded structures based on local parameters , 1996 .

[20]  David Taylor,et al.  Some new methods for predicting fatigue in welded joints , 2002 .

[21]  David Taylor,et al.  Prediction of fatigue behaviour in stress-concentrators of arbitrary geometry , 1996 .

[22]  C. M. Sonsino,et al.  fatigue assessment of welded joints in AlMg 4.5Mn aluminium alloy (AA 5083) by local approaches , 1999 .

[23]  F. V. Lawrence,et al.  Analytical and Graphical Aids for the Fatigue Design of Weldments , 1985 .

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

[25]  Andrea Spagnoli,et al.  A new high-cycle fatigue criterion applied to out-of-phase biaxial stress state , 2001 .

[26]  K. Dang Van,et al.  FATIGUE DESIGN CRITERION FOR WELDED STRUCTURES , 1996 .

[27]  David Taylor,et al.  A mechanistic approach to critical-distance methods in notch fatigue , 2001 .

[28]  Yves Verreman,et al.  Early development of fatigue cracking at manual fillet welds , 1996 .

[29]  David Taylor Crack modelling: A technique for the fatigue design of components , 1996 .

[30]  David Taylor,et al.  Prediction of fatigue failure location on a component using a critical distance method , 2000 .

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

[32]  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 .

[33]  O. Basquin The exponential law of endurance tests , 1910 .

[34]  M. Bäckström,et al.  A review of multiaxial fatigue of weldments: experimental results, design code and critical plane approaches , 2001 .

[35]  Paolo Lazzarin,et al.  A NOTCH INTENSITY FACTOR APPROACH TO THE STRESS ANALYSIS OF WELDS , 1998 .

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

[37]  C. M. Sonsino,et al.  A notch stress intensity approach to assess the multiaxial fatigue strength of welded tube‐to‐flange joints subjected to combined loadings , 2004 .

[38]  Dieter Radaj,et al.  Local stress parameters at the weld spot of various specimens , 1990 .

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

[40]  Timm Seeger,et al.  Fatigue crack growth of a welded tube–flange connection under bending and torsional loading , 2001 .