The peak stress method applied to fatigue assessments of steel and aluminium fillet‐welded joints subjected to mode I loading

The aim of this work is to present an engineering method based on linear elastic finite element (FE) analyses oriented to fatigue strength assessments of fillet-welded joints made of steel or aluminium alloys and subjected to mode I loading in the weld toe region where fatigue cracks nucleate. The proposed approach combines the robustness of the notch stress intensity factor approach with the simplicity of the so-called ‘peak stress method’. Fatigue strength assessments are performed on the basis of (i) a well-defined elastic peak stress evaluated by FE analyses at the crack initiation point (design stress) and (ii) a unified scatter band (design fatigue curve) dependent on the class of material, i.e. structural steel or aluminium alloys. The elastic peak stress is calculated by using rather coarse meshes with a fixed FE size. A simple rule to calculate the elastic peak stress is also provided if a FE size different from that used in the present work is adopted. The method can be applied to joints having complex geometry by adopting a two-step analysis procedure that involves standard finite element (FE) models like those usually adopted in an industrial context. The proposed approach is validated against a number of fatigue data published in the literature.

[1]  E. C. Gomes,et al.  Fatigue performance of tungsten inert gas (TIG) and plasma welds in thin sections , 1999 .

[2]  M. E. Haddad,et al.  Fatigue Crack Propagation of Short Cracks , 1979 .

[3]  Shahram Sarkani,et al.  Thickness effects on the fatigue strength of welded steel cruciforms , 1997 .

[4]  G. Meneghetti,et al.  Fatigue strength of fillet welded structural steels: finite elements, strain gauges and reality , 2001 .

[5]  Bernard Gross,et al.  Plane elastostatic analysis of V-notched plates , 1972 .

[6]  Atsushi Takada,et al.  Fatigue behaviour of a box‐welded joint under biaxial cyclic loading: effects of biaxial load range ratio and cyclic compressive loads in the lateral direction , 2003 .

[7]  Paolo Lazzarin,et al.  Fatigue Strength Assessments of Welded Joints: from the Integration of Paris’ Law to a Synthesis Based on the Notch Stress Intensity Factors of the Uncracked Geometries , 2008, CP 2013.

[8]  Filippo Berto,et al.  Control volumes and strain energy density under small and large scale yielding due to tension and torsion loading , 2008 .

[9]  M. E. Haddad,et al.  Prediction of non propagating cracks , 1979 .

[10]  David Taylor,et al.  Fatigue assessment of welded joints using critical distance and other methods , 2005 .

[11]  Filippo Berto,et al.  Local strain energy density and fatigue strength of welded joints under uniaxial and multiaxial loading , 2008 .

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

[13]  Lixing Huo,et al.  Investigation of the fatigue behaviour of the welded joints treated by TIG dressing and ultrasonic peening under variable-amplitude load , 2005 .

[14]  Atsushi Takada,et al.  Fatigue behaviour of a box‐welded joint under biaxial cyclic loads , 1999 .

[15]  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 .

[16]  M. Fermér,et al.  Industrial experiences of FE-based fatigue life predictions of welded automotive structures , 2001 .

[17]  Paolo Lazzarin,et al.  A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches , 2001 .

[18]  Shahram Sarkani,et al.  Mean stress effects in fatigue of welded steel joints , 1996 .

[19]  Yuichi Yoshida,et al.  Fatigue properties of arc‐welded lap joints with weld start and end points , 2004 .

[20]  Guy Pluvinage,et al.  The use of notch stress intensity factor as a fatigue crack initiation parameter , 1995 .

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

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

[23]  Paolo Lazzarin,et al.  Fatigue strength of steel and aluminium welded joints based on generalised stress intensity factors and local strain energy values , 2005 .

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

[25]  R. Tovo,et al.  An implicit gradient application to fatigue of sharp notches and weldments , 2007 .

[26]  T R Gurney Fatigue of thin walled joints under complex loading , Abington Publishing , 37,500円 , 1998 .

[27]  L. P. Borrego,et al.  Fatigue life prediction in AlMgSi1 lap joint weldments , 2000 .

[28]  Paolo Lazzarin,et al.  Relationships between local and structural stress in the evaluation of the weld toe stress distribution , 1999 .

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

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

[31]  Paolo Lazzarin,et al.  A notch stress intensity approach applied to fatigue life predictions of welded joints with different local toe geometry , 2003 .

[32]  Ulf Wickström,et al.  Comments on calculation of temperature in fire-exposed bare steel structures in prEN 1993-1-2: Eurocode 3—design of steel structures—Part 1–2: general rules—structural fire design , 2005 .

[33]  Gary Marquis,et al.  A fatigue assessment method based on weld stress , 2006 .

[34]  Hironobu Nisitani,et al.  KI of a circumferential crack emanating from an ellipsoidal cavity obtained by the crack tip stress method in FEM , 2004 .

[35]  Paolo Lazzarin,et al.  A unified treatment of the mode I fatigue limit of components containing notches or defects , 2005 .

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

[37]  Zhi-Gang Xiao,et al.  A method of determining geometric stress for fatigue strength evaluation of steel welded joints , 2004 .

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

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

[40]  M. Williams,et al.  Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension , 1952 .

[41]  Paolo Lazzarin,et al.  Significance of the elastic peak stress evaluated by FE analyses at the point of singularity of sharp V-notched components , 2007 .

[42]  Per J. Haagensen,et al.  Fatigue design of welded aluminum rectangular hollow section joints , 1999 .