Continuum damage mechanics based approach to study the effects of the scarf angle, surface friction and clamping force over the fatigue life of scarf bolted joints

Abstract In this study, an approach based on continuum damage mechanics is applied to the fatigue life prediction and to analysing the influence of various factor on scarf bolted joints used in an aircraft fuselage. First, the damage-coupled elastic-plastic constitutive equations and fatigue damage evolution equations are presented, and the corresponding numerical calculation algorithm is established using the ABAQUS platform. Then, the proposed fatigue damage model is validated by a group of fatigue tests on scarf joints. Subsequently, the aforementioned approach is applied to the influencing factor analysis of scarf bolted joints. The effects of the scarf angle, the surface friction and the clamping force are investigated in detail. In addition, the sensitivity of the fatigue life with respect to the scarf angle, surface friction and clamping force is evaluated. The effect mechanisms of these factors are revealed clearly, and the influencing trends are presented quantitatively, which has important practical significance for the design of scarf joints.

[1]  Reza Hojjati-Talemi,et al.  Prediction of fretting fatigue crack initiation in double lap bolted joint using Continuum Damage Mechanics , 2015 .

[2]  Jeffrey Vogwell,et al.  Investigation of the fatigue life and crack growth in torque tightened bolted joints , 2011 .

[3]  Harry R. Millwater,et al.  Development of a Probabilistic Linear Damage Methodology for Small Aircraft , 2011 .

[4]  Darrell F. Socie,et al.  Fatigue-life prediction using local stress-strain concepts , 1977 .

[5]  Mir Jalil Razavi,et al.  An experimental investigation of the bolt clamping force and friction effect on the fatigue behavior of aluminum alloy 2024-T3 double shear lap joint , 2011 .

[6]  Zdeněk P. Bažant,et al.  Mechanics of solid materials , 1992 .

[7]  Jean-Louis Chaboche,et al.  A NON‐LINEAR CONTINUOUS FATIGUE DAMAGE MODEL , 1988 .

[8]  Zhixin Zhan,et al.  Fatigue life calculation for a specimen with an impact pit considering impact damage, residual stress relaxation and elastic-plastic fatigue damage , 2017 .

[9]  Mohammad Zehsaz,et al.  Experimental and numerical study of fatigue crack growth of aluminum alloy 2024-T3 single lap simple bolted and hybrid (adhesive/bolted) joints , 2016 .

[10]  Yucan Fu,et al.  Cold expansion technology of connection holes in aircraft structures: A review and prospect , 2015 .

[11]  Jun Ding,et al.  Uniaxial ratcheting and fatigue failure of tempered 42CrMo steel : Damage evolution and damage-coupled visco-plastic constitutive model , 2009 .

[12]  K. N. Smith A Stress-Strain Function for the Fatigue of Metals , 1970 .

[13]  Zhixin Zhan,et al.  The fatigue life prediction for structure with surface scratch considering cutting residual stress, initial plasticity damage and fatigue damage , 2015 .

[14]  Barbara Rossi,et al.  Investigations on the fretting fatigue failure mechanism of bolted joints in high strength steel subjected to different levels of pre-tension , 2017 .

[15]  Michael Urban,et al.  Analysis of the fatigue life of riveted sheet metal helicopter airframe joints , 2003 .

[16]  I. R. McColl,et al.  Finite element simulation and experimental validation of fretting wear , 2004 .

[17]  Zhufeng Yue,et al.  Effect of detail design on fatigue performance of fastener hole , 2010 .

[18]  Lars Eric Jarfall OPTIMUM DESIGN OF JOINTS: THE STRESS SEVERITY FACTOR CONCEPT , 1972 .

[19]  Zhixin Zhan,et al.  Continuum damage mechanics-based approach to the fatigue life prediction for 7050-T7451 aluminum alloy with impact pit , 2016 .

[20]  Jean-Louis Chaboche,et al.  On some modifications of kinematic hardening to improve the description of ratchetting effects , 1991 .

[21]  Zhixin Zhan,et al.  Continuum damage mechanics combined with the extended finite element method for the total life prediction of a metallic component , 2017 .

[22]  Wim De Waele,et al.  On the use of digital image correlation for slip measurement during coupon scale fretting fatigue experiments , 2014 .

[23]  Jun Liu,et al.  Surface finish of open holes on fatigue life , 2007 .

[24]  James C. Newman,et al.  Effect of various aircraft production drilling procedures on hole quality , 2006 .

[25]  T. N. Chakherlou,et al.  An investigation about interference fit effect on improving fatigue life of a holed single plate in joints , 2010 .

[26]  Wen Shifeng,et al.  Experimental and analytical investigation of fatigue and fracture behaviors for scarfed lap riveted joints with different lap angle , 2013 .

[27]  Qingchun Meng,et al.  Numerical simulations of the fatigue damage evolution at a fastener hole treated by cold expansion or with interference fit pin , 2016 .

[28]  Michael M. Khonsari,et al.  Probabilistic simulation of fatigue damage and life scatter of metallic components , 2013 .

[29]  Kyong-Ho Chang,et al.  High cycle fatigue analysis in presence of residual stresses by using a continuum damage mechanics model , 2015 .

[30]  R. Seshadri,et al.  The Generalized Local Stress Strain (GLOSS) Analysis—Theory and Applications , 1991 .

[31]  George Z. Voyiadjis,et al.  Effects of fatigue damage and wear on fretting fatigue under partial slip condition , 2015 .

[32]  J. Lemaître,et al.  Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures , 2005 .

[33]  M. Wahab,et al.  Prediction of fretting fatigue crack initiation and propagation lifetime for cylindrical contact configuration , 2014 .

[34]  David J. Smith,et al.  Fatigue crack growth from plain and cold expanded holes in aluminium alloys , 2000 .

[35]  Joseph Edward Shigley,et al.  Mechanical engineering design , 1972 .

[36]  Tomas Ireman,et al.  On damage development in mechanically fastened composite laminates , 2000 .

[37]  Chul Young Park,et al.  Effect of load transfer on the cracking behavior at a countersunk fastener hole , 2007 .

[38]  Fei Shen,et al.  Fatigue and fretting fatigue life prediction of double-lap bolted joints using continuum damage mechanics-based approach , 2017 .

[39]  Jeffrey Vogwell,et al.  The effect of bolt clamping force on the fracture strength and the stress intensity factor of a plate containing a fastener hole with edge cracks , 2009 .

[40]  David Barlam,et al.  Machine Elements: Life and Design , 2007 .

[41]  Sean B. Leen,et al.  Finite element implementation of multiaxial continuum damage mechanics for plain and fretting fatigue , 2012 .

[42]  F. Leckie A course on damage mechanics , 1998 .

[43]  Laurent Duchene,et al.  Multiaxial fatigue damage modelling at macro scale of Ti–6Al–4V alloy , 2009 .

[44]  Qingchun Meng,et al.  A non-local approach based on the hypothesis of damage dissipation potential equivalence to the effect of stress gradient in fretting fatigue , 2016 .