On the bondline thickness effect in mixed-mode fracture characterisation of an epoxy adhesive

References

• Da Silva, L. F. M.; Öchsner, A.; Adams, R. D. Handbook of Adhesion Technology, 2nd ed.; Heidelberg, Springer Science & Business Media, 2018.
   Google Scholar
• Da Silva, L. F.; Dillard, D. A.; Blackman, B.; Adams, R. D. Testing Adhesive Joints: Best Practices; Weinheim, John Wiley & Sons, 2012.
   Google Scholar
• Chaves, F. J. P.; Da Silva, L. F. M.; de Moura, M. F. S. F.; Dillard, D. A.; Esteves, V. H. C. Fracture Mechanics Tests in Adhesively Bonded Joints: A Literature Review. J. Adhes. 2014, 90(12), 955–992. DOI: 10.1080/00218464.2013.859075.
   Web of Science ®Google Scholar
• Adams, R.; Coppendale, J. Measurement of the Elastic Moduli of Structural Adhesives by a Resonant Bar Technique. J. Mech. Eng. Sci. 1976, 18(3), 149–158. DOI: 10.1243/JMES_JOUR_1976_018_025_02.
   Google Scholar
• Dolev, G.; Ishai, O. Mechanical Characterization of Adhesive Layer In-situ and as Bulk Material. J. Adhes. 1981, 12(4), 283–294. DOI: 10.1080/00218468108071207.
   Web of Science ®Google Scholar
• Lilleheden, L.;. Mechanical Properties of Adhesives in Situ and in Bulk. Int. J. Adhes. Adhes. 1994, 14(1), 31–37. DOI: 10.1016/0143-7496(94)90018-3.
   Web of Science ®Google Scholar
• Jeandrau, J.;. Intrinsic Mechanical Characterization of Structural Adhesives. Int. J. Adhes. Adhes. 1986, 6(4), 229–231. DOI: 10.1016/0143-7496(86)90011-4.
   Google Scholar
• Peretz, D.;. Shear Stress-strain Characteristics of Adhesive Layers. J. Adhes. 1978, 9(2), 115–122. DOI: 10.1080/00218467808075106.
   Web of Science ®Google Scholar
• Brinson, H.;. The Viscoelastic Constitutive Modelling of Adhesives. Composites. 1982, 13(4), 377–382. DOI: 10.1016/0010-4361(82)90146-X.
   Google Scholar
• Foulkes, H.; Shields, J.; Wake, W. The Variation of Bond Strength with Temperature: a Preliminary Study of Metal-to-metal Adhesion. J. Adhes. 1970, 2(4), 254–269. DOI: 10.1080/0021846708544599.
   Web of Science ®Google Scholar
• McCarvill, W.; Bell, J. Torsional Test Method for Adhesive Joints. J. Adhes. 1974, 6(3), 185–193. DOI: 10.1080/00218467408075025.
   Web of Science ®Google Scholar
• Tanner, W.; In Manufacturing Processes with Adhesive Bonding. Appl. Polymer Symposia. 1972.
   Google Scholar
• Bascom, W. D.; Cottington, R. L.; Jones, R. L.; Peyser, P. The Fracture of Epoxy- and Elastomer-modified Epoxy Polymers in Bulk and as Adhesives. J. Appl. Polym. Sci. 1975, 19(9), 2545–2562. DOI: 10.1002/app.1975.070190917.
   Web of Science ®Google Scholar
• Sancaktar, E.; Jozavi, H.; Baldwin, J.; Tang, J. Elastoplastic Fracture Behavior of Structural Adhesives under Monotonic Loading. J. Adhes. 1987, 23(4), 233–262. DOI: 10.1080/00218468708075409.
   Web of Science ®Google Scholar
• Kin Loch, A. J.; Shaw, S. J. The Fracture Resistance of a Toughened Epoxy Adhesive. J. Adhes. 1981, 12(1), 59–77. DOI: 10.1080/00218468108071189.
   Web of Science ®Google Scholar
• Daghyani, H. R.; Ye, L.; Mai, Y.-W. Mode-l Fracture Behaviour of Adhesive Joints. Part I. Relationship between Fracture Energy and Bond Thickness. J. Adhes. 1995, 53(3–4), 149–162. DOI: 10.1080/00218469508009935.
   Web of Science ®Google Scholar
• Daghyani, H. R.; Ye, L.; Mai, Y.-W. Mode-l Fracture Behaviour of Adhesive Joints. Part II. Stress Analysis and Constraint Parameters. J. Adhes. 1995, 53(3–4), 163–172. DOI: 10.1080/00218469508009936.
   Web of Science ®Google Scholar
• Lee, D.-B.; Ikeda, T.; Miyazaki, N.; Choi, N.-S. Effect of Bond Thickness on the Fracture Toughness of Adhesive Joints. Journal of Engineering Materials and Technology. 2004, 126(1), 14–18. DOI: 10.1115/1.1631433.
   Web of Science ®Google Scholar
• Da Silva, L. F. M.; de Magalhães, F. A. C. R. G.; Chaves, F. J. P.; de Moura, M. F. S. F. Mode II Fracture Toughness of a Brittle and a Ductile Adhesive as a Function of the Adhesive Thickness. J. Adhes. 2010, 86(9), 891–905. DOI: 10.1080/00218464.2010.506155.
   Web of Science ®Google Scholar
• Marzi, S.; Biel, A.; Stigh, U. On Experimental Methods to Investigate the Effect of Layer Thickness on the Fracture Behavior of Adhesively Bonded Joints. Int. J. Adhes. Adhes. 2011, 31(8), 840–850. DOI: 10.1016/j.ijadhadh.2011.08.004.
   Web of Science ®Google Scholar
• Campilho, R. D. S. G.; Moura, D. C.; Banea, M. D.; Da Silva, L. F. M. Adhesive Thickness Effects of a Ductile Adhesive by Optical Measurement Techniques. Int. J. Adhes. Adhes. 2015, 57, 125–132. DOI: 10.1016/j.ijadhadh.2014.12.004.
   Web of Science ®Google Scholar
• Akhavan-Safar, A.; Ayatollahi, M. R.; Moazzami, M.; Da Silva, L. F. M. The Role of T-Stress and Stress Triaxiality Combined with the Geometry on Tensile Fracture Energy of Brittle Adhesives. Int. J. Adhes. Adhes. 2018, 87, 12–21. DOI: 10.1016/j.ijadhadh.2018.09.008.
   Web of Science ®Google Scholar
• Carlberger, T.; Stigh, U. Influence of Layer Thickness on Cohesive Properties of an Epoxy-Based Adhesive—An Experimental Study. J. Adhes. 2010, 86(8), 816–835. DOI: 10.1080/00218464.2010.498718.
   Web of Science ®Google Scholar
• Banea, M. D.; Da Silva, L. F. M.; Campilho, R. D. S. G. The Effect of Adhesive Thickness on the Mechanical Behavior of a Structural Polyurethane Adhesive. J. Adhes. 2014, 91(5), 331–346. DOI: 10.1080/00218464.2014.903802.
   Web of Science ®Google Scholar
• In Effects of the Bond Line Thickness on the Fracture Mechanical Behaviour of Structural Adhesive Joints. Adhesion Society 37th Annual Meeting, San Diego, CA, Adhesion Society, February 23–26, 2014.
   Google Scholar
• Khoo, T. T.; Kim, H. Effect of Bondline Thickness on Mixed-Mode Fracture of Adhesively Bonded Joints. J. Adhes. 2011, 87(10), 989–1019. DOI: 10.1080/00218464.2011.600668.
   Web of Science ®Google Scholar
• Reza Daghyani, H.; Ye, L.; Mai, Y.-W. Evaluation of Mode-II Fracture Energy of Adhesive Joints with Different Bond Thickness. J. Adhes. 1996, 56(1–4), 171–186. DOI: 10.1080/00218469608010506.
   Web of Science ®Google Scholar
• Crocombe, A.; Adams, R. D. Influence of the Spew Fillet and Other Parameters on the Stress Distribution in the Single Lap Joint. J. Adhes. 1981, 13(2), 141–155. DOI: 10.1080/00218468108073182.
   Web of Science ®Google Scholar
• Li, G.; Lee-Sullivan, P.; Thring, R. W. Nonlinear Finite Element Analysis of Stress and Strain Distributions across the Adhesive Thickness in Composite Single-lap Joints. Compos. Struct. 1999, 46(4), 395–403. DOI: 10.1016/S0263-8223(99)00106-3.
   Web of Science ®Google Scholar
• Da Silva, L. F. M.; Rodrigues, T. N. S. S.; Figueiredo, M. A. V.; de Moura, M. F. S. F.; Chousal, J. A. G. Effect of Adhesive Type and Thickness on the Lap Shear Strength. J. Adhes. 2006, 82(11), 1091–1115. DOI: 10.1080/00218460600948511.
   Web of Science ®Google Scholar
• Liao, L.; Huang, C.; Sawa, T. Effect of Adhesive Thickness, Adhesive Type and Scarf Angle on the Mechanical Properties of Scarf Adhesive Joints. Int. J. Solid Struct. 2013, 50(25), 4333–4340. DOI: 10.1016/j.ijsolstr.2013.09.005.
   Web of Science ®Google Scholar
• Talemi, R.; Chhith, S.; De Waele, W. Experimental and Numerical Study on Effect of Forming Process on Low‐cycle Fatigue Behaviour of High‐strength Steel. Fatigue Fract. Eng. Mater. Struct. 2017, 40(12), 2050–2067. DOI: 10.1111/ffe.12625.
   Web of Science ®Google Scholar
• International, A. ASTM D638-14, Standard Test Method for Tensile Properties of Plastics; ASTM International, 2015.
   Google Scholar
• Marques, E. A. S.; Da Silva, L. F. M. Joint Strength Optimization of Adhesively Bonded Patches. J. Adhes. 2008, 84(11), 915–934. DOI: 10.1080/00218460802505275.
   Web of Science ®Google Scholar
• ASTMD5528. Standard Test Method for Mode I Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites, 2013.
   Google Scholar
• ASTMD6671. MMB-Standard Test Method for Mixed Mode I-Mode II Interlaminar Fracture Toughness of Unidirectional Fiber Reinforced Polymer Matrix Composites, 2013.
   Google Scholar
• Dharmawan, F.; Simpson, G.; Herszberg, I.; John, S. Mixed Mode Fracture Toughness of GFRP Composites. Compos. Struct. 2006, 75(1), 328–338. DOI: 10.1016/j.compstruct.2006.04.020.
   Web of Science ®Google Scholar
• de Morais, A. B.; Pereira, A. B.; de Moura, M. F. S. F.; Silva, F. G. A.; Dourado, N. Bilinear Approximations to the Mixed-mode I–II Delamination Cohesive Law Using an Inverse Method. Compos. Struct. 2015, 122, 361–366. DOI: 10.1016/j.compstruct.2014.11.058.
   Web of Science ®Google Scholar
• de Moura, M. F. S. F.; Gonçalves, J. P. M.; Magalhães, A. G. A Straightforward Method to Obtain the Cohesive Laws of Bonded Joints under Mode I Loading. Int. J. Adhes. Adhes. 2012, 39, 54–59. DOI: 10.1016/j.ijadhadh.2012.07.008.
   Web of Science ®Google Scholar
• Khoramishad, H.; Hamzenejad, M.; Ashofteh, R. S. Characterizing Mixed-mode Cohesive Zone Model Using a Mixed-mode Direct Method. Eng. Fract. Mech. 2016, 153, 175–189. DOI: 10.1016/j.engfracmech.2015.10.045.
   Web of Science ®Google Scholar
• Stamoulis, G.; Carrere, N.; Cognard, J. Y.; Davies, P.; Badulescu, C. On the Experimental Mixed-mode Failure of Adhesively Bonded Metallic Joints. Int. J. Adhes. Adhes. 2014, 51, 148–158. DOI: 10.1016/j.ijadhadh.2014.03.002.
   Web of Science ®Google Scholar
• Sadeghi, M. Z.; Zimmermann, J.; Gabener, A.; Schroeder, K. U. The Applicability of J-integral Approach in the Determination of Mixed-mode Fracture Energy in a Ductile Adhesive. Int. J. Adhes. Adhes. 2018, 83, 2–8. DOI: 10.1016/j.ijadhadh.2018.02.027.
   Web of Science ®Google Scholar
• Reeder, J. R.; Crews, J. Redesign of the Mixed-mode Bending Delamination Test to Reduce Nonlinear Effects. J. Compos. Tech. Res. 1992, 14(1), 12–19. DOI: 10.1520/CTR10078J.
   Google Scholar
• Rice, J. R.;. A path independent integral and the approximate analysis of strain concentration by notchesand cracks. J. Appl. Mech. 1968, 35(2), 379–386.
   Google Scholar
• Anthony, J.; Paris, P. C. Instantaneous Evaluation of J and C. Int. J. Fract. 1988, 38, 19–21.
   Web of Science ®Google Scholar
• Sarrado, C.; Turon, A.; Renart, J.; Costa, J. An Experimental Data Reduction Method for the Mixed Mode Bending Test Based on the J-integral Approach. Compos. Sci. Technol. 2015, 117, 85–91. DOI: 10.1016/j.compscitech.2015.05.021.
   Web of Science ®Google Scholar
• Reeder, J.; Rews., J. H. C. Mixed-mode Bending Method for Delamination Testing. Aiaa J. 1990, 28, 1270–1276. DOI: 10.2514/3.25204.
   Google Scholar
• Zhao, Y.; Seah, L. K.; Chai, G. B. Measurement of Interlaminar Fracture Properties of Composites Using the J-integral Method. J. Reinf. Plast. Compos. 2016, 35(14), 1143–1154. DOI: 10.1177/0731684416642031.
   Web of Science ®Google Scholar
• Bascom, W. D.; Cottington, R. L. Effect of Temperature on the Adhesive Fracture Behavior of an Elastomer-Epoxy Resin. J. Adhes. 1976, 7(4), 333–346. DOI: 10.1080/00218467608075063.
   Web of Science ®Google Scholar
• Lee, D.-B.; Ikeda, T.; Miyazaki, N.; Choi, N.-S. Damage Zone around Crack Tip and Fracture Toughness of Rubber-modified Epoxy Resin under Mixed-mode Conditions. Eng. Fract. Mech. 2002, 69(12), 1363–1375. DOI: 10.1016/S0013-7944(01)00151-5.
   Web of Science ®Google Scholar
• Stein, N.; Rosendahl, P. L.; Becker, W. Modelling Load Transfer and Mixed-mode Fracture of Ductile Adhesive Composite Joints. Int. J. Adhes. Adhes. 2018, 82, 299–310. DOI: 10.1016/j.ijadhadh.2018.01.013.
   Web of Science ®Google Scholar
• Jones, R. M.;. Deformation Theory of Plasticity; Blacksburg, Virginia, Bull Ridge Corporation, 2009.
   Google Scholar
• Crocombe, A.; Adams, R. An Elasto-plastic Investigation of the Peel Test. J. Adhes. 1982, 13(3–4), 241–267. DOI: 10.1080/00218468208073190.
   Web of Science ®Google Scholar
• Tvergaard, V.; Hutchinson, J. W. On the Toughness of Ductile Adhesive Joints. J. Mech. Phys. Solids. 1996, 44(5), 789–800. DOI: 10.1016/0022-5096(96)00011-7.
   Web of Science ®Google Scholar
• Edlund, U.; Klarbring, A. A Coupled Elastic-plastic Damage Model for Rubber-modified Epoxy Adhesives. Int. J. Solid Struct. 1993, 30(19), 2693–2708. DOI: 10.1016/0020-7683(93)90107-I.
   Web of Science ®Google Scholar
• Ji, G.; Ouyang, Z.; Li, G.; Ibekwe, S.; Pang, -S.-S. Effects of Adhesive Thickness on Global and Local Mode-I Interfacial Fracture of Bonded Joints. Int. J. Solid Struct. 2010, 47(18), 2445–2458. DOI: 10.1016/j.ijsolstr.2010.05.006.
   Web of Science ®Google Scholar
• Xavier, J.; Oliveira, M.; Morais, J. J. L.; de Moura, M. F. S. F. Determining Mode II Cohesive Law of Pinus Pinaster by Combining the End-notched Flexure Test with Digital Image Correlation. Constr. Build. Mater. 2014, 71, 109–115. DOI: 10.1016/j.conbuildmat.2014.08.021.
   Web of Science ®Google Scholar
• Boutar, Y.; Naïmi, S.; Mezlini, S.; Da Silva, L. F. M.; Ben Sik Ali, M. Characterization of Aluminium One-component Polyurethane Adhesive Joints as a Function of Bond Thickness for the Automotive Industry: Fracture Analysis and Behavior. Eng. Fract. Mech. 2017, 177, 45–60. DOI: 10.1016/j.engfracmech.2017.03.044.
   Web of Science ®Google Scholar