Skip to main content
SpringerLink
Log in

Damage modelling of adhesively bonded joints

  • Original Article
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

A cohesive zone model (CZM) has been used in conjunction with both elastic and elasto– plastic continuum behaviour to predict the response of a mixed mode flexure and three different lap shear joints, all manufactured with the same adhesive. It was found that, for a specific dissipated CZM energy (Γ0) there was a range of CZM tripping tractions (σu) that gave a fairly constant failure load. A value of σu below this range gave rise to global damage throughout the bonded region before any crack propagation initiated. A value above this range gave rise to a discontinuous process zone, which resulted in failure loads that were strongly dependent on σu. A discontinuous process zone gives rise to mesh dependent results. The CZM parameters used in the predictions were determined from the experimental fracture mechanics specimen test data. When damage initiated, a deviation from the linear load–displacement curve was observed. The value for σ uwas determined by identifying the magnitude that gave rise to the experimentally observed deviation. The CZM energy (Γ 0) was then obtained by correlating the simulated load-crack length response with corresponding experimental data. The R-curve behaviour seen with increasing crack length was successfully simulated when adhesive plasticity was included in the constitutive model of the adhesive layer. This was also seen to enhance the prediction of the lap shear specimens. Excellent correlation was found between the experimental and predicted joint strengths.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • ABAQUS 6.3/Standard User’s Manual 24.2.9. Hibitt, Karlsson & Sorensen Inc.

  • ABAQUS 6.3/Explicit User’s Manual 16.2.1. Hibitt, & Sorensen Inc.

  • ABAQUS 6.3 Standard User’s Manual 11.3.1. Hibitt, Karlsson & Sorensen Inc.

  • ABAQUS 6.3/Explicit User’s Manual 10.3.1. Hibitt, & Sorensen Inc.

  • RD Adams RW Atkins JA Harris AJ Kinloch (1988) ArticleTitleStress-analysis and failure properties of carbon-fibre-reinforced-plastic steel double lap joints J Adhes 20 29–33

    Google Scholar 

  • RD Adams JA Harris (1987) ArticleTitleThe influence of local geometry on the strength of adhesively bonded joints Int J Adhes Adhes 7 IssueID2 69–80 Occurrence Handle10.1016/0143-7496(87)90092-3

    Article  Google Scholar 

  • RD Adams NA Peppiat (1974) ArticleTitleStress analysis of adhesively-bonded lap joints J Strain Anal 9 IssueID3 185–196

    Google Scholar 

  • AR Akisanya CS Meng (2003) ArticleTitleInitiation of fracture at the interface corner of biomaterial joints J Mech Phys Solids 51 27–46 Occurrence Handle01929462 Occurrence Handle10.1016/S0022-5096(02)00076-5

    Article  MATH  Google Scholar 

  • T Andersen U Stigh (2004) ArticleTitleThe stress-elongation relation for an adhesive layer loaded in peel using equilibrium of energetic forces Int J Solids Struct 41 413–434 Occurrence Handle10.1016/j.ijsolstr.2003.09.039

    Article  Google Scholar 

  • SR Chowdury R Narasimhan (2000) ArticleTitleA finite element analysis of quasistatic crack growth in a pressure sensitive constrained ductile layer Eng Frac Mech 66 551–571 Occurrence Handle10.1016/S0013-7944(00)00033-3

    Article  Google Scholar 

  • AD Crocombe RD Adams (1982) ArticleTitleAn elastoplastic investigation of the peel test J Adhes 13 IssueID3–4 241–267

    Google Scholar 

  • Krueger R, Paris IL, O’Brien TK, Minguet PJ (2001) Fatigue life methodology for bonded composite skin/stringer configurations, NASA / TM-2001–210842 ARL-TR-2432, National Aeronautics and Space Administration, Langely Research Center, Hampton, Virginia

  • H Li N Chandra (2003) ArticleTitleAnalysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models Int J Plast 19 849–882 Occurrence Handle01901759 Occurrence Handle10.1016/S0749-6419(02)00008-6

    Article  MATH  Google Scholar 

  • S Li MD Thouless AM Waas JA Schroeder PD Zavattieri (2005a) ArticleTitleMode-I cohesive-zone models for fracture of an adhesively bonded polymer-matrix composite Comp Sci Technol 65 IssueID2 281–293 Occurrence Handle10.1016/j.compscitech.2004.07.009

    Article  Google Scholar 

  • S Li MD Thouless AM Waas JA Schroeder PD Zavattieri (2005) ArticleTitleUse of cohesive-zone models to analyze fracture of a fiber-reinforced polymer-matrix composite Comp Sci Technol 65 IssueID3–4 537–549 Occurrence Handle10.1016/j.compscitech.2004.08.004

    Article  Google Scholar 

  • WK Loh AD Crocombe MA Wahab IA Ashcroft (2003) ArticleTitleModelling interfacial degradation using interfacial rupture elements J Adhes 79 IssueID12 1135–1160

    Google Scholar 

  • WK Loh AD Crocombe MM Abdel Wahab IA Ashcroft (2005) ArticleTitleModelling anomalous moisture uptake, swelling and thermal characteristics of a rubber toughened epoxy adhesive Int J Adhes Adhes 25 1–12 Occurrence Handle10.1016/j.ijadhadh.2004.02.002

    Article  Google Scholar 

  • KS Madhusudhana R Narasimhan (2002) ArticleTitleExperimental and numerical investigations of mixed mode crack resistance of ductile adhesive joint Eng Frac Mech 69 865–885 Occurrence Handle10.1016/S0013-7944(01)00110-2

    Article  Google Scholar 

  • T Schön T Nyman A Blom H Ansell (2000) ArticleTitleA numerical and experimental investigation of delamination behaviour in a DCB specimen Comp Sci Techno 60 IssueID2 173–184 Occurrence Handle10.1016/S0266-3538(99)00113-X

    Article  Google Scholar 

  • A Shirani KM Liechti (1998) ArticleTitleA calibrated fracture process zone model for thin film blistering Int J Frac 93 281–314 Occurrence Handle10.1023/A:1007548519223

    Article  Google Scholar 

  • BF Sorensen TK Jacobsen (2003) ArticleTitleDetermination of cohesive laws by the J-Integral approach Eng Frac Mech 70 1842–1858 Occurrence Handle10.1016/S0013-7944(03)00127-9

    Article  Google Scholar 

  • V Tvergaard JW Hutchinson (1992) ArticleTitleThe relation between crack growth resistance and fracture process parameters in elastic-plastic solids J Mech Phys Solids 40 IssueID6 1377–1397 Occurrence Handle0775.73218 Occurrence Handle10.1016/0022-5096(92)90020-3

    Article  MATH  Google Scholar 

  • V Tvergaard JW Hutchinson (1993) ArticleTitleThe influence of plasticity on mixed mode interface toughness J Mech Phys Solids 41 IssueID6 1119–1135 Occurrence Handle0775.73219 Occurrence Handle10.1016/0022-5096(93)90057-M

    Article  MATH  Google Scholar 

  • V Tvergaard JW Hutchinson (1996) ArticleTitleOn toughness of ductile adhesive joints J Mech Phys Solids 44 IssueID5 789–800 Occurrence Handle10.1016/0022-5096(96)00011-7

    Article  Google Scholar 

  • V Tvergaard (2001) ArticleTitleResistance growth of mixed mode interface crack growth between dissimilar elastic-plastic solids J Mech Phys Solids 49 IssueID11 2689–2703 Occurrence Handle0991.74062 Occurrence Handle10.1016/S0022-5096(01)00074-6

    Article  MATH  Google Scholar 

  • D Xie AM Waas KW Shahwan JA Schroeder R G Boeman (2005) ArticleTitleFracture criterion for kinking cracks in a tri-material adhesively bonded joint under mixed mode loading Eng Frac Mech 72 2487–2504 Occurrence Handle10.1016/j.engfracmech.2005.03.008

    Article  Google Scholar 

  • QD Yang MD Thouless SM Ward (2001) ArticleTitleElastic-plastic mode-II fracture of adhesive joints Int J Solids Struct 38 3251–3262 Occurrence Handle1012.74545 Occurrence Handle10.1016/S0020-7683(00)00221-3

    Article  MATH  Google Scholar 

  • CH Wang P Chalkley (2000) ArticleTitlePlastic yielding of a film adhesive under multiaxial stresses Int J Adhes Adhes 20 IssueID2 155–164 Occurrence Handle0970.93034 Occurrence Handle10.1016/S0143-7496(99)00033-0

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Engineering, University of Surrey, Guildford, GU2 7XH, UK

    C. D. M. Liljedahl, A. D. Crocombe & M. A. Wahab

  2. Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, LE11 3TU, UK

    I. A. Ashcroft

Authors
  1. C. D. M. Liljedahl
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. D. Crocombe
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. A. Wahab
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. A. Ashcroft
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. D. Crocombe.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liljedahl, C.D.M., Crocombe, A.D., Wahab, M.A. et al. Damage modelling of adhesively bonded joints. Int J Fract 141, 147–161 (2006). https://doi.org/10.1007/s10704-006-0072-9

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-006-0072-9

Keywords

Search

Navigation