Abstract
This chapter presents analytical approach for determining stress and strength of adhesively bonded joints. Selected applications of adhesively bonded joints are discussed first, and then mathematical models for stress analysis of these joints are outlined. Various closed-form solutions for adhesive stresses and edge bending moment for balanced single-lap joints are presented and compared. The method for finding analytical solutions for asymmetric and unbalanced adhesive joints is also discussed. Explicit expressions for mode I and mode II energy release rates for cohesive failure and interfacial debonding are presented for asymmetric joints with a semi-infinitive length subjected to general load combinations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adams RD (1989) Strength predictions for lap joints, especially with composite adherends: a review. J Adhes 30(1–4):219–242
Adams RD, Mallick V (1992) A method for the stress analysis of lap joints. J Adhes 38(3–4):199–217
Adams RD, Comyn J, Wake WC (1997) Structural adhesive joints in engineering. Chapman and Hall, London
Allman DJ (1977) A theory for the elastic stresses in adhesive bonded lap joints. Q J Mech Appl Math 30:415–436
Bigwood DA, Crocombe AD (1989) Elastic analysis and engineering design formulae for bonded joints. Int J Adhes Adhes 9(4):229–242
Bigwood DA, Crocombe AD (1990) Nonlinear adhesive bonded joint design analyses. Int J Adhes Adhes 10(1):31–41
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(1):25–46
Bruno D, Greco F, Lonetti P (2003) A coupled interface-multilayer approach for mixed mode delamination and contact analysis in laminated composites. Int J Solids Struct 40(26):7245–7268
Carpenter W (1980) Stresses in bonded connections using finite elements. Int J Numer Methods Eng 15(11):1659–1680
Carpenter WC (1991) A comparison of numerous lap joint theories for adhesively bonded joints. J Adhes 35(1):55–73
Chen D, Cheng S (1983) An analysis of adhesive-bonded single lap joints. J Appl Mech 50(1):109–115
Delale F, Erdogan F, Aydinoglu MN (1981) Stresses in adhesively bonded joints-a closed form solution. J Compos Mater 15:249–271
Fernlund G, Spelt JK (1991) Failure load prediction of structural adhesive joints, part 1: analytical method. Int J Adhes Adhes 11(4):213–220
Fernlund G, Papini M, McCammond D, Spelt JK (1994) Fracture load predictions for adhesive joints. Compos Sci Technol 51(4):587–600
Gleich DM, Van Tooren MJL, Beukers A (2001) Analysis and evaluation of bondline thickness effects on failure load in adhesively bonded structures. J Adhes Sci Technol 15(9):1091–1101
Goland M, Reissner E (1944) The stresses in cemented joints. J Appl Mech 11:A17–A27
Grant P, Teig IC (1976) Strength and stress analysis of bonded joints, British Aircraft Corporation Ltd. Military Aircraft Division, Report No SOR PJ 109
Harris JA, Adams RD (1984) Strength prediction of bonded single lap joints by non-linear finite element methods. Int J Adhes Adhes 4(2):65–78
Hart-Smith LJ (1973) Adhesive-bonded single-lap joints, NASA Langley research Center, NASA CR-112235
Harvey CM, Wood JD, Wang S, Watson A (2014) A novel method for the partition of mixed-mode fractures in 2D elastic laminated unidirectional composite beams. Compos Struct 116:589–594
Huang H, Yang CD, Tomblin JS, Harter P (2002) Stress and failure analyses of adhesive-bonded composite joints using ASTM D3165 specimens. J Compos Technol Res 24(2):93–104
Humi M, Miller W (1988) Second course in ordinary differential equations for scientists and engineers. Springer-Verlag, New York
Hutchinson JW, Suo Z (1992) Mixed mode cracking in layered materials. Adv Appl Mech 29:63–191
Jiang Z, Wan S, Zhong Z, Li M (2016) Geometrically nonlinear analysis for unbalanced adhesively bonded single-lap joint based on flexible interface theory. Arch Appl Mech 86(7):1273–1294
Johnson WS (1986) Stress analysis of the cracked lap shear specimen-an ASTM round robin, NASA Technical Memorandum 89006
Lee J, Kim H (2007) Elasto-plastic analysis of adhesively bonded symmetric single lap joints under in-plane tension and edge moments. J Adhes 83(9):837–870
Li W, Cheng G, Wang D, Wu J (2015) A mixed mode partition method for delaminated beam structure. Eng Fract Mech 148:15–26
Liljedahl CDM, Crocombe AD, Wahab MA, Ashcroft IA (2006) Damage modelling of adhesively bonded joints. Int J Fract 141(1–2):147–161
Luo Q, Tong L (2002) Exact static solutions to piezoelectric smart beams including peel stresses–I: theoretical formulation. Int J Solids Struct 39(18):4677–4695
Luo Q, Tong L (2004) Linear and higher order displacement theories for adhesive bonded lap joints. Int J Solids Struct 41(22–23):6351–6381
Luo Q, Tong L (2007) Fully-coupled nonlinear analysis of single lap adhesive joints. Int J Solids Struct 44(7–8):2349–2370
Luo Q, Tong L (2008) Analytical solutions for adhesive composite joints considering large deflection and transverse shear deformation in adherends. Int J Solids Struct 45(22–23):5914–5935
Luo Q, Tong L (2009a) Calculation of energy release rates for cohesive and interlaminar delamination based on the classical beam-adhesive model. J Compos Mater 43(4):331–348
Luo Q, Tong L (2009b) Energy release rates for interlaminar delamination in laminates considering transverse shear effects. Compos Struct 89(2):235–244
Luo Q, Tong L (2009c) Fracture prediction of adhesively bonded structures using energy release rates. J Adhes Sci Technol 23(10):1415–1440
Luo Q, Tong L (2012) Analytic formulas of energy release rates for delamination using a global–local method. Int J Solids Struct 49(23–24):3335–3344
Luo Q, Tong L (2016) Solutions for clamped adhesively bonded single lap joint with movement of support end and its application to a carbon nanotube junction in tension. J Adhes 92(5):349–379
Ojalvo IU, Eidinoff HL (1978) Bond thickness upon stresses in single-lap adhesive joints. AIAA J 16(3):204–211
Oplinger DW (1994) Effects of adherend deflection on single lap joints. Int J Solids Struct 31(18):2565–2587
Renton WJ, Vinson (1975) The efficient design of adhesive bonded joints. J Adhes 7(3):175–193
Shahin K, Kember G, Taheri F (2008) An asymptotic solution for evaluation of stresses in balanced and unbalanced adhesively bonded joints. Mech Adv Mater Struct 15(2):88–103
Sheppard A, Kelly D, Tong LY (1998) A damage zone model for the failure analysis of adhesively bonded joints. Int J Adhes Adhes 18(6):385–400
da Silva LFM, Rodrigues TNSS, Figueiredo MAV, de Moura MFSF, Chousal JAG (2006) Effect of adhesive type and thickness on the lap shear strength. J Adhes 82(11):1091–1115
da Silva LFM, das Neves PJC, Adams RD, Spelt JK (2009) Analytical models of adhesively bonded joints-part II: comparative study. Int J Adhes Adhes 29(3):331–341
Srinivas S (1975) Analysis of bonded joints, NASA TN D-7855, Apr 1975
Tong L (1996) Bond strength for adhesive-bonded single-lap joints. Acta Mech 117(1–4):101–113
Tong L, Luo Q (2008) Chapter 2 Analysis of cracked lap shear (CLS) joints. In: da LFM S, Oechsner A (eds) Modelling of adhesively bonded joints. Springer, Heidelberg
Tong L, Steven GP (1999) Analysis and design of structural bonded joints. Kluwer Academic, Boston. 1999
Van Tooren MJL (2004) Experimental verification of a stress singularity model to predict the effect of bondline thickness on joint strength. J Adhes Sci Technol., 2004 18(4):395–412
Volkersen O (1938) “Die Nietkraftverteilung in Zugbeanspruchten Nietverbindungen mit Konstanten Laschenquerschnitten” (The rivet load distribution in lap-joints with members of constant thickness subjected to tension). Luftfahrtforschung 15:41–47
Wang S, Harvey C (2012) A theory of one-dimensional fracture. Compos Struct 94(2):758–767
Williams JG (1988) On the calculation of energy release rates for cracked laminates. Int J Fract 36(2):101–119
Yang C, Pang SS (1993) Stress–strain analysis of adhesive-bonded single-lap composite joints under cylindrical bending. Compos Eng 3(11):1051–1063
Yang CD, Huang H, Tomblin JS, Sun WJ (2004) Elastic-plastic model of adhesive-bonded single-lap composite joints. J Compos Mater 38(4):293–309
Yousefsani SA, Tahani M (2013) Analytical solutions for adhesively bonded composite single-lap joints under mechanical loadings using full layerwise theory. Int J Adhes Adhes 43:32–41
Zhao B, Lu ZH (2009) A two-dimensional approach of single-lap adhesive bonded joints. Mech Adv Mater Struct 16(2):130–159
Zhao X, Adams RD, da Silva LFM (2010) A new method for the determination of bending moments in single lap joints. Int J Adhes Adhes 30(2):63–71
Acknowledgment
The authors are grateful for the support of the Australian Research Council via a Discovery Projects grant (DP140104408).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this entry
Cite this entry
Tong, L., Luo, Q. (2018). Analytical Approach. In: da Silva, L., Öchsner, A., Adams, R. (eds) Handbook of Adhesion Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-55411-2_24
Download citation
DOI: https://doi.org/10.1007/978-3-319-55411-2_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-55410-5
Online ISBN: 978-3-319-55411-2
eBook Packages: EngineeringReference Module Computer Science and Engineering