Abstract
Effects of temperature and strain rate on the cohesive relation for an engineering epoxy adhesive are studied experimentally. Two parameters of the cohesive laws are given special attention: the fracture energy and the peak stress. Temperature experiments are performed in peel mode using the double cantilever beam specimen. The temperature varies from −40 to + 80°C. The temperature experiments show monotonically decreasing peak stress with increasing temperature from about 50 MPa at −40°C to about 10 MPa at + 80°C. The fracture energy is shown to be relatively insensitive to the variation in temperature. Strain rate experiments are performed in peel mode using the double cantilever beam specimen and in shear mode, using the end notch flexure specimen. The strain rates vary; for peel loading from about 10−4 to 10 s−1 and for shear loading from 10−3 to 1 s−1. In the peel mode, the fracture energy increases slightly with increasing strain rate; in shear mode, the fracture energy decreases. The peak stresses in the peel and shear mode both increase with increasing strain rate. In peel mode, only minor effects of plasticity are expected while in shear mode, the adhesive experiences large dissipation through plasticity. Rate dependent plasticity, may explain the differences in influence of strain rate on fracture energy between the peel mode and the shear mode.
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References
Alfredsson KS (2004) On the instantaneous energy release rate of the end-notch flexure adhesive joint specimen. Int J Solids Struct 41: 4787–4807. doi:10.1016/j.ijsolstr.2004.03.008
Alfredsson KS, Biel A, Leffler K (2003) An experimental method to determine the complete stress-deformation relation for a structural adhesive layer loaded in shear. In: Proceedings of the 9th international conference on the mechanical behaviour of materials, Geneva, Switzerland, 2002
Andersson T, Biel A (2006) On the effective constitutive properties of a thin adhesive layer loaded in peel. Int J Fract 141: 227–246. doi:10.1007/s10704-006-0075-6
Andersson T, Stigh U (2004) The stress-elongation relation for an adhesive layer loaded in modus I using equilibrium of energetic forces. Int J Solids Struct 41: 413–434. doi:10.1016/j.ijsolstr.2003.09.039
Ashcroft IA, Hughes DJ, Shaw SJ (2001) Mode I fracture of epoxy bonded composites joints: 1. Quasi-static loading. Int J Adhes Adhesives 21: 87–99. doi:10.1016/S0143-7496(00)00038-5
Bascom WD, Cottington RL (1976) Effect of temperature on the adhesive fracture behaviour of an elastomer-epoxy resin. J Adhes 7: 333–346. doi:10.1080/00218467608075063
Biel A (2008) Cohesive laws for adhesives at repeated loading—an experimental method (in preparation)
Biel A, Carlberger T (2007) Influence of temperature on cohesive parameters for adhesives. In: Sørensen BF, Mikelsen LP, Lilholt H, Goutianos S, Abdul-Mahdi FS (eds) Procceedings of 28th Risø international symposium on materials science
Biel A, Stigh U (2007) An analysis of the evaluation of the fracture energy using the DCB-specimen. Arch Mech 59: 311–327
Biel A, Stigh U (2008) Effects of constitutive parameters on the accuracy of measured fracture energy using the DCB-specimen. Eng Fract Mech 75: 2968–2983. doi:10.1016/j.engfracmech.2008.01.002
Blackman BRK, Kinloch AJ, Taylor AC, Wang Y (2000) The impact wedge-peel performance of structural adhesives. J Mater Sci 35: 1867–1884. doi:10.1023/A:1004793730352
Blackman BRK, Hadavinia H, Kinloch AJ, Williams JG (2003) The use of a cohesive zone model to study the fracture of fibre composites and adhesively-bonded joints. Int J Fract 119: 25–46. doi:10.1023/A:1023998013255
Carlberger T, Stigh U (2007) An explicit FE-model of impact fracture in an adhesive joint. Eng Fract Mech 74: 2247–2262. doi:10.1016/j.engfracmech.2006.10.016
Chai H (2004) The effects of bond thickness, rate and temperature on the deformation and fracture of structural adhesives under shear loading. Int J Fract 130: 497–515. doi:10.1023/B:FRAC.0000049504.51847.2a
Guo C, Sun CT (1998) Dynamic mode-I crack-propagation in a carbon/epoxy composite. Compos Sci Technol 58: 1405–1410. doi:10.1016/S0266-3538(98)00025-6
Högberg JL, Sørensen BF, Stigh U (2007) Constitutive behaviour of mixed mode loaded adhesive layer. Int J Solids Struct 44: 8335–8354. doi:10.1016/j.ijsolstr.2007.06.014
Kinloch AJ (1987) Adhesion and adhesives—science and technology. Chapman and Hall, London
Kinloch AJ, Shaw SJ (1981) The fracture resistance of a toughened epoxy adhesive. J Adhes 12: 59–77. doi:10.1080/00218468108071189
Kusaka T, Hojo M, Mai Y, Kurokawa T, Nojima T, Ochiai S (1998) Rate dependence of mode-I fracture behaviour in carbon-fibre/epoxy composite laminates. Compos Sci Technol 58: 591–602. doi:10.1016/S0266-3538(97)00176-0
Leffler K, Alfredsson KS, Stigh U (2007) Shear behaviour of adhesive layers. Int J Solids Struct 44: 530–545. doi:10.1016/j.ijsolstr.2006.04.036
Lutz A, Schneider D (2006) Toughened epoxy adhesive composition. USPTO Applicaton #: 20060276601—Class: 525528000 (USPTO), Dow Chemical Company—Midland, MI, USA
Olsson P, Stigh U (1989) On the determination of the constitutive properties of the interphase layers—an exact solution. Int J Fract 41: 71–76. doi:10.1007/BF00018870
Salomonsson K, Andersson T (2008) Modeling and parameter calibration of an adhesive layer at the meso level. Mech Mater 40: 48–65. doi:10.1016/j.mechmat.2007.06.004
Salomonsson K, Stigh U (2008) An adhesive interphase element for structural analyses. Int J Numer Methods Eng (To appear). doi:10.1002/nme.2333
Schmidt P (2007) Computational models of adhesively bonded joints. PhD thesis, Linköping University
Sørensen BF (2002) Cohesive law and notch sensitivity of adhesive joints. Acta Mater 50: 1053–1061. doi:10.1016/S1359-6454(01)00404-9
Sørensen BF, Jørgensen K, Jacobsen TK, Østergaard RC (2006) DCB-specimen loaded with uneven bending moments. Int J Fract 141: 163–176. doi:10.1007/s10704-006-0071-x
Stigh U (1988) Damage and crack growth analysis of the double cantilever beam specimen. Int J Fract 37: R13–R18. doi:10.1007/BF00017826
Stigh U, Andersson T (2000) An experimental method to determine the complete stress-elongation relation for a structural adhesive layer loaded in peel. In: Williams JG, Pavan A (eds) Fracture of polymers, composites and adhesives. ESIS publication 27.. Elsevier, Amsterdam, pp 297–306
Suo Z, Bao G, Fan B (1992) Delamination R-curve phenomena due to damage. J Mech Phys Solids 40: 1–16. doi:10.1016/0022-5096(92)90198-B
Tamuzs V, Tarasovs S, Vilks U (2003) Delamination properties of translaminar-reinforced composites. Compos Sci Technol 63: 1423–1431. doi:10.1016/S0266-3538(03)00042-3
Yang QD, Thouless MD (2001) Mixed-mode fracture analyses of plastically deforming adhesive joints. Int J Fract 110: 175–187. doi:10.1023/A:1010869706996
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Carlberger, T., Biel, A. & Stigh, U. Influence of temperature and strain rate on cohesive properties of a structural epoxy adhesive. Int J Fract 155, 155–166 (2009). https://doi.org/10.1007/s10704-009-9337-4
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DOI: https://doi.org/10.1007/s10704-009-9337-4