0
Journal of Engineering Materials and Technology | Volume 139 | Issue 2 | research-article
Research Papers

Fatigue Damage Analysis of Double-Lap Bolted Joints Considering the Effects of Hole Cold Expansion and Bolt Clamping Force

[+] Author and Article Information
Ying Sun, Qingchun Meng, Yuanming Xu

School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China

George Z. Voyiadjis

Computational Solid Mechanics Laboratory,
Department of Civil and Environmental
Engineering,
Louisiana State University,
Baton Rouge, LA 70803

Weiping Hu

School of Aeronautics Science and Engineering,
Beihang University,
Room D604, New Main Building,
37th Xueyuan Road,
Beijing 100191, China;Computational Solid Mechanics Laboratory,
Department of Civil and Environmental
Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: huweiping@buaa.edu.cn

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received May 31, 2016; final manuscript received September 13, 2016; published online February 7, 2017. Assoc. Editor: Taehyo Park.

J. Eng. Mater. Technol 139(2), 021007 (Feb 07, 2017) (10 pages) Paper No: MATS-16-1157; doi: 10.1115/1.4035325 History: Received May 31, 2016; Revised September 13, 2016
Article
References
Figures
Tables
Citing Articles

Hole cold expansion and bolt clamping force are usually applied to improve the fatigue performance of bolted joints. In order to investigate the effects of hole cold expansion and bolt clamping force and reveal the mechanism of these two factors on the fatigue damage of bolted joint, a continuum damage mechanics (CDM) based approach in conjunction with the finite element method is used. The damage-coupled Voyiadjis plasticity constitutive model is used to represent the material behavior, which is implemented by user material subroutine in abaqus. The elasticity and plasticity damage evolutions of the material are described by the stress-based and plastic-strain-based equations, respectively. The fatigue damage of joint is calculated using abaqus cycle by cycle. The fatigue lives of double-lap bolted joints with and without clamping force at different levels of hole cold expansion are all obtained. The characteristics of fatigue damage corresponding to the different conditions are presented to unfold the influencing mechanism of these two factors. The predicted fatigue lives and crack initiation locations are in good agreement with the experimental results available in the literature. The beneficial effects of hole cold expansion and bolt clamping force on the fatigue behavior of bolted joint are presented in this work.
FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

1
Oskouei, R. H. , and Ibrahim, R. N. , 2012, “ Improving Fretting Fatigue Behaviour of Al 7075-T6 Bolted Plates Using Electroless Ni-P Coatings,” Int. J. Fatigue, 44, pp. 157–167. [CrossRef]
2
Chakherlou, T. N. , Razavi, M. J. , Aghdam, A. B. , and Abazadeh, B. , 2011, “ An Experimental Investigation of the Bolt Clamping Force and Friction Effect on the Fatigue Behavior of Aluminum Alloy 2024-T3 Double Shear Lap Joint,” Mater. Des., 32(8–9), pp. 4641–4649. [CrossRef]
3
Chakherlou, T. N. , Oskouei, R. H. , and Vogwell, J. , 2008, “ Experimental and Numerical Investigation of the Effect of Clamping Force on the Fatigue Behaviour of Bolted Plates,” Eng. Failure Anal., 15(5), pp. 563–574. [CrossRef]
4
Schijve, J. , 2009, Fatigue of Structures and Materials, Springer, Berlin, Heidelberg, pp. 511–512.
5
Burlat, M. , Julien, D. , Levesque, M. , Bui-Quoc, T. , and Bernard, M. , 2008, “ Effect of Local Cold Working on the Fatigue Life of 7475-T7351 Aluminium Alloy Hole Specimens,” Eng. Fract. Mech., 75(8), pp. 2042–2061. [CrossRef]
6
Chakherlou, T. N. , Shakouri, M. , Akbari, A. , and Aghdam, A. B. , 2012, “ Effect of Cold Expansion and Bolt Clamping on Fretting Fatigue Behavior of Al 2024-T3 in Double Shear Lap Joints,” Eng. Failure Anal., 25, pp. 29–41. [CrossRef]
7
Chakherlou, T. N. , and Abazadeh, B. , 2011, “ Estimation of Fatigue Life for Plates Including Pre-Treated Fastener Holes Using Different Multiaxial Fatigue Criteria,” Int. J. Fatigue, 33(3), pp. 343–353. [CrossRef]
8
Abazadeh, B. , Chakherlou, T. N. , Farrahi, G. H. , and Alderliesten, R. C. , 2013, “ Fatigue Life Estimation of Bolt Clamped and Interference Fitted-Bolt Clamped Double Shear Lap Joints Using Multiaxial Fatigue Criteria,” Mater. Des., 43, pp. 327–336. [CrossRef]
9
Smith, R. N. , Watson, P. , and Topper, T. H. , 1970, “ A Stress-Strain Function for the Fatigue of Metal,” J. Mater., 5, pp. 767–778.
10
Glinka, G. , Shen, G. , and Plumtree, A. , 1995, “ A Multiaxial Fatigue Strain Energy Density Parameter Related to the Critical Plane,” Fatigue Fract. Eng. Mater. Struct., 18(1), pp. 37–46. [CrossRef]
11
Fatemi, A. , and Socie, D. F. , 1988, “ A Critical Plane Approach to Multiaxial Fatigue Damage Including Out-of-Phase Loading,” Fatigue Fract. Eng. Mater. Struct., 11(3), pp. 149–165. [CrossRef]
12
Kachanov, L. M. , 1958, “ On the Creep Fracture Time,” Izvestiya Akad. Nauk USSR Otd. Tech., 8, pp. 26–31 (in Russian).
13
Kachanov, L. M. , 1986, Introduction to Continuum Damage Mechanics, Martinus Nijhoff Publisher, Dordrecht, The Netherlands.
14
Lemaitre, J. , and Chaboche, J. L. , 1990, Mechanics of Solid Materials, Cambridge University Press, Cambridge, UK.
15
Lemaitre, J. , and Rodrigue, D. , 2005, Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures, Springer, Berlin, Heidelberg.
16
Voyiadjis, G. Z. , and Kattan, P. I. , 2005, Damage Mechanics, Taylor & Francis, Boca Raton, FL.
17
Voyiadjis, G. Z. , and Echle, R. , 1998, “ High Cycle Fatigue Damage Evolution in Uni-Directional Metal Matrix Composites Using a Micro-Mechanical Approach,” Mech. Mater., 30(2), pp. 91–110. [CrossRef]
18
Echle, R. , and Voyiadjis, G. Z. , 1999, “ Simulation of Damage Evolution in a Uni-Directional Titanium Matrix Composite Subjected to High Cycle Fatigue,” Int. J. Fatigue, 21(9), pp. 909–923. [CrossRef]
19
Shen, F. , Hu, W. , and Meng, Q. , 2015, “ A Damage Mechanics Approach to Fretting Fatigue Life Prediction With Consideration of Elasto-Plastic Damage Model and Wear,” Tribol. Int., 82(Part A), pp. 176–190. [CrossRef]
20
Sun, Y. , Hu, W. , Shen, F. , Meng, Q. , and Xu, Y. , 2016, “ Numerical Simulations of the Fatigue Damage Evolution at a Fastener Hole Treated by Cold Expansion or With Interference Fit Pin,” Int. J. Mech. Sci., 107, pp. 188–200. [CrossRef]
21
Tang, H. , and Basaran, C. , 2003, “ A Damage Mechanics Based Fatigue Life Prediction Model,” ASME J. Electron. Packag., 125(1), pp. 120–125. [CrossRef]
22
Basaran, C. , and Nie, S. , 2004, “ An Irreversible Thermodynamic Theory for Damage Mechanics of Solids,” Int. J. Damage Mech., 13(3), pp. 205–224. [CrossRef]
23
Basaran, C. , and Yan, C. Y. , 1998, “ A Thermodynamic Framework for Damage Mechanics of Solder Joints,” ASME J. Electron. Packag., 120(4), pp. 379–384. [CrossRef]
24
Basaran, C. , and Tang, H. , 2002, “ Implementation of a Thermodynamic Framework for Damage Mechanics of Solder Interconnects in Microelectronic Packaging,” Int. J. Damage Mech., 11(1), pp. 87–108. [CrossRef]
25
Gomez, J. , and Basaran, C. , 2005, “ A Thermodynamics Based Damage Mechanics Constitutive Model for Low Cycle Fatigue Analysis of Microelectronics Solder Joints Incorporating Size Effect,” Int. J. Solids Struct., 42(13), pp. 3744–3772. [CrossRef]
26
Voyiadjis, G. Z. , and Abu Al-Rub, R. K. , 2003, “ Thermodynamic Based Model for the Evolution Equation of the Backstress in Cyclic Plasticity,” Int. J. Plast., 19(12), pp. 2121–2147. [CrossRef]
27
Voyiadjis, G. Z. , and Basuroychowdhury, I. N. , 1998, “ A Plasticity Model for Multiaxial Cyclic Loading and Ratchetting,” Acta Mech., 126(1), pp. 19–35. [CrossRef]
28
Basuroychowdhury, I. N. , and Voyiadjis, G. Z. , 1998, “ A Multiaxial Cyclic Plasticity Model for Non-Proportional Loading Cases,” Int. J. Plast., 14(9), pp. 855–870. [CrossRef]
29
Kang, G. , Liu, Y. , Ding, J. , and Gao, Q. , 2009, “ Uniaxial Ratcheting and Fatigue Failure of Tempered 42CrMo Steel: Damage Evolution and Damage-Coupled Visco-Plastic Constitutive Model,” Int. J. Plast., 25(5), pp. 838–860. [CrossRef]
30
Lemaitre, J. , 1985, “ A Continuous Damage Mechanics Model for Ductile Fracture,” ASME J. Eng. Mater. Technol., 107(1), pp. 83–89. [CrossRef]
31
Chakherlou, T. N. , Shakouri, M. , Aghdam, A. B. , and Akbari, A. , 2012, “ Effect of Cold Expansion on the Fatigue Life of Al 2024-T3 in Double Shear Lap Joints: Experimental and Numerical Investigations,” Mater. Des., 33, pp. 185–196. [CrossRef]
32
Mohammadpour, A. , and Chakherlou, T. N. , 2016, “ Numerical and Experimental Study of an Interference Fitted Joint Using a Large Deformation Chaboche Type Combined Isotropic-Kinematic Hardening Law and Mortar Contact Method,” Int. J. Mech. Sci., 106, pp. 297–318. [CrossRef]
33
Chow, C. L. , and Wang, J. , 1987, “ An Anisotropic Theory of Continuum Damage Mechanics for Ductile Fracture,” Eng. Fract. Mech., 27(5), pp. 547–558. [CrossRef]
34
Chr, B. , and Seeger, T. , 1987, Material Data for Cyclic Loading—Part D: Aluminium and Titanium Alloys, Elsevier Science Publishers, Amsterdam, The Netherlands.
35
Zhang, T. , McHugh, P. E. , and Leen, S. B. , 2012, “ Finite Element Implementation of Multiaxial Continuum Damage Mechanics for Plain and Fretting Fatigue,” Int. J. Fatigue, 44, pp. 260–272. [CrossRef]
36
Chakherlou, T. N. , Razavi, M. J. , and Abazadeh, B. , 2013, “ Finite Element Investigations of Bolt Clamping Force and Friction Coefficient Effect on the Fatigue Behavior of Aluminum Alloy 2024-T3 in Double Shear Lap Joint,” Eng. Failure Anal., 29, pp. 62–74. [CrossRef]
37
Ferjaoui, A. , Yue, T. , Abdel Wahab, M. , and Hojjati-Talemi, R. , 2015, “ Prediction of Fretting Fatigue Crack Initiation in Double Lap Bolted Joint Using Continuum Damage Mechanics,” Int. J. Fatigue, 73, pp. 66–76. [CrossRef]
38
Wang, Y. Y. , and Yao, W. X. , 2004, “ Evaluation and Comparison of Several Multiaxial Fatigue Criteria,” Int. J. Fatigue, 26(1), pp. 17–25. [CrossRef]

Figures

Grahic Jump Location
Fig. 2

Fatigue life comparison between the integrated NLCD and SWT model

+Fatigue life comparison between the integrated NLCD and SWT model
View Large  |  Save Figure  |  Download Slide (.ppt)
Fatigue life comparison between the integrated NLCD and SWT model
Grahic Jump Location
Fig. 1

Stress-strain curve for Al alloy 2024-T3

+Stress-strain curve for Al alloy 2024-T3
View Large  |  Save Figure  |  Download Slide (.ppt)
Stress-strain curve for Al alloy 2024-T3
Grahic Jump Location
Fig. 3

(a) Dimensions of assembled bolted joint specimens [36], and tapered pins used for hole cold expansion of (b) 1.5% and (c) 4.7% [31]

+(a) Dimensions of assembled bolted joint specimens [36], and tapered pins used for hole cold expansion of (b) 1.5% and (c) 4.7% [31]
View Large  |  Save Figure  |  Download Slide (.ppt)
(a) Dimensions of assembled bolted joint specimens [36], and tapered pins used for hole cold expansion of (b) 1.5% and (c) 4.7% [31]
Grahic Jump Location
Fig. 4

Finite element model of the bolted joint specimen

+Finite element model of the bolted joint specimen
View Large  |  Save Figure  |  Download Slide (.ppt)
Finite element model of the bolted joint specimen
Grahic Jump Location
Fig. 5

Simplified algorithm of the numerical simulation

+Simplified algorithm of the numerical simulation
View Large  |  Save Figure  |  Download Slide (.ppt)
Simplified algorithm of the numerical simulation
Grahic Jump Location
Fig. 10

Predicted and experimental fatigue lives versus tightening torque for the bolted joints with hole cold expansion level of (a) 0% and (b) 1.5%

+Predicted and experimental fatigue lives versus tightening torque for the bolted joints with hole cold expansion level of (a) 0% and (b) 1.5%
View Large  |  Save Figure  |  Download Slide (.ppt)
Predicted and experimental fatigue lives versus tightening torque for the bolted joints with hole cold expansion level of (a) 0% and (b) 1.5%
Grahic Jump Location
Fig. 9

Predicted and experimental fatigue lives versus hole cold expansion level for bolted joint clamped with (a) 0 N·m and (b) 4 N·m

+Predicted and experimental fatigue lives versus hole cold expansion level for bolted joint clamped with (a) 0 N·m and (b) 4 N·m
View Large  |  Save Figure  |  Download Slide (.ppt)
Predicted and experimental fatigue lives versus hole cold expansion level for bolted joint clamped with (a) 0 N·m and (b) 4 N·m
Grahic Jump Location
Fig. 11

Longitudinal stresses σX at the critical location for different bolted joints clamped with tightening torques of (a) 0 N·m and (b) 4 N·m

+Longitudinal stresses σX at the critical location for different bolted joints clamped with tightening torques of (a) 0 N·m and (b) 4 N·m
View Large  |  Save Figure  |  Download Slide (.ppt)
Longitudinal stresses σX at the critical location for different bolted joints clamped with tightening torques of (a) 0 N·m and (b) 4 N·m
Grahic Jump Location
Fig. 12

Stress-strain curve of integration points at crack nucleation location for different bolted joints: (a) 0% and 0 N·m, (b) 1.5% and 0 N·m, (c) 4.7% and 0 N·m, (d) 0% and 4 N·m, (e) 1.5% and 4 N·m, and (f) 4.7% and 4 N·m

+Stress-strain curve of integration points at crack nucleation location for different bolted joints: (a) 0% and 0 N·m, (b) 1.5% and 0 N·m, (c) 4.7% and 0 N·m, (d) 0% and 4 N·m, (e) 1.5% and 4 N·m, and (f) 4.7% and 4 N·m
View Large  |  Save Figure  |  Download Slide (.ppt)
Stress-strain curve of integration points at crack nucleation location for different bolted joints: (a) 0% and 0 N·m, (b) 1.5% and 0 N·m, (c) 4.7% and 0 N·m, (d) 0% and 4 N·m, (e) 1.5% and 4 N·m, and (f) 4.7% and 4 N·m
Grahic Jump Location
Fig. 6

The predicted fatigue lives calculated by (a) proposed approach and (b) SWT method versus the experimental results[6]

+The predicted fatigue lives calculated by (a) proposed approach and (b) SWT method versus the experimental results[6]
View Large  |  Save Figure  |  Download Slide (.ppt)
The predicted fatigue lives calculated by (a) proposed approach and (b) SWT method versus the experimental results[6]
Grahic Jump Location
Fig. 7

Predicted damage field and fatigue crack nucleation locations for different bolted joints

+Predicted damage field and fatigue crack nucleation locations for different bolted joints
View Large  |  Save Figure  |  Download Slide (.ppt)
Predicted damage field and fatigue crack nucleation locations for different bolted joints
Grahic Jump Location
Fig. 8

Experimental fatigue crack nucleation location for different bolted joints [6]

+Experimental fatigue crack nucleation location for different bolted joints [6]
View Large  |  Save Figure  |  Download Slide (.ppt)
Experimental fatigue crack nucleation location for different bolted joints [6]

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Understanding the Problem
Design and Application of the Worm Gear> Chapter 12
Analysis of Components in VIII-2
Guidebook for the Design of ASME Section VIII Pressure Vessels, Third Edition> Chapter 8
Start-Up, Shutdown, and Lay-Up
Consensus on Pre-Commissioning Stages for Cogeneration and Combined Cycle Power Plants
Fatigue Analysis in the Connecting Rod of MF285 Tractor by Finite Element Method
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
Background InformatIon
Guidebook for the Design of ASME Section VIII Pressure Vessels> Chapter 1
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
This site uses cookies. By continuing to use our website, you are agreeing to our privacy policy. | Accept
Sign In