An analytical model for determining adhesive stress distributions within the adhesive-bonded single-lap composite joints was developed. ASTM D3165 ‘‘Strength Properties of Adhesives in Shear by Tension Loading of Single-Lap-Joint Laminated Assemblies’’ test specimen geometry was followed in the model derivation. In the model derivation, the composite adherends were assumed linear elastic while the adhesive was assumed elastic-perfectly plastic following von Mises yield criterion. Laminated Anisotropic Plate Theory was applied in the derivation of the governing equations of the bonded laminates. The adhesive was assumed to be very thin and the adhesive stresses are assumed constant through the bondline thickness. The entire coupled system of equations was determined through the kinematics relations and force equilibrium of the adhesive and the adherends. The overall system of governing equations was solved analytically with appropriate boundary conditions. Computer software Maple V was used as the solution tool. The developed stress model was verified with finite element analysis using ABAQUS by comparing the adhesive stress distributions.
1. Kutscha, D. (1964). Mechanics of Adhesive-Bonded Lap-Type Joints: Survey and Review, Technical Report AFML-TDR-64-298.
2.
2. Kutscha, D. and Hofer, K.E. Jr. (1969). Feasibility of Joining Advanced Composite Flight Vehicles, Technical Report AFML-TR-68-391.
3.
3. Matthews, F.L., Kilty, P.F. and Goodwin, E.W. (1982). A Review of the Strength of Joints in Fibre-Reinforced Plastics: Part 2 Adhesively Bonded Joints, Composites, pp. 29-37.
4.
4. Vinson, J.R. (1989). Adhesive Bonding of Polymer Composites, Polymer Engineering and Science, 29: 1325-1331.
5.
5. Goland, M. and Reissner, E. (1994). The Stresses in Cemented Joints, Journal of Applied Mechanics, 11: A-17-A-27.
6.
6. Hart-Smith, L.J. (1973). Adhesive-Bonded Single-Lap Joints, Douglas Aircraft Co., NASA Langley Report CR 112236.
7.
7. Hart-Smith, L.J. (1973). Adhesive-Bonded Double-Lap Joints, Douglas Aircraft Co., NASA Langley Report CR 112235.
8.
8. Hart-Smith, L.J. (1973). Adhesive-Bonded Scarf and Stepped-Lap Joints, Douglas Aircraft Co., NASA Langley Report CR 112237.
9.
9. Hart-Smith, L.J. (1974). Analysis and Design of Advanced Composite Bonded Joints, Douglas Aircraft Co., NASA Langley Report CR-2218.
10.
10. Reissner, E. (1945). The Effect of Transverse Shear Deformation on the Bending of Elastic Plates, Journal of Applied Mechanics, 12: A-69-A-77.
11.
11. Reddy, J.N. (1984). A Refined Nonlinear Theory of Plates with Transverse Shear Deformation, International Journal of Solids and Structures, 20: 881-896.
12.
12. Renton, W.J. and Vinson, J.R. (1977). Analysis of Adhesively Bonded Joints Between Panels of Composite Materials, Journal of Applied Mechanics, 44: 101-106.
13.
13. Yang, C., Pang, S.S. and Griffin, S.A. (1992). Failure Analysis of Adhesive-Bonded Double-Lap Joints Under Cantilevered Bending, Polymer Engineering and Science, 32: 632-640.
14.
14. Yang, C. and Pang, S.S. (1993). Stress-Strain Analysis of Single-Lap Composite Joints under Cylindrical Bending, Composites Engineering, 3: 1051-1063.
15.
15. Yang, C. and Pang, S.S. (1996). Stress-Strain Analysis of Single-Lap Composite Joints under Tension, ASME Transaction, Journal of Engineering Materials and Technology, 118: 247-255.
16.
16. Oplinger, D.W. (1994). Effects of Adherend Deflections in Single Lap Joints, International Journal of Solids and Structures, 31: 2565-2587.
17.
17. Tong, L. (1997). An Assessment of Failure Criteria to Predict the Strength of Adhesively Bonded Composite Double Lap Joints, Journal of Reinforced Plastics and Composites, 16(8): 698-713.
18.
18. Adams, R.D. and Davies, R. (1996). Strength of Joints Involving Composites, Journal of Adhesion, 59: 171-182.
19.
19. Thomas, R., Garcia, F.J. and Adams, R.D. (1998). Adhesive Joining of Composite Laminates, Plastics, Rubber, and Composite Processing and Applications, 27(4): 200-205.
20.
20. Huang, H., Yang, C., Tomblin, J. S. and Harter, P. (2002). Stress and Failure Analyses of Adhesive-Bonded Composite Joints using ASTM D3165 Specimens, ASTM Journal of Composites Technology & Research, 24(2): 345-356.
21.
21. Chai, H. (1992). Micromechanics of Shear Deformations in Cracked Bonded Joints, International Journal of Fracture, 58: 223-239.
22.
22. Chai, H. (1993). Deformation and Failure of Adhesive Bonds under Shear Loading, Journal of Materials Science, 28: 494-506.
23.
23. Chai, H. and Chiang, M.Y.M. (1996). A Crack Propagation Criterion Based on Local Shear Strain in Adhesive Bonds Subjected to Shear, Journal of Mech. Phys. Solids, 44(10): 1669-1689.
24.
24. Needleman, A. and Rosakis, A.J. (1999). Effect of Bond Strength and Loading Rate on the Conditions Governing the Attainment of Intersonic Crack Growth Along Interfaces, Journal of the Mechanics and Physics of Solids, 47(12): 2411-2449.
25.
25. Charalambides, M.N., Hardouin, R., Kinloch, A.J. and Matthews, F.L. (1998). Adhesively-Bonded Repairs to Fibre-Composite Materials I: Experimental, Composites Part A, 29A: 1371-1381.
26.
26. Charalambides, M.N., Kinloch, A.J. and Matthews, F.L. (1998). Adhesively-Bonded Repairs to Fibre-Composite Materials II: Finite Element Modeling, Composites Part A, 29A: 1383-1396.
27.
27. Monagan M.B., Geddes, K.O., Heal, K.M., Labahn, G. and Vorkoetter, S. (1996). Maple V Programming Guide, Springer-Verlag, New York.
31. Reissner, E. (1945). The Effect of Tranaverse Shear Deformation on the Bending of Elastic Plates, ASME Journal of Applied Mechanics, 12: A-69-A-77.
32.
32. Mindlin, R.D. (1951). Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates, ASME Journal of Applied Mechanics, 18: 336-343.
33.
33. Chow, J.S. (1971). On the Propagation of Flexural Waves in an Orthotropic Plate and its Response to an Impulsive Load, Journal of Composite Materials, 5: 306-319.
34.
34. Whitney, J.M. (July 1972). Stress Analysis of Thick Laminated Composite and Sandwich Plates, Journal of Composite Materials, 6: 426-440.
35.
35. Whitney, J.M. (1973). Shear Correction Factors for Orthotropic Laminates under Static Load, ASME Journal of Applied Mechanics, 40: 302-304.
36.
36. Bert, C.W. (1973). Simplified Analysis of Static Shear Factors for Beams of Homogeneous Cross Section, Journal of Composite Materials, 7: 525-529.
37.
37. Dharmarajan, S. and McCutchen, H.Jr. (1973). Shear Coefficients for Orthotropic Beams, Journal of Composite Materials, 7: 530-535.
38.
38. Whitney, J.M. and Pagano, N.J. (1970). Shear Deformation in Heterogeneous Anisotropic Plates, ASME Journal of Applied Mechanics, 37: 1031-1036.
39.
39. Chakrabarty, J. (1987). Theory of Plasticity, McGraw-Hill, New York, NY.
40.
40. Chen, W.F. and Han, D.J. (1988). Plasticity for Structural Engineers, Springer-Verlag, New York, NY.
